diff --git a/include/eigen/Eigen/Cholesky b/include/eigen/Eigen/Cholesky
new file mode 100644
index 0000000000000000000000000000000000000000..a318ceb797dbaa10b2e1185583eb4803d7a83f8f
--- /dev/null
+++ b/include/eigen/Eigen/Cholesky
@@ -0,0 +1,45 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_CHOLESKY_MODULE_H
+#define EIGEN_CHOLESKY_MODULE_H
+
+#include "Core"
+#include "Jacobi"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup Cholesky_Module Cholesky module
+  *
+  *
+  *
+  * This module provides two variants of the Cholesky decomposition for selfadjoint (hermitian) matrices.
+  * Those decompositions are also accessible via the following methods:
+  *  - MatrixBase::llt()
+  *  - MatrixBase::ldlt()
+  *  - SelfAdjointView::llt()
+  *  - SelfAdjointView::ldlt()
+  *
+  * \code
+  * #include <Eigen/Cholesky>
+  * \endcode
+  */
+
+#include "src/Cholesky/LLT.h"
+#include "src/Cholesky/LDLT.h"
+#ifdef EIGEN_USE_LAPACKE
+#ifdef EIGEN_USE_MKL
+#include "mkl_lapacke.h"
+#else
+#include "src/misc/lapacke.h"
+#endif
+#include "src/Cholesky/LLT_LAPACKE.h"
+#endif
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_CHOLESKY_MODULE_H
diff --git a/include/eigen/Eigen/CholmodSupport b/include/eigen/Eigen/CholmodSupport
new file mode 100644
index 0000000000000000000000000000000000000000..1037bd55de367eaae9cc2484d39acc2146f3cadb
--- /dev/null
+++ b/include/eigen/Eigen/CholmodSupport
@@ -0,0 +1,48 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_CHOLMODSUPPORT_MODULE_H
+#define EIGEN_CHOLMODSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+extern "C" {
+  #include <cholmod.h>
+}
+
+/** \ingroup Support_modules
+  * \defgroup CholmodSupport_Module CholmodSupport module
+  *
+  * This module provides an interface to the Cholmod library which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
+  * It provides the two following main factorization classes:
+  * - class CholmodSupernodalLLT: a supernodal LLT Cholesky factorization.
+  * - class CholmodDecomposition: a general L(D)LT Cholesky factorization with automatic or explicit runtime selection of the underlying factorization method (supernodal or simplicial).
+  *
+  * For the sake of completeness, this module also propose the two following classes:
+  * - class CholmodSimplicialLLT
+  * - class CholmodSimplicialLDLT
+  * Note that these classes does not bring any particular advantage compared to the built-in
+  * SimplicialLLT and SimplicialLDLT factorization classes.
+  *
+  * \code
+  * #include <Eigen/CholmodSupport>
+  * \endcode
+  *
+  * In order to use this module, the cholmod headers must be accessible from the include paths, and your binary must be linked to the cholmod library and its dependencies.
+  * The dependencies depend on how cholmod has been compiled.
+  * For a cmake based project, you can use our FindCholmod.cmake module to help you in this task.
+  *
+  */
+
+#include "src/CholmodSupport/CholmodSupport.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_CHOLMODSUPPORT_MODULE_H
+
diff --git a/include/eigen/Eigen/Core b/include/eigen/Eigen/Core
new file mode 100644
index 0000000000000000000000000000000000000000..bb16c86fbda3e90b3fe44a23daee7898f94c1ede
--- /dev/null
+++ b/include/eigen/Eigen/Core
@@ -0,0 +1,385 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2007-2011 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_CORE_H
+#define EIGEN_CORE_H
+
+// first thing Eigen does: stop the compiler from reporting useless warnings.
+#include "src/Core/util/DisableStupidWarnings.h"
+
+// then include this file where all our macros are defined. It's really important to do it first because
+// it's where we do all the compiler/OS/arch detections and define most defaults.
+#include "src/Core/util/Macros.h"
+
+// This detects SSE/AVX/NEON/etc. and configure alignment settings
+#include "src/Core/util/ConfigureVectorization.h"
+
+// We need cuda_runtime.h/hip_runtime.h to ensure that
+// the EIGEN_USING_STD macro works properly on the device side
+#if defined(EIGEN_CUDACC)
+  #include <cuda_runtime.h>
+#elif defined(EIGEN_HIPCC)
+  #include <hip/hip_runtime.h>
+#endif
+
+
+#ifdef EIGEN_EXCEPTIONS
+  #include <new>
+#endif
+
+// Disable the ipa-cp-clone optimization flag with MinGW 6.x or newer (enabled by default with -O3)
+// See http://eigen.tuxfamily.org/bz/show_bug.cgi?id=556 for details.
+#if EIGEN_COMP_MINGW && EIGEN_GNUC_AT_LEAST(4,6) && EIGEN_GNUC_AT_MOST(5,5)
+  #pragma GCC optimize ("-fno-ipa-cp-clone")
+#endif
+
+// Prevent ICC from specializing std::complex operators that silently fail
+// on device. This allows us to use our own device-compatible specializations
+// instead.
+#if defined(EIGEN_COMP_ICC) && defined(EIGEN_GPU_COMPILE_PHASE) \
+    && !defined(_OVERRIDE_COMPLEX_SPECIALIZATION_)
+#define _OVERRIDE_COMPLEX_SPECIALIZATION_ 1
+#endif
+#include <complex>
+
+// this include file manages BLAS and MKL related macros
+// and inclusion of their respective header files
+#include "src/Core/util/MKL_support.h"
+
+
+#if defined(EIGEN_HAS_CUDA_FP16) || defined(EIGEN_HAS_HIP_FP16)
+  #define EIGEN_HAS_GPU_FP16
+#endif
+
+#if defined(EIGEN_HAS_CUDA_BF16) || defined(EIGEN_HAS_HIP_BF16)
+  #define EIGEN_HAS_GPU_BF16
+#endif
+
+#if (defined _OPENMP) && (!defined EIGEN_DONT_PARALLELIZE)
+  #define EIGEN_HAS_OPENMP
+#endif
+
+#ifdef EIGEN_HAS_OPENMP
+#include <omp.h>
+#endif
+
+// MSVC for windows mobile does not have the errno.h file
+#if !(EIGEN_COMP_MSVC && EIGEN_OS_WINCE) && !EIGEN_COMP_ARM
+#define EIGEN_HAS_ERRNO
+#endif
+
+#ifdef EIGEN_HAS_ERRNO
+#include <cerrno>
+#endif
+#include <cstddef>
+#include <cstdlib>
+#include <cmath>
+#include <cassert>
+#include <functional>
+#ifndef EIGEN_NO_IO
+  #include <sstream>
+  #include <iosfwd>
+#endif
+#include <cstring>
+#include <string>
+#include <limits>
+#include <climits> // for CHAR_BIT
+// for min/max:
+#include <algorithm>
+
+#if EIGEN_HAS_CXX11
+#include <array>
+#endif
+
+// for std::is_nothrow_move_assignable
+#ifdef EIGEN_INCLUDE_TYPE_TRAITS
+#include <type_traits>
+#endif
+
+// for outputting debug info
+#ifdef EIGEN_DEBUG_ASSIGN
+#include <iostream>
+#endif
+
+// required for __cpuid, needs to be included after cmath
+// also required for _BitScanReverse on Windows on ARM
+#if EIGEN_COMP_MSVC && (EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM64) && !EIGEN_OS_WINCE
+  #include <intrin.h>
+#endif
+
+#if defined(EIGEN_USE_SYCL)
+  #undef min
+  #undef max
+  #undef isnan
+  #undef isinf
+  #undef isfinite
+  #include <CL/sycl.hpp>
+  #include <map>
+  #include <memory>
+  #include <utility>
+  #include <thread>
+  #ifndef EIGEN_SYCL_LOCAL_THREAD_DIM0
+  #define EIGEN_SYCL_LOCAL_THREAD_DIM0 16
+  #endif
+  #ifndef EIGEN_SYCL_LOCAL_THREAD_DIM1
+  #define EIGEN_SYCL_LOCAL_THREAD_DIM1 16
+  #endif
+#endif
+
+
+#if defined EIGEN2_SUPPORT_STAGE40_FULL_EIGEN3_STRICTNESS || defined EIGEN2_SUPPORT_STAGE30_FULL_EIGEN3_API || defined EIGEN2_SUPPORT_STAGE20_RESOLVE_API_CONFLICTS || defined EIGEN2_SUPPORT_STAGE10_FULL_EIGEN2_API || defined EIGEN2_SUPPORT
+// This will generate an error message:
+#error Eigen2-support is only available up to version 3.2. Please go to "http://eigen.tuxfamily.org/index.php?title=Eigen2" for further information
+#endif
+
+namespace Eigen {
+
+// we use size_t frequently and we'll never remember to prepend it with std:: every time just to
+// ensure QNX/QCC support
+using std::size_t;
+// gcc 4.6.0 wants std:: for ptrdiff_t
+using std::ptrdiff_t;
+
+}
+
+/** \defgroup Core_Module Core module
+  * This is the main module of Eigen providing dense matrix and vector support
+  * (both fixed and dynamic size) with all the features corresponding to a BLAS library
+  * and much more...
+  *
+  * \code
+  * #include <Eigen/Core>
+  * \endcode
+  */
+
+#include "src/Core/util/Constants.h"
+#include "src/Core/util/Meta.h"
+#include "src/Core/util/ForwardDeclarations.h"
+#include "src/Core/util/StaticAssert.h"
+#include "src/Core/util/XprHelper.h"
+#include "src/Core/util/Memory.h"
+#include "src/Core/util/IntegralConstant.h"
+#include "src/Core/util/SymbolicIndex.h"
+
+#include "src/Core/NumTraits.h"
+#include "src/Core/MathFunctions.h"
+#include "src/Core/GenericPacketMath.h"
+#include "src/Core/MathFunctionsImpl.h"
+#include "src/Core/arch/Default/ConjHelper.h"
+// Generic half float support
+#include "src/Core/arch/Default/Half.h"
+#include "src/Core/arch/Default/BFloat16.h"
+#include "src/Core/arch/Default/TypeCasting.h"
+#include "src/Core/arch/Default/GenericPacketMathFunctionsFwd.h"
+
+#if defined EIGEN_VECTORIZE_AVX512
+  #include "src/Core/arch/SSE/PacketMath.h"
+  #include "src/Core/arch/SSE/TypeCasting.h"
+  #include "src/Core/arch/SSE/Complex.h"
+  #include "src/Core/arch/AVX/PacketMath.h"
+  #include "src/Core/arch/AVX/TypeCasting.h"
+  #include "src/Core/arch/AVX/Complex.h"
+  #include "src/Core/arch/AVX512/PacketMath.h"
+  #include "src/Core/arch/AVX512/TypeCasting.h"
+  #include "src/Core/arch/AVX512/Complex.h"
+  #include "src/Core/arch/SSE/MathFunctions.h"
+  #include "src/Core/arch/AVX/MathFunctions.h"
+  #include "src/Core/arch/AVX512/MathFunctions.h"
+#elif defined EIGEN_VECTORIZE_AVX
+  // Use AVX for floats and doubles, SSE for integers
+  #include "src/Core/arch/SSE/PacketMath.h"
+  #include "src/Core/arch/SSE/TypeCasting.h"
+  #include "src/Core/arch/SSE/Complex.h"
+  #include "src/Core/arch/AVX/PacketMath.h"
+  #include "src/Core/arch/AVX/TypeCasting.h"
+  #include "src/Core/arch/AVX/Complex.h"
+  #include "src/Core/arch/SSE/MathFunctions.h"
+  #include "src/Core/arch/AVX/MathFunctions.h"
+#elif defined EIGEN_VECTORIZE_SSE
+  #include "src/Core/arch/SSE/PacketMath.h"
+  #include "src/Core/arch/SSE/TypeCasting.h"
+  #include "src/Core/arch/SSE/MathFunctions.h"
+  #include "src/Core/arch/SSE/Complex.h"
+#elif defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX)
+  #include "src/Core/arch/AltiVec/PacketMath.h"
+  #include "src/Core/arch/AltiVec/MathFunctions.h"
+  #include "src/Core/arch/AltiVec/Complex.h"
+#elif defined EIGEN_VECTORIZE_NEON
+  #include "src/Core/arch/NEON/PacketMath.h"
+  #include "src/Core/arch/NEON/TypeCasting.h"
+  #include "src/Core/arch/NEON/MathFunctions.h"
+  #include "src/Core/arch/NEON/Complex.h"
+#elif defined EIGEN_VECTORIZE_SVE
+  #include "src/Core/arch/SVE/PacketMath.h"
+  #include "src/Core/arch/SVE/TypeCasting.h"
+  #include "src/Core/arch/SVE/MathFunctions.h"
+#elif defined EIGEN_VECTORIZE_ZVECTOR
+  #include "src/Core/arch/ZVector/PacketMath.h"
+  #include "src/Core/arch/ZVector/MathFunctions.h"
+  #include "src/Core/arch/ZVector/Complex.h"
+#elif defined EIGEN_VECTORIZE_MSA
+  #include "src/Core/arch/MSA/PacketMath.h"
+  #include "src/Core/arch/MSA/MathFunctions.h"
+  #include "src/Core/arch/MSA/Complex.h"
+#endif
+
+#if defined EIGEN_VECTORIZE_GPU
+  #include "src/Core/arch/GPU/PacketMath.h"
+  #include "src/Core/arch/GPU/MathFunctions.h"
+  #include "src/Core/arch/GPU/TypeCasting.h"
+#endif
+
+#if defined(EIGEN_USE_SYCL)
+  #include "src/Core/arch/SYCL/SyclMemoryModel.h"
+  #include "src/Core/arch/SYCL/InteropHeaders.h"
+#if !defined(EIGEN_DONT_VECTORIZE_SYCL)
+  #include "src/Core/arch/SYCL/PacketMath.h"
+  #include "src/Core/arch/SYCL/MathFunctions.h"
+  #include "src/Core/arch/SYCL/TypeCasting.h"
+#endif
+#endif
+
+#include "src/Core/arch/Default/Settings.h"
+// This file provides generic implementations valid for scalar as well
+#include "src/Core/arch/Default/GenericPacketMathFunctions.h"
+
+#include "src/Core/functors/TernaryFunctors.h"
+#include "src/Core/functors/BinaryFunctors.h"
+#include "src/Core/functors/UnaryFunctors.h"
+#include "src/Core/functors/NullaryFunctors.h"
+#include "src/Core/functors/StlFunctors.h"
+#include "src/Core/functors/AssignmentFunctors.h"
+
+// Specialized functors to enable the processing of complex numbers
+// on CUDA devices
+#ifdef EIGEN_CUDACC
+#include "src/Core/arch/CUDA/Complex.h"
+#endif
+
+#include "src/Core/util/IndexedViewHelper.h"
+#include "src/Core/util/ReshapedHelper.h"
+#include "src/Core/ArithmeticSequence.h"
+#ifndef EIGEN_NO_IO
+  #include "src/Core/IO.h"
+#endif
+#include "src/Core/DenseCoeffsBase.h"
+#include "src/Core/DenseBase.h"
+#include "src/Core/MatrixBase.h"
+#include "src/Core/EigenBase.h"
+
+#include "src/Core/Product.h"
+#include "src/Core/CoreEvaluators.h"
+#include "src/Core/AssignEvaluator.h"
+
+#ifndef EIGEN_PARSED_BY_DOXYGEN // work around Doxygen bug triggered by Assign.h r814874
+                                // at least confirmed with Doxygen 1.5.5 and 1.5.6
+  #include "src/Core/Assign.h"
+#endif
+
+#include "src/Core/ArrayBase.h"
+#include "src/Core/util/BlasUtil.h"
+#include "src/Core/DenseStorage.h"
+#include "src/Core/NestByValue.h"
+
+// #include "src/Core/ForceAlignedAccess.h"
+
+#include "src/Core/ReturnByValue.h"
+#include "src/Core/NoAlias.h"
+#include "src/Core/PlainObjectBase.h"
+#include "src/Core/Matrix.h"
+#include "src/Core/Array.h"
+#include "src/Core/CwiseTernaryOp.h"
+#include "src/Core/CwiseBinaryOp.h"
+#include "src/Core/CwiseUnaryOp.h"
+#include "src/Core/CwiseNullaryOp.h"
+#include "src/Core/CwiseUnaryView.h"
+#include "src/Core/SelfCwiseBinaryOp.h"
+#include "src/Core/Dot.h"
+#include "src/Core/StableNorm.h"
+#include "src/Core/Stride.h"
+#include "src/Core/MapBase.h"
+#include "src/Core/Map.h"
+#include "src/Core/Ref.h"
+#include "src/Core/Block.h"
+#include "src/Core/VectorBlock.h"
+#include "src/Core/IndexedView.h"
+#include "src/Core/Reshaped.h"
+#include "src/Core/Transpose.h"
+#include "src/Core/DiagonalMatrix.h"
+#include "src/Core/Diagonal.h"
+#include "src/Core/DiagonalProduct.h"
+#include "src/Core/Redux.h"
+#include "src/Core/Visitor.h"
+#include "src/Core/Fuzzy.h"
+#include "src/Core/Swap.h"
+#include "src/Core/CommaInitializer.h"
+#include "src/Core/GeneralProduct.h"
+#include "src/Core/Solve.h"
+#include "src/Core/Inverse.h"
+#include "src/Core/SolverBase.h"
+#include "src/Core/PermutationMatrix.h"
+#include "src/Core/Transpositions.h"
+#include "src/Core/TriangularMatrix.h"
+#include "src/Core/SelfAdjointView.h"
+#include "src/Core/products/GeneralBlockPanelKernel.h"
+#include "src/Core/products/Parallelizer.h"
+#include "src/Core/ProductEvaluators.h"
+#include "src/Core/products/GeneralMatrixVector.h"
+#include "src/Core/products/GeneralMatrixMatrix.h"
+#include "src/Core/SolveTriangular.h"
+#include "src/Core/products/GeneralMatrixMatrixTriangular.h"
+#include "src/Core/products/SelfadjointMatrixVector.h"
+#include "src/Core/products/SelfadjointMatrixMatrix.h"
+#include "src/Core/products/SelfadjointProduct.h"
+#include "src/Core/products/SelfadjointRank2Update.h"
+#include "src/Core/products/TriangularMatrixVector.h"
+#include "src/Core/products/TriangularMatrixMatrix.h"
+#include "src/Core/products/TriangularSolverMatrix.h"
+#include "src/Core/products/TriangularSolverVector.h"
+#include "src/Core/BandMatrix.h"
+#include "src/Core/CoreIterators.h"
+#include "src/Core/ConditionEstimator.h"
+
+#if defined(EIGEN_VECTORIZE_VSX)
+  #include "src/Core/arch/AltiVec/MatrixProduct.h"
+#elif defined EIGEN_VECTORIZE_NEON
+  #include "src/Core/arch/NEON/GeneralBlockPanelKernel.h"
+#endif
+
+#include "src/Core/BooleanRedux.h"
+#include "src/Core/Select.h"
+#include "src/Core/VectorwiseOp.h"
+#include "src/Core/PartialReduxEvaluator.h"
+#include "src/Core/Random.h"
+#include "src/Core/Replicate.h"
+#include "src/Core/Reverse.h"
+#include "src/Core/ArrayWrapper.h"
+#include "src/Core/StlIterators.h"
+
+#ifdef EIGEN_USE_BLAS
+#include "src/Core/products/GeneralMatrixMatrix_BLAS.h"
+#include "src/Core/products/GeneralMatrixVector_BLAS.h"
+#include "src/Core/products/GeneralMatrixMatrixTriangular_BLAS.h"
+#include "src/Core/products/SelfadjointMatrixMatrix_BLAS.h"
+#include "src/Core/products/SelfadjointMatrixVector_BLAS.h"
+#include "src/Core/products/TriangularMatrixMatrix_BLAS.h"
+#include "src/Core/products/TriangularMatrixVector_BLAS.h"
+#include "src/Core/products/TriangularSolverMatrix_BLAS.h"
+#endif // EIGEN_USE_BLAS
+
+#ifdef EIGEN_USE_MKL_VML
+#include "src/Core/Assign_MKL.h"
+#endif
+
+#include "src/Core/GlobalFunctions.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_CORE_H
diff --git a/include/eigen/Eigen/Dense b/include/eigen/Eigen/Dense
new file mode 100644
index 0000000000000000000000000000000000000000..5768910bd88c43f0761f2f345c6f0e3b46a4d8ec
--- /dev/null
+++ b/include/eigen/Eigen/Dense
@@ -0,0 +1,7 @@
+#include "Core"
+#include "LU"
+#include "Cholesky"
+#include "QR"
+#include "SVD"
+#include "Geometry"
+#include "Eigenvalues"
diff --git a/include/eigen/Eigen/Eigen b/include/eigen/Eigen/Eigen
new file mode 100644
index 0000000000000000000000000000000000000000..654c8dc6380f7bb21d3ba1a9ce916006043552aa
--- /dev/null
+++ b/include/eigen/Eigen/Eigen
@@ -0,0 +1,2 @@
+#include "Dense"
+#include "Sparse"
diff --git a/include/eigen/Eigen/Eigenvalues b/include/eigen/Eigen/Eigenvalues
new file mode 100644
index 0000000000000000000000000000000000000000..5467a2e7b3ecf40c3e544bb29717a66c83f7eaa1
--- /dev/null
+++ b/include/eigen/Eigen/Eigenvalues
@@ -0,0 +1,60 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_EIGENVALUES_MODULE_H
+#define EIGEN_EIGENVALUES_MODULE_H
+
+#include "Core"
+
+#include "Cholesky"
+#include "Jacobi"
+#include "Householder"
+#include "LU"
+#include "Geometry"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup Eigenvalues_Module Eigenvalues module
+  *
+  *
+  *
+  * This module mainly provides various eigenvalue solvers.
+  * This module also provides some MatrixBase methods, including:
+  *  - MatrixBase::eigenvalues(),
+  *  - MatrixBase::operatorNorm()
+  *
+  * \code
+  * #include <Eigen/Eigenvalues>
+  * \endcode
+  */
+
+#include "src/misc/RealSvd2x2.h"
+#include "src/Eigenvalues/Tridiagonalization.h"
+#include "src/Eigenvalues/RealSchur.h"
+#include "src/Eigenvalues/EigenSolver.h"
+#include "src/Eigenvalues/SelfAdjointEigenSolver.h"
+#include "src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h"
+#include "src/Eigenvalues/HessenbergDecomposition.h"
+#include "src/Eigenvalues/ComplexSchur.h"
+#include "src/Eigenvalues/ComplexEigenSolver.h"
+#include "src/Eigenvalues/RealQZ.h"
+#include "src/Eigenvalues/GeneralizedEigenSolver.h"
+#include "src/Eigenvalues/MatrixBaseEigenvalues.h"
+#ifdef EIGEN_USE_LAPACKE
+#ifdef EIGEN_USE_MKL
+#include "mkl_lapacke.h"
+#else
+#include "src/misc/lapacke.h"
+#endif
+#include "src/Eigenvalues/RealSchur_LAPACKE.h"
+#include "src/Eigenvalues/ComplexSchur_LAPACKE.h"
+#include "src/Eigenvalues/SelfAdjointEigenSolver_LAPACKE.h"
+#endif
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_EIGENVALUES_MODULE_H
diff --git a/include/eigen/Eigen/Geometry b/include/eigen/Eigen/Geometry
new file mode 100644
index 0000000000000000000000000000000000000000..bc78110a846693fa45caa0780cf29d7285695f08
--- /dev/null
+++ b/include/eigen/Eigen/Geometry
@@ -0,0 +1,59 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_GEOMETRY_MODULE_H
+#define EIGEN_GEOMETRY_MODULE_H
+
+#include "Core"
+
+#include "SVD"
+#include "LU"
+#include <limits>
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup Geometry_Module Geometry module
+  *
+  * This module provides support for:
+  *  - fixed-size homogeneous transformations
+  *  - translation, scaling, 2D and 3D rotations
+  *  - \link Quaternion quaternions \endlink
+  *  - cross products (\ref MatrixBase::cross, \ref MatrixBase::cross3)
+  *  - orthognal vector generation (\ref MatrixBase::unitOrthogonal)
+  *  - some linear components: \link ParametrizedLine parametrized-lines \endlink and \link Hyperplane hyperplanes \endlink
+  *  - \link AlignedBox axis aligned bounding boxes \endlink
+  *  - \link umeyama least-square transformation fitting \endlink
+  *
+  * \code
+  * #include <Eigen/Geometry>
+  * \endcode
+  */
+
+#include "src/Geometry/OrthoMethods.h"
+#include "src/Geometry/EulerAngles.h"
+
+#include "src/Geometry/Homogeneous.h"
+#include "src/Geometry/RotationBase.h"
+#include "src/Geometry/Rotation2D.h"
+#include "src/Geometry/Quaternion.h"
+#include "src/Geometry/AngleAxis.h"
+#include "src/Geometry/Transform.h"
+#include "src/Geometry/Translation.h"
+#include "src/Geometry/Scaling.h"
+#include "src/Geometry/Hyperplane.h"
+#include "src/Geometry/ParametrizedLine.h"
+#include "src/Geometry/AlignedBox.h"
+#include "src/Geometry/Umeyama.h"
+
+// Use the SSE optimized version whenever possible.
+#if (defined EIGEN_VECTORIZE_SSE) || (defined EIGEN_VECTORIZE_NEON)
+#include "src/Geometry/arch/Geometry_SIMD.h"
+#endif
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_GEOMETRY_MODULE_H
diff --git a/include/eigen/Eigen/Householder b/include/eigen/Eigen/Householder
new file mode 100644
index 0000000000000000000000000000000000000000..f2fa79969c96339bd317d157a37c72ec71b4024b
--- /dev/null
+++ b/include/eigen/Eigen/Householder
@@ -0,0 +1,29 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_HOUSEHOLDER_MODULE_H
+#define EIGEN_HOUSEHOLDER_MODULE_H
+
+#include "Core"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup Householder_Module Householder module
+  * This module provides Householder transformations.
+  *
+  * \code
+  * #include <Eigen/Householder>
+  * \endcode
+  */
+
+#include "src/Householder/Householder.h"
+#include "src/Householder/HouseholderSequence.h"
+#include "src/Householder/BlockHouseholder.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_HOUSEHOLDER_MODULE_H
diff --git a/include/eigen/Eigen/IterativeLinearSolvers b/include/eigen/Eigen/IterativeLinearSolvers
new file mode 100644
index 0000000000000000000000000000000000000000..957d5750b2cd6f9a429c7140335487a4d8b87b25
--- /dev/null
+++ b/include/eigen/Eigen/IterativeLinearSolvers
@@ -0,0 +1,48 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_ITERATIVELINEARSOLVERS_MODULE_H
+#define EIGEN_ITERATIVELINEARSOLVERS_MODULE_H
+
+#include "SparseCore"
+#include "OrderingMethods"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** 
+  * \defgroup IterativeLinearSolvers_Module IterativeLinearSolvers module
+  *
+  * This module currently provides iterative methods to solve problems of the form \c A \c x = \c b, where \c A is a squared matrix, usually very large and sparse.
+  * Those solvers are accessible via the following classes:
+  *  - ConjugateGradient for selfadjoint (hermitian) matrices,
+  *  - LeastSquaresConjugateGradient for rectangular least-square problems,
+  *  - BiCGSTAB for general square matrices.
+  *
+  * These iterative solvers are associated with some preconditioners:
+  *  - IdentityPreconditioner - not really useful
+  *  - DiagonalPreconditioner - also called Jacobi preconditioner, work very well on diagonal dominant matrices.
+  *  - IncompleteLUT - incomplete LU factorization with dual thresholding
+  *
+  * Such problems can also be solved using the direct sparse decomposition modules: SparseCholesky, CholmodSupport, UmfPackSupport, SuperLUSupport.
+  *
+    \code
+    #include <Eigen/IterativeLinearSolvers>
+    \endcode
+  */
+
+#include "src/IterativeLinearSolvers/SolveWithGuess.h"
+#include "src/IterativeLinearSolvers/IterativeSolverBase.h"
+#include "src/IterativeLinearSolvers/BasicPreconditioners.h"
+#include "src/IterativeLinearSolvers/ConjugateGradient.h"
+#include "src/IterativeLinearSolvers/LeastSquareConjugateGradient.h"
+#include "src/IterativeLinearSolvers/BiCGSTAB.h"
+#include "src/IterativeLinearSolvers/IncompleteLUT.h"
+#include "src/IterativeLinearSolvers/IncompleteCholesky.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_ITERATIVELINEARSOLVERS_MODULE_H
diff --git a/include/eigen/Eigen/Jacobi b/include/eigen/Eigen/Jacobi
new file mode 100644
index 0000000000000000000000000000000000000000..43edc7a1946edaa8c30c8715c50ebcf8d817fa3a
--- /dev/null
+++ b/include/eigen/Eigen/Jacobi
@@ -0,0 +1,32 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_JACOBI_MODULE_H
+#define EIGEN_JACOBI_MODULE_H
+
+#include "Core"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup Jacobi_Module Jacobi module
+  * This module provides Jacobi and Givens rotations.
+  *
+  * \code
+  * #include <Eigen/Jacobi>
+  * \endcode
+  *
+  * In addition to listed classes, it defines the two following MatrixBase methods to apply a Jacobi or Givens rotation:
+  *  - MatrixBase::applyOnTheLeft()
+  *  - MatrixBase::applyOnTheRight().
+  */
+
+#include "src/Jacobi/Jacobi.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_JACOBI_MODULE_H
+
diff --git a/include/eigen/Eigen/KLUSupport b/include/eigen/Eigen/KLUSupport
new file mode 100644
index 0000000000000000000000000000000000000000..b23d905351566cb425a803cba5868ea43338f9a6
--- /dev/null
+++ b/include/eigen/Eigen/KLUSupport
@@ -0,0 +1,41 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_KLUSUPPORT_MODULE_H
+#define EIGEN_KLUSUPPORT_MODULE_H
+
+#include <Eigen/SparseCore>
+
+#include <Eigen/src/Core/util/DisableStupidWarnings.h>
+
+extern "C" {
+#include <btf.h>
+#include <klu.h>
+   }
+
+/** \ingroup Support_modules
+  * \defgroup KLUSupport_Module KLUSupport module
+  *
+  * This module provides an interface to the KLU library which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
+  * It provides the following factorization class:
+  * - class KLU: a sparse LU factorization, well-suited for circuit simulation.
+  *
+  * \code
+  * #include <Eigen/KLUSupport>
+  * \endcode
+  *
+  * In order to use this module, the klu and btf headers must be accessible from the include paths, and your binary must be linked to the klu library and its dependencies.
+  * The dependencies depend on how umfpack has been compiled.
+  * For a cmake based project, you can use our FindKLU.cmake module to help you in this task.
+  *
+  */
+
+#include "src/KLUSupport/KLUSupport.h"
+
+#include <Eigen/src/Core/util/ReenableStupidWarnings.h>
+
+#endif // EIGEN_KLUSUPPORT_MODULE_H
diff --git a/include/eigen/Eigen/LU b/include/eigen/Eigen/LU
new file mode 100644
index 0000000000000000000000000000000000000000..1236ceb04676f5e180b589f8ca70c3d9362710cf
--- /dev/null
+++ b/include/eigen/Eigen/LU
@@ -0,0 +1,47 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_LU_MODULE_H
+#define EIGEN_LU_MODULE_H
+
+#include "Core"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup LU_Module LU module
+  * This module includes %LU decomposition and related notions such as matrix inversion and determinant.
+  * This module defines the following MatrixBase methods:
+  *  - MatrixBase::inverse()
+  *  - MatrixBase::determinant()
+  *
+  * \code
+  * #include <Eigen/LU>
+  * \endcode
+  */
+
+#include "src/misc/Kernel.h"
+#include "src/misc/Image.h"
+#include "src/LU/FullPivLU.h"
+#include "src/LU/PartialPivLU.h"
+#ifdef EIGEN_USE_LAPACKE
+#ifdef EIGEN_USE_MKL
+#include "mkl_lapacke.h"
+#else
+#include "src/misc/lapacke.h"
+#endif
+#include "src/LU/PartialPivLU_LAPACKE.h"
+#endif
+#include "src/LU/Determinant.h"
+#include "src/LU/InverseImpl.h"
+
+#if defined EIGEN_VECTORIZE_SSE || defined EIGEN_VECTORIZE_NEON
+  #include "src/LU/arch/InverseSize4.h"
+#endif
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_LU_MODULE_H
diff --git a/include/eigen/Eigen/MetisSupport b/include/eigen/Eigen/MetisSupport
new file mode 100644
index 0000000000000000000000000000000000000000..85c41bf340013e4583e505c496dfb567dc6ae80a
--- /dev/null
+++ b/include/eigen/Eigen/MetisSupport
@@ -0,0 +1,35 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_METISSUPPORT_MODULE_H
+#define EIGEN_METISSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+extern "C" {
+#include <metis.h>
+}
+
+
+/** \ingroup Support_modules
+  * \defgroup MetisSupport_Module MetisSupport module
+  *
+  * \code
+  * #include <Eigen/MetisSupport>
+  * \endcode
+  * This module defines an interface to the METIS reordering package (http://glaros.dtc.umn.edu/gkhome/views/metis). 
+  * It can be used just as any other built-in method as explained in \link OrderingMethods_Module here. \endlink
+  */
+
+
+#include "src/MetisSupport/MetisSupport.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_METISSUPPORT_MODULE_H
diff --git a/include/eigen/Eigen/OrderingMethods b/include/eigen/Eigen/OrderingMethods
new file mode 100644
index 0000000000000000000000000000000000000000..29691a62b44d4956a660a677233c7bce3fd05dce
--- /dev/null
+++ b/include/eigen/Eigen/OrderingMethods
@@ -0,0 +1,70 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_ORDERINGMETHODS_MODULE_H
+#define EIGEN_ORDERINGMETHODS_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** 
+  * \defgroup OrderingMethods_Module OrderingMethods module
+  *
+  * This module is currently for internal use only
+  * 
+  * It defines various built-in and external ordering methods for sparse matrices. 
+  * They are typically used to reduce the number of elements during 
+  * the sparse matrix decomposition (LLT, LU, QR).
+  * Precisely, in a preprocessing step, a permutation matrix P is computed using 
+  * those ordering methods and applied to the columns of the matrix. 
+  * Using for instance the sparse Cholesky decomposition, it is expected that 
+  * the nonzeros elements in LLT(A*P) will be much smaller than that in LLT(A).
+  * 
+  * 
+  * Usage : 
+  * \code
+  * #include <Eigen/OrderingMethods>
+  * \endcode
+  * 
+  * A simple usage is as a template parameter in the sparse decomposition classes : 
+  * 
+  * \code 
+  * SparseLU<MatrixType, COLAMDOrdering<int> > solver;
+  * \endcode 
+  * 
+  * \code 
+  * SparseQR<MatrixType, COLAMDOrdering<int> > solver;
+  * \endcode
+  * 
+  * It is possible as well to call directly a particular ordering method for your own purpose, 
+  * \code 
+  * AMDOrdering<int> ordering;
+  * PermutationMatrix<Dynamic, Dynamic, int> perm;
+  * SparseMatrix<double> A; 
+  * //Fill the matrix ...
+  * 
+  * ordering(A, perm); // Call AMD
+  * \endcode
+  * 
+  * \note Some of these methods (like AMD or METIS), need the sparsity pattern 
+  * of the input matrix to be symmetric. When the matrix is structurally unsymmetric, 
+  * Eigen computes internally the pattern of \f$A^T*A\f$ before calling the method.
+  * If your matrix is already symmetric (at leat in structure), you can avoid that
+  * by calling the method with a SelfAdjointView type.
+  * 
+  * \code
+  *  // Call the ordering on the pattern of the lower triangular matrix A
+  * ordering(A.selfadjointView<Lower>(), perm);
+  * \endcode
+  */
+
+#include "src/OrderingMethods/Amd.h"
+#include "src/OrderingMethods/Ordering.h"
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_ORDERINGMETHODS_MODULE_H
diff --git a/include/eigen/Eigen/PaStiXSupport b/include/eigen/Eigen/PaStiXSupport
new file mode 100644
index 0000000000000000000000000000000000000000..234619accee0e875a418eda983f870b25255c17e
--- /dev/null
+++ b/include/eigen/Eigen/PaStiXSupport
@@ -0,0 +1,49 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_PASTIXSUPPORT_MODULE_H
+#define EIGEN_PASTIXSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+extern "C" {
+#include <pastix_nompi.h>
+#include <pastix.h>
+}
+
+#ifdef complex
+#undef complex
+#endif
+
+/** \ingroup Support_modules
+  * \defgroup PaStiXSupport_Module PaStiXSupport module
+  * 
+  * This module provides an interface to the <a href="http://pastix.gforge.inria.fr/">PaSTiX</a> library.
+  * PaSTiX is a general \b supernodal, \b parallel and \b opensource sparse solver.
+  * It provides the two following main factorization classes:
+  * - class PastixLLT : a supernodal, parallel LLt Cholesky factorization.
+  * - class PastixLDLT: a supernodal, parallel LDLt Cholesky factorization.
+  * - class PastixLU : a supernodal, parallel LU factorization (optimized for a symmetric pattern).
+  * 
+  * \code
+  * #include <Eigen/PaStiXSupport>
+  * \endcode
+  *
+  * In order to use this module, the PaSTiX headers must be accessible from the include paths, and your binary must be linked to the PaSTiX library and its dependencies.
+  * This wrapper resuires PaStiX version 5.x compiled without MPI support.
+  * The dependencies depend on how PaSTiX has been compiled.
+  * For a cmake based project, you can use our FindPaSTiX.cmake module to help you in this task.
+  *
+  */
+
+#include "src/PaStiXSupport/PaStiXSupport.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_PASTIXSUPPORT_MODULE_H
diff --git a/include/eigen/Eigen/PardisoSupport b/include/eigen/Eigen/PardisoSupport
new file mode 100644
index 0000000000000000000000000000000000000000..340edf51fe2d678294bef93f4cc413a95af0075d
--- /dev/null
+++ b/include/eigen/Eigen/PardisoSupport
@@ -0,0 +1,35 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_PARDISOSUPPORT_MODULE_H
+#define EIGEN_PARDISOSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+#include <mkl_pardiso.h>
+
+/** \ingroup Support_modules
+  * \defgroup PardisoSupport_Module PardisoSupport module
+  *
+  * This module brings support for the Intel(R) MKL PARDISO direct sparse solvers.
+  *
+  * \code
+  * #include <Eigen/PardisoSupport>
+  * \endcode
+  *
+  * In order to use this module, the MKL headers must be accessible from the include paths, and your binary must be linked to the MKL library and its dependencies.
+  * See this \ref TopicUsingIntelMKL "page" for more information on MKL-Eigen integration.
+  * 
+  */
+
+#include "src/PardisoSupport/PardisoSupport.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_PARDISOSUPPORT_MODULE_H
diff --git a/include/eigen/Eigen/QR b/include/eigen/Eigen/QR
new file mode 100644
index 0000000000000000000000000000000000000000..8465b62ceee1aadf915660451142fa2d800db550
--- /dev/null
+++ b/include/eigen/Eigen/QR
@@ -0,0 +1,50 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_QR_MODULE_H
+#define EIGEN_QR_MODULE_H
+
+#include "Core"
+
+#include "Cholesky"
+#include "Jacobi"
+#include "Householder"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup QR_Module QR module
+  *
+  *
+  *
+  * This module provides various QR decompositions
+  * This module also provides some MatrixBase methods, including:
+  *  - MatrixBase::householderQr()
+  *  - MatrixBase::colPivHouseholderQr()
+  *  - MatrixBase::fullPivHouseholderQr()
+  *
+  * \code
+  * #include <Eigen/QR>
+  * \endcode
+  */
+
+#include "src/QR/HouseholderQR.h"
+#include "src/QR/FullPivHouseholderQR.h"
+#include "src/QR/ColPivHouseholderQR.h"
+#include "src/QR/CompleteOrthogonalDecomposition.h"
+#ifdef EIGEN_USE_LAPACKE
+#ifdef EIGEN_USE_MKL
+#include "mkl_lapacke.h"
+#else
+#include "src/misc/lapacke.h"
+#endif
+#include "src/QR/HouseholderQR_LAPACKE.h"
+#include "src/QR/ColPivHouseholderQR_LAPACKE.h"
+#endif
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_QR_MODULE_H
diff --git a/include/eigen/Eigen/QtAlignedMalloc b/include/eigen/Eigen/QtAlignedMalloc
new file mode 100644
index 0000000000000000000000000000000000000000..6fe82374a5ebdb0dbc17fa6e0119b1a399f126e3
--- /dev/null
+++ b/include/eigen/Eigen/QtAlignedMalloc
@@ -0,0 +1,39 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_QTMALLOC_MODULE_H
+#define EIGEN_QTMALLOC_MODULE_H
+
+#include "Core"
+
+#if (!EIGEN_MALLOC_ALREADY_ALIGNED)
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+void *qMalloc(std::size_t size)
+{
+  return Eigen::internal::aligned_malloc(size);
+}
+
+void qFree(void *ptr)
+{
+  Eigen::internal::aligned_free(ptr);
+}
+
+void *qRealloc(void *ptr, std::size_t size)
+{
+  void* newPtr = Eigen::internal::aligned_malloc(size);
+  std::memcpy(newPtr, ptr, size);
+  Eigen::internal::aligned_free(ptr);
+  return newPtr;
+}
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif
+
+#endif // EIGEN_QTMALLOC_MODULE_H
diff --git a/include/eigen/Eigen/SPQRSupport b/include/eigen/Eigen/SPQRSupport
new file mode 100644
index 0000000000000000000000000000000000000000..f70390c17661f10d87eafd69784af67368247dae
--- /dev/null
+++ b/include/eigen/Eigen/SPQRSupport
@@ -0,0 +1,34 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SPQRSUPPORT_MODULE_H
+#define EIGEN_SPQRSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+#include "SuiteSparseQR.hpp"
+
+/** \ingroup Support_modules
+  * \defgroup SPQRSupport_Module SuiteSparseQR module
+  * 
+  * This module provides an interface to the SPQR library, which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
+  *
+  * \code
+  * #include <Eigen/SPQRSupport>
+  * \endcode
+  *
+  * In order to use this module, the SPQR headers must be accessible from the include paths, and your binary must be linked to the SPQR library and its dependencies (Cholmod, AMD, COLAMD,...).
+  * For a cmake based project, you can use our FindSPQR.cmake and FindCholmod.Cmake modules
+  *
+  */
+
+#include "src/CholmodSupport/CholmodSupport.h"
+#include "src/SPQRSupport/SuiteSparseQRSupport.h"
+
+#endif
diff --git a/include/eigen/Eigen/SVD b/include/eigen/Eigen/SVD
new file mode 100644
index 0000000000000000000000000000000000000000..34517949632099aea944db49f84c4eb8f630ac5c
--- /dev/null
+++ b/include/eigen/Eigen/SVD
@@ -0,0 +1,50 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SVD_MODULE_H
+#define EIGEN_SVD_MODULE_H
+
+#include "QR"
+#include "Householder"
+#include "Jacobi"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup SVD_Module SVD module
+  *
+  *
+  *
+  * This module provides SVD decomposition for matrices (both real and complex).
+  * Two decomposition algorithms are provided:
+  *  - JacobiSVD implementing two-sided Jacobi iterations is numerically very accurate, fast for small matrices, but very slow for larger ones.
+  *  - BDCSVD implementing a recursive divide & conquer strategy on top of an upper-bidiagonalization which remains fast for large problems.
+  * These decompositions are accessible via the respective classes and following MatrixBase methods:
+  *  - MatrixBase::jacobiSvd()
+  *  - MatrixBase::bdcSvd()
+  *
+  * \code
+  * #include <Eigen/SVD>
+  * \endcode
+  */
+
+#include "src/misc/RealSvd2x2.h"
+#include "src/SVD/UpperBidiagonalization.h"
+#include "src/SVD/SVDBase.h"
+#include "src/SVD/JacobiSVD.h"
+#include "src/SVD/BDCSVD.h"
+#if defined(EIGEN_USE_LAPACKE) && !defined(EIGEN_USE_LAPACKE_STRICT)
+#ifdef EIGEN_USE_MKL
+#include "mkl_lapacke.h"
+#else
+#include "src/misc/lapacke.h"
+#endif
+#include "src/SVD/JacobiSVD_LAPACKE.h"
+#endif
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_SVD_MODULE_H
diff --git a/include/eigen/Eigen/Sparse b/include/eigen/Eigen/Sparse
new file mode 100644
index 0000000000000000000000000000000000000000..a2ef7a66526812617c782f76dea260f04593ea58
--- /dev/null
+++ b/include/eigen/Eigen/Sparse
@@ -0,0 +1,34 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SPARSE_MODULE_H
+#define EIGEN_SPARSE_MODULE_H
+
+/** \defgroup Sparse_Module Sparse meta-module
+  *
+  * Meta-module including all related modules:
+  * - \ref SparseCore_Module
+  * - \ref OrderingMethods_Module
+  * - \ref SparseCholesky_Module
+  * - \ref SparseLU_Module
+  * - \ref SparseQR_Module
+  * - \ref IterativeLinearSolvers_Module
+  *
+    \code
+    #include <Eigen/Sparse>
+    \endcode
+  */
+
+#include "SparseCore"
+#include "OrderingMethods"
+#include "SparseCholesky"
+#include "SparseLU"
+#include "SparseQR"
+#include "IterativeLinearSolvers"
+
+#endif // EIGEN_SPARSE_MODULE_H
+
diff --git a/include/eigen/Eigen/SparseCholesky b/include/eigen/Eigen/SparseCholesky
new file mode 100644
index 0000000000000000000000000000000000000000..d2b1f1276da5192664ba0ba39bbb9a00c18dc225
--- /dev/null
+++ b/include/eigen/Eigen/SparseCholesky
@@ -0,0 +1,37 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2013 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SPARSECHOLESKY_MODULE_H
+#define EIGEN_SPARSECHOLESKY_MODULE_H
+
+#include "SparseCore"
+#include "OrderingMethods"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** 
+  * \defgroup SparseCholesky_Module SparseCholesky module
+  *
+  * This module currently provides two variants of the direct sparse Cholesky decomposition for selfadjoint (hermitian) matrices.
+  * Those decompositions are accessible via the following classes:
+  *  - SimplicialLLt,
+  *  - SimplicialLDLt
+  *
+  * Such problems can also be solved using the ConjugateGradient solver from the IterativeLinearSolvers module.
+  *
+  * \code
+  * #include <Eigen/SparseCholesky>
+  * \endcode
+  */
+
+#include "src/SparseCholesky/SimplicialCholesky.h"
+#include "src/SparseCholesky/SimplicialCholesky_impl.h"
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_SPARSECHOLESKY_MODULE_H
diff --git a/include/eigen/Eigen/SparseCore b/include/eigen/Eigen/SparseCore
new file mode 100644
index 0000000000000000000000000000000000000000..76966c4c4cb12da2ad59e0fdd7672b052baab6e3
--- /dev/null
+++ b/include/eigen/Eigen/SparseCore
@@ -0,0 +1,69 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SPARSECORE_MODULE_H
+#define EIGEN_SPARSECORE_MODULE_H
+
+#include "Core"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+#include <vector>
+#include <map>
+#include <cstdlib>
+#include <cstring>
+#include <algorithm>
+
+/** 
+  * \defgroup SparseCore_Module SparseCore module
+  *
+  * This module provides a sparse matrix representation, and basic associated matrix manipulations
+  * and operations.
+  *
+  * See the \ref TutorialSparse "Sparse tutorial"
+  *
+  * \code
+  * #include <Eigen/SparseCore>
+  * \endcode
+  *
+  * This module depends on: Core.
+  */
+
+#include "src/SparseCore/SparseUtil.h"
+#include "src/SparseCore/SparseMatrixBase.h"
+#include "src/SparseCore/SparseAssign.h"
+#include "src/SparseCore/CompressedStorage.h"
+#include "src/SparseCore/AmbiVector.h"
+#include "src/SparseCore/SparseCompressedBase.h"
+#include "src/SparseCore/SparseMatrix.h"
+#include "src/SparseCore/SparseMap.h"
+#include "src/SparseCore/MappedSparseMatrix.h"
+#include "src/SparseCore/SparseVector.h"
+#include "src/SparseCore/SparseRef.h"
+#include "src/SparseCore/SparseCwiseUnaryOp.h"
+#include "src/SparseCore/SparseCwiseBinaryOp.h"
+#include "src/SparseCore/SparseTranspose.h"
+#include "src/SparseCore/SparseBlock.h"
+#include "src/SparseCore/SparseDot.h"
+#include "src/SparseCore/SparseRedux.h"
+#include "src/SparseCore/SparseView.h"
+#include "src/SparseCore/SparseDiagonalProduct.h"
+#include "src/SparseCore/ConservativeSparseSparseProduct.h"
+#include "src/SparseCore/SparseSparseProductWithPruning.h"
+#include "src/SparseCore/SparseProduct.h"
+#include "src/SparseCore/SparseDenseProduct.h"
+#include "src/SparseCore/SparseSelfAdjointView.h"
+#include "src/SparseCore/SparseTriangularView.h"
+#include "src/SparseCore/TriangularSolver.h"
+#include "src/SparseCore/SparsePermutation.h"
+#include "src/SparseCore/SparseFuzzy.h"
+#include "src/SparseCore/SparseSolverBase.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_SPARSECORE_MODULE_H
+
diff --git a/include/eigen/Eigen/SparseLU b/include/eigen/Eigen/SparseLU
new file mode 100644
index 0000000000000000000000000000000000000000..047cf0dca94923dd820733d6a549c8db3ee4a1af
--- /dev/null
+++ b/include/eigen/Eigen/SparseLU
@@ -0,0 +1,48 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
+// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SPARSELU_MODULE_H
+#define EIGEN_SPARSELU_MODULE_H
+
+#include "SparseCore"
+
+/** 
+  * \defgroup SparseLU_Module SparseLU module
+  * This module defines a supernodal factorization of general sparse matrices.
+  * The code is fully optimized for supernode-panel updates with specialized kernels.
+  * Please, see the documentation of the SparseLU class for more details.
+  */
+
+// Ordering interface
+#include "OrderingMethods"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+#include "src/SparseLU/SparseLU_Structs.h"
+#include "src/SparseLU/SparseLU_SupernodalMatrix.h"
+#include "src/SparseLU/SparseLUImpl.h"
+#include "src/SparseCore/SparseColEtree.h"
+#include "src/SparseLU/SparseLU_Memory.h"
+#include "src/SparseLU/SparseLU_heap_relax_snode.h"
+#include "src/SparseLU/SparseLU_relax_snode.h"
+#include "src/SparseLU/SparseLU_pivotL.h"
+#include "src/SparseLU/SparseLU_panel_dfs.h"
+#include "src/SparseLU/SparseLU_kernel_bmod.h"
+#include "src/SparseLU/SparseLU_panel_bmod.h"
+#include "src/SparseLU/SparseLU_column_dfs.h"
+#include "src/SparseLU/SparseLU_column_bmod.h"
+#include "src/SparseLU/SparseLU_copy_to_ucol.h"
+#include "src/SparseLU/SparseLU_pruneL.h"
+#include "src/SparseLU/SparseLU_Utils.h"
+#include "src/SparseLU/SparseLU.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_SPARSELU_MODULE_H
diff --git a/include/eigen/Eigen/SparseQR b/include/eigen/Eigen/SparseQR
new file mode 100644
index 0000000000000000000000000000000000000000..f5fc5fa7feea7350788513081232d764ed32541b
--- /dev/null
+++ b/include/eigen/Eigen/SparseQR
@@ -0,0 +1,36 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SPARSEQR_MODULE_H
+#define EIGEN_SPARSEQR_MODULE_H
+
+#include "SparseCore"
+#include "OrderingMethods"
+#include "src/Core/util/DisableStupidWarnings.h"
+
+/** \defgroup SparseQR_Module SparseQR module
+  * \brief Provides QR decomposition for sparse matrices
+  * 
+  * This module provides a simplicial version of the left-looking Sparse QR decomposition. 
+  * The columns of the input matrix should be reordered to limit the fill-in during the 
+  * decomposition. Built-in methods (COLAMD, AMD) or external  methods (METIS) can be used to this end.
+  * See the \link OrderingMethods_Module OrderingMethods\endlink module for the list 
+  * of built-in and external ordering methods.
+  * 
+  * \code
+  * #include <Eigen/SparseQR>
+  * \endcode
+  * 
+  * 
+  */
+
+#include "src/SparseCore/SparseColEtree.h"
+#include "src/SparseQR/SparseQR.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif
diff --git a/include/eigen/Eigen/StdDeque b/include/eigen/Eigen/StdDeque
new file mode 100644
index 0000000000000000000000000000000000000000..bc68397be259fa9666c2a59f4bdb1b9dd8ab0ce6
--- /dev/null
+++ b/include/eigen/Eigen/StdDeque
@@ -0,0 +1,27 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2009 Hauke Heibel <hauke.heibel@googlemail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_STDDEQUE_MODULE_H
+#define EIGEN_STDDEQUE_MODULE_H
+
+#include "Core"
+#include <deque>
+
+#if EIGEN_COMP_MSVC && EIGEN_OS_WIN64 && (EIGEN_MAX_STATIC_ALIGN_BYTES<=16) /* MSVC auto aligns up to 16 bytes in 64 bit builds */
+
+#define EIGEN_DEFINE_STL_DEQUE_SPECIALIZATION(...)
+
+#else
+
+#include "src/StlSupport/StdDeque.h"
+
+#endif
+
+#endif // EIGEN_STDDEQUE_MODULE_H
diff --git a/include/eigen/Eigen/StdList b/include/eigen/Eigen/StdList
new file mode 100644
index 0000000000000000000000000000000000000000..4c6262c08cc26bcc70d4e21e83027b9533a7e36c
--- /dev/null
+++ b/include/eigen/Eigen/StdList
@@ -0,0 +1,26 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009 Hauke Heibel <hauke.heibel@googlemail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_STDLIST_MODULE_H
+#define EIGEN_STDLIST_MODULE_H
+
+#include "Core"
+#include <list>
+
+#if EIGEN_COMP_MSVC && EIGEN_OS_WIN64 && (EIGEN_MAX_STATIC_ALIGN_BYTES<=16) /* MSVC auto aligns up to 16 bytes in 64 bit builds */
+
+#define EIGEN_DEFINE_STL_LIST_SPECIALIZATION(...)
+
+#else
+
+#include "src/StlSupport/StdList.h"
+
+#endif
+
+#endif // EIGEN_STDLIST_MODULE_H
diff --git a/include/eigen/Eigen/StdVector b/include/eigen/Eigen/StdVector
new file mode 100644
index 0000000000000000000000000000000000000000..0c4697ad5bed5868d793ba7d94bb9dc3fb9bed4c
--- /dev/null
+++ b/include/eigen/Eigen/StdVector
@@ -0,0 +1,27 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2009 Hauke Heibel <hauke.heibel@googlemail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_STDVECTOR_MODULE_H
+#define EIGEN_STDVECTOR_MODULE_H
+
+#include "Core"
+#include <vector>
+
+#if EIGEN_COMP_MSVC && EIGEN_OS_WIN64 && (EIGEN_MAX_STATIC_ALIGN_BYTES<=16) /* MSVC auto aligns up to 16 bytes in 64 bit builds */
+
+#define EIGEN_DEFINE_STL_VECTOR_SPECIALIZATION(...)
+
+#else
+
+#include "src/StlSupport/StdVector.h"
+
+#endif
+
+#endif // EIGEN_STDVECTOR_MODULE_H
diff --git a/include/eigen/Eigen/SuperLUSupport b/include/eigen/Eigen/SuperLUSupport
new file mode 100644
index 0000000000000000000000000000000000000000..59312a82db0703389e21ae6e1b703b261802eadf
--- /dev/null
+++ b/include/eigen/Eigen/SuperLUSupport
@@ -0,0 +1,64 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_SUPERLUSUPPORT_MODULE_H
+#define EIGEN_SUPERLUSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+#ifdef EMPTY
+#define EIGEN_EMPTY_WAS_ALREADY_DEFINED
+#endif
+
+typedef int int_t;
+#include <slu_Cnames.h>
+#include <supermatrix.h>
+#include <slu_util.h>
+
+// slu_util.h defines a preprocessor token named EMPTY which is really polluting,
+// so we remove it in favor of a SUPERLU_EMPTY token.
+// If EMPTY was already defined then we don't undef it.
+
+#if defined(EIGEN_EMPTY_WAS_ALREADY_DEFINED)
+# undef EIGEN_EMPTY_WAS_ALREADY_DEFINED
+#elif defined(EMPTY)
+# undef EMPTY
+#endif
+
+#define SUPERLU_EMPTY (-1)
+
+namespace Eigen { struct SluMatrix; }
+
+/** \ingroup Support_modules
+  * \defgroup SuperLUSupport_Module SuperLUSupport module
+  *
+  * This module provides an interface to the <a href="http://crd-legacy.lbl.gov/~xiaoye/SuperLU/">SuperLU</a> library.
+  * It provides the following factorization class:
+  * - class SuperLU: a supernodal sequential LU factorization.
+  * - class SuperILU: a supernodal sequential incomplete LU factorization (to be used as a preconditioner for iterative methods).
+  *
+  * \warning This wrapper requires at least versions 4.0 of SuperLU. The 3.x versions are not supported.
+  *
+  * \warning When including this module, you have to use SUPERLU_EMPTY instead of EMPTY which is no longer defined because it is too polluting.
+  *
+  * \code
+  * #include <Eigen/SuperLUSupport>
+  * \endcode
+  *
+  * In order to use this module, the superlu headers must be accessible from the include paths, and your binary must be linked to the superlu library and its dependencies.
+  * The dependencies depend on how superlu has been compiled.
+  * For a cmake based project, you can use our FindSuperLU.cmake module to help you in this task.
+  *
+  */
+
+#include "src/SuperLUSupport/SuperLUSupport.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_SUPERLUSUPPORT_MODULE_H
diff --git a/include/eigen/Eigen/UmfPackSupport b/include/eigen/Eigen/UmfPackSupport
new file mode 100644
index 0000000000000000000000000000000000000000..00eec80875fcb209de0f6f746d0f4d299cd2ce8e
--- /dev/null
+++ b/include/eigen/Eigen/UmfPackSupport
@@ -0,0 +1,40 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_UMFPACKSUPPORT_MODULE_H
+#define EIGEN_UMFPACKSUPPORT_MODULE_H
+
+#include "SparseCore"
+
+#include "src/Core/util/DisableStupidWarnings.h"
+
+extern "C" {
+#include <umfpack.h>
+}
+
+/** \ingroup Support_modules
+  * \defgroup UmfPackSupport_Module UmfPackSupport module
+  *
+  * This module provides an interface to the UmfPack library which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
+  * It provides the following factorization class:
+  * - class UmfPackLU: a multifrontal sequential LU factorization.
+  *
+  * \code
+  * #include <Eigen/UmfPackSupport>
+  * \endcode
+  *
+  * In order to use this module, the umfpack headers must be accessible from the include paths, and your binary must be linked to the umfpack library and its dependencies.
+  * The dependencies depend on how umfpack has been compiled.
+  * For a cmake based project, you can use our FindUmfPack.cmake module to help you in this task.
+  *
+  */
+
+#include "src/UmfPackSupport/UmfPackSupport.h"
+
+#include "src/Core/util/ReenableStupidWarnings.h"
+
+#endif // EIGEN_UMFPACKSUPPORT_MODULE_H
diff --git a/include/eigen/ci/CTest2JUnit.xsl b/include/eigen/ci/CTest2JUnit.xsl
new file mode 100644
index 0000000000000000000000000000000000000000..8ba21f4e60b5485ae0b81429bac76baaae2e9dba
--- /dev/null
+++ b/include/eigen/ci/CTest2JUnit.xsl
@@ -0,0 +1,120 @@
+<xsl:stylesheet xmlns:xsl="http://www.w3.org/1999/XSL/Transform" version="1.0">
+<xsl:output method="xml" indent="yes"/>
+    <xsl:template match="/Site">
+	<xsl:variable name="Name"><xsl:value-of select="@Name"/></xsl:variable>
+	<xsl:variable name="Hostname"><xsl:value-of select="@Hostname"/></xsl:variable>
+	<xsl:variable name="TestCount"><xsl:value-of select="count(//TestList/Test)"/> </xsl:variable>
+	<xsl:variable name="ErrorCount"><xsl:value-of select="count(//TestList/Test[@Status='error'])"/> </xsl:variable>
+	<xsl:variable name="FailureCount"><xsl:value-of select="count(//Testing/Test[@Status='failed'])"/> </xsl:variable>
+	<testsuite name="{$Name}" hostname="{$Hostname}" errors="0" failures="{$FailureCount}" tests="{$TestCount}">
+	    <xsl:variable name="BuildName"><xsl:value-of select="@BuildName"/></xsl:variable>
+	    <xsl:variable name="BuildStamp"><xsl:value-of select="@BuildStamp"/></xsl:variable>
+	    <xsl:variable name="Generator"><xsl:value-of select="@Generator"/></xsl:variable>
+	    <xsl:variable name="CompilerName"><xsl:value-of select="@CompilerName"/></xsl:variable>
+	    <xsl:variable name="OSName"><xsl:value-of select="@OSName"/></xsl:variable>
+	    <xsl:variable name="OSRelease"><xsl:value-of select="@OSRelease"/></xsl:variable>
+	    <xsl:variable name="OSVersion"><xsl:value-of select="@OSVersion"/></xsl:variable>
+	    <xsl:variable name="OSPlatform"><xsl:value-of select="@OSPlatform"/></xsl:variable>
+	    <xsl:variable name="Is64Bits"><xsl:value-of select="@Is64Bits"/></xsl:variable>
+	    <xsl:variable name="VendorString"><xsl:value-of select="@VendorString"/></xsl:variable>
+	    <xsl:variable name="VendorID"><xsl:value-of select="@VendorID"/></xsl:variable>
+	    <xsl:variable name="FamilyID"><xsl:value-of select="@FamilyID"/></xsl:variable>
+	    <xsl:variable name="ModelID"><xsl:value-of select="@ModelID"/></xsl:variable>
+	    <xsl:variable name="ProcessorCacheSize"><xsl:value-of select="@ProcessorCacheSize"/></xsl:variable>
+	    <xsl:variable name="NumberOfLogicalCPU"><xsl:value-of select="@NumberOfLogicalCPU"/></xsl:variable>
+	    <xsl:variable name="NumberOfPhysicalCPU"><xsl:value-of select="@NumberOfPhysicalCPU"/></xsl:variable>
+	    <xsl:variable name="TotalVirtualMemory"><xsl:value-of select="@TotalVirtualMemory"/></xsl:variable>
+	    <xsl:variable name="TotalPhysicalMemory"><xsl:value-of select="@TotalPhysicalMemory"/></xsl:variable>
+	    <xsl:variable name="LogicalProcessorsPerPhysical"><xsl:value-of select="@LogicalProcessorsPerPhysical"/></xsl:variable>
+	    <xsl:variable name="ProcessorClockFrequency"><xsl:value-of select="@ProcessorClockFrequency"/></xsl:variable>
+	    <properties>
+		<property name="BuildName" value="{$BuildName}" />
+		<property name="BuildStamp" value="{$BuildStamp}" />
+		<property name="Name" value="{$Name}" />
+		<property name="Generator" value="{$Generator}" />
+		<property name="CompilerName" value="{$CompilerName}" />
+		<property name="OSName" value="{$OSName}" />
+		<property name="Hostname" value="{$Hostname}" />
+		<property name="OSRelease" value="{$OSRelease}" />
+		<property name="OSVersion" value="{$OSVersion}" />
+		<property name="OSPlatform" value="{$OSPlatform}" />
+		<property name="Is64Bits" value="{$Is64Bits}" />
+		<property name="VendorString" value="{$VendorString}" />
+		<property name="VendorID" value="{$VendorID}" />
+		<property name="FamilyID" value="{$FamilyID}" />
+		<property name="ModelID" value="{$ModelID}" />
+		<property name="ProcessorCacheSize" value="{$ProcessorCacheSize}" />
+		<property name="NumberOfLogicalCPU" value="{$NumberOfLogicalCPU}" />
+		<property name="NumberOfPhysicalCPU" value="{$NumberOfPhysicalCPU}" />
+		<property name="TotalVirtualMemory" value="{$TotalVirtualMemory}" />
+		<property name="TotalPhysicalMemory" value="{$TotalPhysicalMemory}" />
+		<property name="LogicalProcessorsPerPhysical" value="{$LogicalProcessorsPerPhysical}" />
+		<property name="ProcessorClockFrequency" value="{$ProcessorClockFrequency}" />
+	    </properties>
+	    <xsl:apply-templates select="Testing/Test"/>
+
+	    <system-out>
+		BuildName: <xsl:value-of select="$BuildName" />
+		BuildStamp: <xsl:value-of select="$BuildStamp" />
+		Name: <xsl:value-of select="$Name" />
+		Generator: <xsl:value-of select="$Generator" />
+		CompilerName: <xsl:value-of select="$CompilerName" />
+		OSName: <xsl:value-of select="$OSName" />
+		Hostname: <xsl:value-of select="$Hostname" />
+		OSRelease: <xsl:value-of select="$OSRelease" />
+		OSVersion: <xsl:value-of select="$OSVersion" />
+		OSPlatform: <xsl:value-of select="$OSPlatform" />
+		Is64Bits: <xsl:value-of select="$Is64Bits" />
+		VendorString: <xsl:value-of select="$VendorString" />
+		VendorID: <xsl:value-of select="$VendorID" />
+		FamilyID: <xsl:value-of select="$FamilyID" />
+		ModelID: <xsl:value-of select="$ModelID" />
+		ProcessorCacheSize: <xsl:value-of select="$ProcessorCacheSize" />
+		NumberOfLogicalCPU: <xsl:value-of select="$NumberOfLogicalCPU" />
+		NumberOfPhysicalCPU: <xsl:value-of select="$NumberOfPhysicalCPU" />
+		TotalVirtualMemory: <xsl:value-of select="$TotalVirtualMemory" />
+		TotalPhysicalMemory: <xsl:value-of select="$TotalPhysicalMemory" />
+		LogicalProcessorsPerPhysical: <xsl:value-of select="$LogicalProcessorsPerPhysical" />
+		ProcessorClockFrequency: <xsl:value-of select="$ProcessorClockFrequency" />
+	    </system-out>
+	</testsuite>
+    </xsl:template>
+
+    <xsl:template match="Testing/Test">
+	<xsl:variable name="testcasename"><xsl:value-of select= "Name"/></xsl:variable>
+	<xsl:variable name="testclassname"><xsl:value-of select= " concat('this', substring(Path,2))"/></xsl:variable>
+	<xsl:variable name="exectime">
+	    <xsl:for-each select="Results/NamedMeasurement">
+		<xsl:if test="@name = 'Execution Time'">
+		    <xsl:value-of select="."/>
+		</xsl:if>
+	    </xsl:for-each>
+	</xsl:variable>
+
+	<testcase name="{$testcasename}" classname="{$testclassname}" time="{$exectime}">
+	    <xsl:if test="@Status = 'passed'">
+	    </xsl:if>
+	    <xsl:if test="@Status = 'failed'">
+		<xsl:variable name="failtype">
+		    <xsl:for-each select="Results/NamedMeasurement">
+			<xsl:if test="@name = 'Exit Code'">
+			    <xsl:value-of select="."/>
+			</xsl:if>
+		    </xsl:for-each>
+		</xsl:variable>
+		<xsl:variable name="failcode">
+		    <xsl:for-each select="Results/NamedMeasurement">
+			<xsl:if test="@name = 'Exit Value'">
+			    <xsl:value-of select="."/>
+			</xsl:if>
+		    </xsl:for-each>
+		</xsl:variable>
+		<failure message="{$failtype} ({$failcode})"><xsl:value-of select="Results/Measurement/Value/text()" /></failure>
+	    </xsl:if>
+	    <xsl:if test="@Status = 'notrun'">
+		<skipped><xsl:value-of select="Results/Measurement/Value/text()" /></skipped>
+	    </xsl:if>
+	</testcase>
+    </xsl:template>
+
+</xsl:stylesheet>
diff --git a/include/eigen/ci/README.md b/include/eigen/ci/README.md
new file mode 100644
index 0000000000000000000000000000000000000000..bb16f886ac455e344281d8c00aa401312c131dca
--- /dev/null
+++ b/include/eigen/ci/README.md
@@ -0,0 +1,12 @@
+## Eigen CI infrastructure
+
+Eigen's CI infrastructure uses three stages:
+  1. A `checkformat` stage to verify MRs satisfy proper formatting style, as
+     defined by `clang-format`.
+  2. A `build` stage to build the unit-tests.
+  3. A `test` stage to run the unit-tests.
+
+For merge requests, only a small subset of tests are built/run, and only on a
+small subset of platforms.  This is to reduce our overall testing infrastructure
+resource usage.  In addition, we have nightly jobs that build and run the full
+suite of tests on most officially supported platforms.
diff --git a/include/eigen/ci/build.linux.gitlab-ci.yml b/include/eigen/ci/build.linux.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..95ac8f5acd09f8591038ef0fcc1f652ccf39439c
--- /dev/null
+++ b/include/eigen/ci/build.linux.gitlab-ci.yml
@@ -0,0 +1,334 @@
+# Base configuration for linux cross-compilation.
+.build:linux:cross:
+  extends: .common:linux:cross
+  stage: build
+  variables:
+    EIGEN_CI_BUILD_TARGET: buildtests
+  script:
+    - . ci/scripts/build.linux.script.sh
+  tags:
+    - saas-linux-2xlarge-amd64
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "push" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_MERGE_REQUEST_LABELS =~ "/all-tests/"
+  cache:
+    key: "$CI_JOB_NAME_SLUG-$CI_COMMIT_REF_SLUG-BUILD"
+    paths:
+      - ${EIGEN_CI_BUILDDIR}/
+
+######## x86-64 ################################################################
+
+.build:linux:cross:x86-64:
+  extends: .build:linux:cross
+  variables:
+    EIGEN_CI_TARGET_ARCH: x86_64
+    EIGEN_CI_CROSS_TARGET_TRIPLE: x86_64-linux-gnu
+
+# GCC-6 (minimum on Ubuntu 18.04)
+build:linux:cross:x86-64:gcc-6:default:
+  extends: .build:linux:cross:x86-64
+  image: ubuntu:18.04
+  variables:
+    EIGEN_CI_C_COMPILER: gcc-6
+    EIGEN_CI_CXX_COMPILER: g++-6
+    EIGEN_CI_CROSS_INSTALL: g++-6-x86-64-linux-gnu
+    EIGEN_CI_CROSS_C_COMPILER: x86_64-linux-gnu-gcc-6
+    EIGEN_CI_CROSS_CXX_COMPILER: x86_64-linux-gnu-g++-6
+
+# GCC-10 (stable recent version)
+build:linux:cross:x86-64:gcc-10:default:
+  extends: .build:linux:cross:x86-64
+  variables:
+    EIGEN_CI_C_COMPILER: gcc-10
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_CROSS_INSTALL: g++-10-x86-64-linux-gnu
+    EIGEN_CI_CROSS_C_COMPILER: x86_64-linux-gnu-gcc-10
+    EIGEN_CI_CROSS_CXX_COMPILER: x86_64-linux-gnu-g++-10
+
+build:linux:cross:x86-64:gcc-10:cxx03:
+  extends: build:linux:cross:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_CXX11=off"
+
+build:linux:cross:x86-64:gcc-10:avx:
+  extends: build:linux:cross:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX=on"
+
+build:linux:cross:x86-64:gcc-10:avx2:
+  extends: build:linux:cross:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX2=on"
+
+build:linux:cross:x86-64:gcc-10:avx512dq:
+  extends: build:linux:cross:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX512DQ=on"
+
+# Clang-6 (minimum on Ubuntu 20.04)
+build:linux:cross:x86-64:clang-6:default:
+  extends: .build:linux:cross:x86-64
+  image: ubuntu:20.04
+  variables:
+    EIGEN_CI_INSTALL: g++-8 clang-6.0 lld-6.0
+    EIGEN_CI_C_COMPILER: clang-6.0
+    EIGEN_CI_CXX_COMPILER: clang++-6.0
+    EIGEN_CI_CROSS_INSTALL: g++-8-x86-64-linux-gnu clang-6.0 lld-6.0
+    EIGEN_CI_ADDITIONAL_ARGS: -DCMAKE_EXE_LINKER_FLAGS=-fuse-ld=lld-6.0
+
+# Clang-12 (stable recent version)
+build:linux:cross:x86-64:clang-12:default:
+  extends: .build:linux:cross:x86-64
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+    EIGEN_CI_C_COMPILER: clang-12
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_CROSS_INSTALL: g++-10-x86-64-linux-gnu clang-12
+
+build:linux:cross:x86-64:clang-12:avx:
+  extends: build:linux:cross:x86-64:clang-12:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX=on"
+
+build:linux:cross:x86-64:clang-12:avx2:
+  extends: build:linux:cross:x86-64:clang-12:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX2=on"
+
+build:linux:cross:x86-64:clang-12:avx512dq:
+  extends: build:linux:cross:x86-64:clang-12:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX512DQ=on"
+
+build:linux:docs:
+  extends: .build:linux:cross
+  variables:
+    EIGEN_CI_TARGET_ARCH: any
+    EIGEN_CI_BUILD_TARGET: doc
+    EIGEN_CI_INSTALL: ca-certificates clang flex python3 bison graphviz
+    EIGEN_CI_C_COMPILER: clang
+    EIGEN_CI_CXX_COMPILER: clang++
+    EIGEN_CI_BEFORE_SCRIPT: ". ci/scripts/build_and_install_doxygen.sh Release_1_13_2"
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "push" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_MERGE_REQUEST_LABELS =~ "/all-tests/"
+
+# # Sanitizers (Disabled because ASAN hangs and MSAN requires instrumented libc++)
+# build:linux:cross:x86-64:clang-12:default:asan:
+#   extends: build:linux:cross:x86-64:clang-12:default
+#   variables:
+#     EIGEN_CI_ADDITIONAL_ARGS:
+#       -DEIGEN_TEST_CUSTOM_CXX_FLAGS=-fsanitize=address,undefined
+#       -DEIGEN_TEST_CUSTOM_LINKER_FLAGS=-fsanitize=address,undefined
+
+# build:linux:cross:x86-64:clang-12:default:msan:
+#   extends: build:linux:cross:x86-64:clang-12:default
+#   variables:
+#     EIGEN_CI_ADDITIONAL_ARGS:
+#       -DEIGEN_TEST_CUSTOM_CXX_FLAGS=-fsanitize=memory
+#       -DEIGEN_TEST_CUSTOM_LINKER_FLAGS=-fsanitize=memory
+
+######## CUDA ##################################################################
+
+.build:linux:cuda:
+  extends: .build:linux:cross:x86-64
+  variables:
+    # Additional flags passed to the cuda compiler.
+    EIGEN_CI_CUDA_CXX_FLAGS: ""
+    # Compute architectures present in the GitLab CI runners.
+    EIGEN_CI_CUDA_COMPUTE_ARCH: "50;75"
+    EIGEN_CI_BUILD_TARGET: buildtests_gpu
+    EIGEN_CI_TEST_CUDA_CLANG: "off"
+    EIGEN_CI_ADDITIONAL_ARGS:
+      -DEIGEN_TEST_CUDA=on
+      -DEIGEN_CUDA_CXX_FLAGS=${EIGEN_CI_CUDA_CXX_FLAGS}
+      -DEIGEN_CUDA_COMPUTE_ARCH=${EIGEN_CI_CUDA_COMPUTE_ARCH}
+      -DEIGEN_TEST_CUDA_CLANG=${EIGEN_CI_TEST_CUDA_CLANG}
+  tags:
+    # Build on regular linux to limit GPU cost.
+    - saas-linux-2xlarge-amd64
+
+# NVidia no longer provides docker images < CUDA 11.0.3.
+# # GCC-7, CUDA-9.2
+# build:linux:cuda-9.2:gcc-7:
+#   extends: .build:linux:cuda
+#   image: nvidia/cuda:9.2-devel-ubuntu18.04
+#   variables:
+#     # cuda 9.2 doesn't support sm_75, so lower to 70.
+#     EIGEN_CI_CUDA_COMPUTE_ARCH: "50;70"
+#     EIGEN_CI_C_COMPILER: gcc-7
+#     EIGEN_CI_CXX_COMPILER: g++-7
+
+# # Clang-10, CUDA-9.2
+# build:linux:cuda-9.2:clang-10:
+#   extends: build:linux:cuda-9.2:gcc-7
+#   variables:
+#     EIGEN_CI_C_COMPILER: clang-10
+#     EIGEN_CI_CXX_COMPILER: clang++-10
+#     EIGEN_CI_TEST_CUDA_CLANG: "on"
+
+# # GCC-8, CUDA-10.2
+# build:linux:cuda-10.2:gcc-8:
+#   extends: .build:linux:cuda
+#   image: nvidia/cuda:10.2-devel-ubuntu18.04
+#   variables:
+#     EIGEN_CI_C_COMPILER: gcc-8
+#     EIGEN_CI_CXX_COMPILER: g++-8
+
+# # Clang-10, CUDA-10.2
+# build:linux:cuda-10.2:clang-10:
+#   extends: build:linux:cuda-10.2:gcc-8
+#   variables:
+#     EIGEN_CI_C_COMPILER: clang-10
+#     EIGEN_CI_CXX_COMPILER: clang++-10
+#     EIGEN_CI_TEST_CUDA_CLANG: "on"
+
+# GCC-10, CUDA-11.4
+build:linux:cuda-11.4:gcc-10:
+  extends: .build:linux:cuda
+  image: nvidia/cuda:11.4.3-devel-ubuntu20.04
+  variables:
+    EIGEN_CI_C_COMPILER: gcc-10
+    EIGEN_CI_CXX_COMPILER: g++-10
+
+# Clang-12, CUDA-11.4
+build:linux:cuda-11.4:clang-12:
+  extends: build:linux:cuda-11.4:gcc-10
+  variables:
+    EIGEN_CI_C_COMPILER: clang-12
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_TEST_CUDA_CLANG: "on"
+
+# GCC-10, CUDA-12.2
+build:linux:cuda-12.2:gcc-10:
+  extends: .build:linux:cuda
+  image: nvidia/cuda:12.2.0-devel-ubuntu20.04
+  variables:
+    EIGEN_CI_C_COMPILER: gcc-10
+    EIGEN_CI_CXX_COMPILER: g++-10
+
+# Clang-12, CUDA-12.2
+build:linux:cuda-12.2:clang-12:
+  extends: build:linux:cuda-12.2:gcc-10
+  variables:
+    EIGEN_CI_C_COMPILER: clang-12
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_TEST_CUDA_CLANG: "on"
+
+# ######## HIP ###################################################################
+# Note: these are currently build-only, until we get an AMD-supported runner.
+
+# ROCm HIP
+build:linux:rocm-latest:gcc-10:
+  extends: .build:linux:cross
+  image: rocm/dev-ubuntu-24.04:latest
+  variables:
+    EIGEN_CI_C_COMPILER: gcc-10
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_BUILD_TARGET: buildtests_gpu
+    EIGEN_CI_ADDITIONAL_ARGS: -DEIGEN_TEST_HIP=on
+
+######## Arm ###################################################################
+
+.build:linux:cross:arm:
+  extends: .build:linux:cross
+  variables:
+    EIGEN_CI_TARGET_ARCH: arm
+    EIGEN_CI_CROSS_TARGET_TRIPLE: arm-linux-gnueabihf
+    EIGEN_CI_ADDITIONAL_ARGS: >
+      -DEIGEN_TEST_CUSTOM_CXX_FLAGS=-march=armv7-a;-mfpu=neon-vfpv4
+      -DCMAKE_SYSTEM_NAME=Linux
+      -DCMAKE_CROSSCOMPILING_EMULATOR=qemu-arm-static;-L;/usr/arm-linux-gnueabihf
+
+build:linux:cross:arm:gcc-10:default:
+  extends: .build:linux:cross:arm
+  variables:
+    EIGEN_CI_CROSS_INSTALL: g++-10-arm-linux-gnueabihf qemu-user-static
+    EIGEN_CI_CROSS_C_COMPILER: arm-linux-gnueabihf-gcc-10
+    EIGEN_CI_CROSS_CXX_COMPILER: arm-linux-gnueabihf-g++-10
+
+build:linux:cross:arm:clang-12:default:
+  extends: .build:linux:cross:arm
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+    EIGEN_CI_C_COMPILER: clang-12
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_CROSS_INSTALL: g++-10-arm-linux-gnueabihf clang-12 qemu-user-static
+
+######## aarch64 ###############################################################
+
+.build:linux:cross:aarch64:
+  extends: .build:linux:cross
+  variables:
+    EIGEN_CI_TARGET_ARCH: aarch64
+    EIGEN_CI_CROSS_TARGET_TRIPLE: aarch64-linux-gnu
+    EIGEN_CI_ADDITIONAL_ARGS: -DEIGEN_TEST_CUSTOM_CXX_FLAGS=-march=armv8.2-a+fp16
+  tags:
+    - saas-linux-large-arm64
+
+build:linux:cross:aarch64:gcc-10:default:
+  extends: .build:linux:cross:aarch64
+  variables:
+    EIGEN_CI_C_COMPILER: gcc-10
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_CROSS_INSTALL: g++-10-aarch64-linux-gnu
+    EIGEN_CI_CROSS_C_COMPILER: aarch64-linux-gnu-gcc-10
+    EIGEN_CI_CROSS_CXX_COMPILER: aarch64-linux-gnu-g++-10
+
+build:linux:cross:aarch64:clang-12:default:
+  extends: .build:linux:cross:aarch64
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+    EIGEN_CI_C_COMPILER: clang-12
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_CROSS_INSTALL: g++-10-aarch64-linux-gnu clang-12
+
+######## ppc64le ###############################################################
+
+.build:linux:cross:ppc64le:
+  extends: .build:linux:cross
+  image: ubuntu:24.04
+  variables:
+    EIGEN_CI_TARGET_ARCH: ppc64le
+    EIGEN_CI_CROSS_TARGET_TRIPLE: powerpc64le-linux-gnu
+    EIGEN_CI_ADDITIONAL_ARGS: >-
+      -DCMAKE_SYSTEM_NAME=Linux
+      -DCMAKE_CROSSCOMPILING_EMULATOR=qemu-ppc64le-static;-L;/usr/powerpc64le-linux-gnu
+
+build:linux:cross:ppc64le:gcc-14:default:
+  extends: .build:linux:cross:ppc64le
+  variables:
+    EIGEN_CI_CROSS_INSTALL: g++-14-powerpc64le-linux-gnu qemu-user-static
+    EIGEN_CI_CROSS_C_COMPILER: powerpc64le-linux-gnu-gcc-14
+    EIGEN_CI_CROSS_CXX_COMPILER: powerpc64le-linux-gnu-g++-14
+
+build:linux:cross:ppc64le:clang-16:default:
+  extends: .build:linux:cross:ppc64le
+  variables:
+    EIGEN_CI_C_COMPILER: clang-16
+    EIGEN_CI_CXX_COMPILER: clang++-16
+    EIGEN_CI_CROSS_INSTALL: g++-14-powerpc64le-linux-gnu clang-16 qemu-user-static
+
+######## MR Smoke Tests ########################################################
+
+build:linux:cross:x86-64:gcc-10:default:smoketest:
+  extends: build:linux:cross:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_BUILD_TARGET: buildsmoketests
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event"
+  tags:
+    - saas-linux-small-amd64
+
+build:linux:cross:x86-64:clang-12:default:smoketest:
+  extends: build:linux:cross:x86-64:clang-12:default
+  variables:
+    EIGEN_CI_BUILD_TARGET: buildsmoketests
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event"
+  tags:
+    - saas-linux-small-amd64
diff --git a/include/eigen/ci/build.windows.gitlab-ci.yml b/include/eigen/ci/build.windows.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..2eafefb50207bd3e81e70821a785452bb5578302
--- /dev/null
+++ b/include/eigen/ci/build.windows.gitlab-ci.yml
@@ -0,0 +1,116 @@
+# Base configuration for windows builds.
+.build:windows:
+  extends: .common:windows
+  stage: build
+  variables:
+    EIGEN_CI_BUILD_TARGET: buildtests
+    # Reduce overall build size and compile time.
+    # Note: /d2ReducedOptimizeHugeFunctions is only available in VS 2019.
+    EIGEN_CI_TEST_CUSTOM_CXX_FLAGS: "/d2ReducedOptimizeHugeFunctions;/DEIGEN_STRONG_INLINE=inline;/Os"
+  script:
+     - ./ci/scripts/build.windows.script.ps1
+  tags:
+    - eigen-runner
+    - windows
+    - x86-64
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "push" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_MERGE_REQUEST_LABELS =~ "/all-tests/"
+
+  cache:
+    key: "$CI_JOB_NAME-$CI_COMMIT_REF_SLUG-BUILD"
+    paths:
+      - ${EIGEN_CI_BUILDDIR}/
+
+######### MSVC #################################################################
+
+# MSVC 14.16 (VS 2017)
+build:windows:x86-64:msvc-14.16:default:
+  extends: .build:windows
+  variables:
+    EIGEN_CI_MSVC_VER: "14.16"
+    # Override to remove unsupported /d2ReducedOptimizeHugeFunctions.
+    EIGEN_CI_TEST_CUSTOM_CXX_FLAGS: "/DEIGEN_STRONG_INLINE=inline;/Os"
+
+# MSVC 14.29 (VS 2019)
+build:windows:x86-64:msvc-14.29:default:
+  extends: .build:windows
+  variables:
+    EIGEN_CI_MSVC_VER: "14.29"
+
+build:windows:x86-64:msvc-14.29:cxx03:
+  extends: build:windows:x86-64:msvc-14.29:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_CXX11=off"
+
+build:windows:x86-64:msvc-14.29:avx2:
+  extends: build:windows:x86-64:msvc-14.29:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX2=on"
+
+build:windows:x86-64:msvc-14.29:avx512dq:
+  extends: build:windows:x86-64:msvc-14.29:default
+  variables:
+    EIGEN_CI_ADDITIONAL_ARGS: "-DEIGEN_TEST_AVX512DQ=on"
+
+######### MSVC + CUDA ##########################################################
+.build:windows:cuda:
+  extends: .build:windows
+  variables:
+    # Compute architectures present in the GitLab CI runners.
+    EIGEN_CI_CUDA_COMPUTE_ARCH: "50;75"
+    EIGEN_CI_BUILD_TARGET: buildtests_gpu
+    EIGEN_CI_ADDITIONAL_ARGS:
+      -DEIGEN_TEST_CUDA=on
+      -DEIGEN_CUDA_COMPUTE_ARCH=${EIGEN_CI_CUDA_COMPUTE_ARCH}
+  tags:
+    - eigen-runner
+    - windows
+    - x86-64
+    - cuda
+
+# The CUDA 9.2 compiler crashes with an internal error.
+# # MSVC 14.16 + CUDA 9.2
+# build:windows:x86-64:cuda-9.2:msvc-14.16:
+#   extends: .build:windows:cuda
+#   variables:
+#     # CUDA 9.2 doesn't support sm_75.
+#     EIGEN_CI_CUDA_COMPUTE_ARCH: "50;70"
+#     # CUDA 9.2 only supports up to VS 2017.
+#     EIGEN_CI_MSVC_VER: "14.16"
+#     EIGEN_CI_TEST_CUSTOM_CXX_FLAGS: "/DEIGEN_STRONG_INLINE=inline;/Os"
+#     EIGEN_CI_BEFORE_SCRIPT: $$env:CUDA_PATH=$$env:CUDA_PATH_V9_2
+
+# MSVC 14.29 + CUDA 10.2
+build:windows:x86-64:cuda-10.2:msvc-14.29:
+  extends: .build:windows:cuda
+  variables:
+    EIGEN_CI_MSVC_VER: "14.29"
+    EIGEN_CI_BEFORE_SCRIPT: $$env:CUDA_PATH=$$env:CUDA_PATH_V10_2
+
+# MSVC 14.29 + CUDA 11.4
+build:windows:x86-64:cuda-11.4:msvc-14.29:
+  extends: .build:windows:cuda
+  variables:
+    EIGEN_CI_MSVC_VER: "14.29"
+    EIGEN_CI_BEFORE_SCRIPT: $$env:CUDA_PATH=$$env:CUDA_PATH_V11_4
+
+######## MR Smoke Tests ########################################################
+
+# MSVC 14.29 64-bit (VS 2019)
+build:windows:x86-64:msvc-14.29:avx512dq:smoketest:
+  extends: build:windows:x86-64:msvc-14.29:avx512dq
+  variables:
+    EIGEN_CI_BUILD_TARGET: buildsmoketests
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event"
+
+# MSVC 14.29 32-bit (VS 2019)
+build:windows:x86:msvc-14.29:avx512dq:smoketest:
+  extends: build:windows:x86-64:msvc-14.29:avx512dq:smoketest
+  variables:
+    EIGEN_CI_MSVC_ARCH: "x86"
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event"
diff --git a/include/eigen/ci/checkformat.gitlab-ci.yml b/include/eigen/ci/checkformat.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..d8547d97f7f4ae754ec2265d05b2e7fa70aa0fd2
--- /dev/null
+++ b/include/eigen/ci/checkformat.gitlab-ci.yml
@@ -0,0 +1,10 @@
+checkformat:clangformat:
+  stage: checkformat
+  image: alpine:3.19
+  only:
+    - merge_requests
+  allow_failure: true
+  before_script:
+    - apk add --no-cache git clang17-extra-tools python3
+  script:
+    - git clang-format --diff --commit ${CI_MERGE_REQUEST_DIFF_BASE_SHA}
diff --git a/include/eigen/ci/common.gitlab-ci.yml b/include/eigen/ci/common.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..dff86e84528ac8f196fdf077c7365a569293fc05
--- /dev/null
+++ b/include/eigen/ci/common.gitlab-ci.yml
@@ -0,0 +1,40 @@
+# Base configuration for linux builds and tests.
+.common:linux:cross:
+  image: ubuntu:20.04
+  variables:
+    EIGEN_CI_TARGET_ARCH: ""
+    EIGEN_CI_ADDITIONAL_ARGS: ""
+    # If host matches target, use the following:
+    EIGEN_CI_C_COMPILER: ""
+    EIGEN_CI_CXX_COMPILER: ""
+    EIGEN_CI_INSTALL: "${EIGEN_CI_C_COMPILER} ${EIGEN_CI_CXX_COMPILER}"
+    # If host does not match the target, use the following:
+    EIGEN_CI_CROSS_TARGET_TRIPLE: ""
+    EIGEN_CI_CROSS_C_COMPILER: ${EIGEN_CI_C_COMPILER}
+    EIGEN_CI_CROSS_CXX_COMPILER: ${EIGEN_CI_CXX_COMPILER}
+    EIGEN_CI_CROSS_INSTALL: "${EIGEN_CI_CROSS_C_COMPILER} ${EIGEN_CI_CROSS_CXX_COMPILER}"
+  before_script:
+    # Call script in current shell - it sets up some environment variables.
+    - . ci/scripts/common.linux.before_script.sh
+  artifacts:
+    when: always
+    name: "$CI_JOB_NAME_SLUG-$CI_COMMIT_REF_SLUG"
+    paths:
+      - ${EIGEN_CI_BUILDDIR}/
+    expire_in: 5 days
+
+# Base configuration for Windows builds and tests.
+.common:windows:
+  variables:
+    EIGEN_CI_MSVC_ARCH: x64
+    EIGEN_CI_MSVC_VER: "14.29"
+    EIGEN_CI_ADDITIONAL_ARGS: ""
+    EIGEN_CI_BEFORE_SCRIPT: ""
+  before_script:
+     - . ci/scripts/common.windows.before_script.ps1
+  artifacts:
+    when: always
+    name: "$CI_JOB_NAME_SLUG-$CI_COMMIT_REF_NAME"
+    paths:
+      - ${EIGEN_CI_BUILDDIR}/
+    expire_in: 5 days
diff --git a/include/eigen/ci/deploy.gitlab-ci.yml b/include/eigen/ci/deploy.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..c6b0f6e513dddd1669a3092f662e8ad2b71eef2b
--- /dev/null
+++ b/include/eigen/ci/deploy.gitlab-ci.yml
@@ -0,0 +1,41 @@
+ # Push a nightly tag if the pipeline succeeded.
+deploy:tag:nightly:
+  stage: deploy
+  image: alpine:edge
+  dependencies: []
+  before_script:
+    - apk add git
+  script:
+    - git tag -f nightly $CI_COMMIT_SHORT_SHA
+    - git push -f $EIGEN_CI_GIT_PUSH_URL tag nightly
+  tags:
+    - saas-linux-small-amd64
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_COMMIT_BRANCH == $CI_DEFAULT_BRANCH
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_COMMIT_BRANCH == $CI_DEFAULT_BRANCH
+
+# Upload docs if pipeline succeeded.
+deploy:docs:
+  stage: deploy
+  image: busybox
+  dependencies: [ build:linux:docs ]
+  variables:
+    PAGES_PREFIX: docs-nightly
+  script:
+    - echo "Deploying site to $CI_PAGES_URL"
+    - mv ${EIGEN_CI_BUILDDIR}/doc/html public
+  pages:
+    path_prefix: $PAGES_PREFIX
+    expire_in: never
+  artifacts:
+    name: "$CI_JOB_NAME_SLUG-$CI_COMMIT_REF_SLUG"
+    paths:
+      - public
+  tags:
+    - saas-linux-small-amd64
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "push" && $CI_PROJECT_NAMESPACE == "libeigen"
+      variables:
+        PAGES_PREFIX: docs-$CI_COMMIT_REF_NAME
diff --git a/include/eigen/ci/smoketests.gitlab-ci.yml b/include/eigen/ci/smoketests.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..6384f10769152b7d119da88e9d4538631da80e42
--- /dev/null
+++ b/include/eigen/ci/smoketests.gitlab-ci.yml
@@ -0,0 +1,107 @@
+.buildsmoketests:linux:base:
+  stage: buildsmoketests
+  image: ubuntu:18.04
+  before_script:
+    - apt-get update -y
+    - apt-get install -y --no-install-recommends software-properties-common
+    - add-apt-repository -y  ppa:ubuntu-toolchain-r/test
+    - apt-get update
+    - apt-get install --no-install-recommends -y ${EIGEN_CI_CXX_COMPILER}
+      ${EIGEN_CI_CC_COMPILER} cmake ninja-build
+  script:
+    - mkdir -p ${BUILDDIR} && cd ${BUILDDIR}
+    - CXX=${EIGEN_CI_CXX_COMPILER} CC=${EIGEN_CI_CC_COMPILER} cmake -G
+      ${EIGEN_CI_CMAKE_GENEATOR} -DEIGEN_TEST_CXX11=${EIGEN_TEST_CXX11}
+      ${EIGEN_CI_ADDITIONAL_ARGS} ..
+    - cmake --build . --target buildsmoketests
+  artifacts:
+    name: "$CI_JOB_NAME-$CI_COMMIT_REF_NAME"
+    paths:
+      - ${BUILDDIR}/
+    expire_in: 5 days
+  only:
+    - merge_requests
+
+buildsmoketests:x86-64:linux:gcc-10:cxx11-off:
+  extends: .buildsmoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: "g++-10"
+    EIGEN_CI_CC_COMPILER: "gcc-10"
+    EIGEN_TEST_CXX11: "off"
+
+buildsmoketests:x86-64:linux:gcc-10:cxx11-on:
+  extends: .buildsmoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: "g++-10"
+    EIGEN_CI_CC_COMPILER: "gcc-10"
+    EIGEN_TEST_CXX11: "on"
+
+buildsmoketests:x86-64:linux:clang-10:cxx11-off:
+  extends: .buildsmoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: "clang++-10"
+    EIGEN_CI_CC_COMPILER: "clang-10"
+    EIGEN_TEST_CXX11: "off"
+
+buildsmoketests:x86-64:linux:clang-10:cxx11-on:
+  extends: .buildsmoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: "clang++-10"
+    EIGEN_CI_CC_COMPILER: "clang-10"
+    EIGEN_TEST_CXX11: "on"
+
+.smoketests:linux:base:
+  stage: smoketests
+  image: ubuntu:18.04
+  before_script:
+    - apt-get update -y
+    - apt-get install -y --no-install-recommends software-properties-common
+    - add-apt-repository -y ppa:ubuntu-toolchain-r/test
+    - apt-get update
+    - apt-get install --no-install-recommends -y ${EIGEN_CI_CXX_COMPILER}
+      ${EIGEN_CI_CC_COMPILER} cmake ninja-build xsltproc
+  script:
+    - export CXX=${EIGEN_CI_CXX_COMPILER}
+    - export CC=${EIGEN_CI_CC_COMPILER}
+    - cd ${BUILDDIR} && ctest --output-on-failure --no-compress-output
+      --build-no-clean -T test -L smoketest
+  after_script:
+    - apt-get update -y
+    - apt-get install --no-install-recommends -y xsltproc
+    - cd ${BUILDDIR}
+    - xsltproc ../ci/CTest2JUnit.xsl Testing/`head -n 1 < Testing/TAG`/Test.xml > "JUnitTestResults_$CI_JOB_ID.xml"
+  artifacts:
+    reports:
+      junit:
+        - ${BUILDDIR}/JUnitTestResults_$CI_JOB_ID.xml
+    expire_in: 5 days
+  only:
+    - merge_requests
+
+smoketests:x86-64:linux:gcc-10:cxx11-off:
+  extends: .smoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_CC_COMPILER: gcc-10
+  needs: [ "buildsmoketests:x86-64:linux:gcc-10:cxx11-off" ]
+
+smoketests:x86-64:linux:gcc-10:cxx11-on:
+  extends: .smoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_CC_COMPILER: gcc-10
+  needs: [ "buildsmoketests:x86-64:linux:gcc-10:cxx11-on" ]
+
+smoketests:x86-64:linux:clang-10:cxx11-off:
+  extends: .smoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: clang++-10
+    EIGEN_CI_CC_COMPILER: clang-10
+  needs: [ "buildsmoketests:x86-64:linux:clang-10:cxx11-off" ]
+
+smoketests:x86-64:linux:clang-10:cxx11-on:
+  extends: .smoketests:linux:base
+  variables:
+    EIGEN_CI_CXX_COMPILER: clang++-10
+    EIGEN_CI_CC_COMPILER: clang-10
+  needs: [ "buildsmoketests:x86-64:linux:clang-10:cxx11-on" ]
diff --git a/include/eigen/ci/test.linux.gitlab-ci.yml b/include/eigen/ci/test.linux.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..6c710a7d5d4573b2f10ff78688702c294b1c38e3
--- /dev/null
+++ b/include/eigen/ci/test.linux.gitlab-ci.yml
@@ -0,0 +1,430 @@
+.test:linux:
+  extends: .common:linux:cross
+  stage: test
+  script:
+    - . ci/scripts/test.linux.script.sh
+  after_script:
+    - . ci/scripts/test.linux.after_script.sh
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "push" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_MERGE_REQUEST_LABELS =~ "/all-tests/"
+  tags:
+    - saas-linux-2xlarge-amd64
+
+##### x86-64 ###################################################################
+.test:linux:x86-64:
+  extends: .test:linux
+  variables:
+    EIGEN_CI_TARGET_ARCH: x86_64
+    EIGEN_CI_CROSS_TARGET_TRIPLE: x86_64-linux-gnu
+
+# GCC-6 (minimum on Ubuntu 18.04)
+.test:linux:x86-64:gcc-6:default:
+  extends: .test:linux:x86-64
+  image: ubuntu:18.04
+  needs: [ build:linux:cross:x86-64:gcc-6:default ]
+  variables:
+    EIGEN_CI_INSTALL: g++-6
+
+test:linux:x86-64:gcc-6:default:official:
+  extends: .test:linux:x86-64:gcc-6:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:gcc-6:default:unsupported:
+  extends: .test:linux:x86-64:gcc-6:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+# GCC-10 (modern stable)
+.test:linux:x86-64:gcc-10:default:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:gcc-10:default ]
+  variables:
+    EIGEN_CI_INSTALL: g++-10
+
+test:linux:x86-64:gcc-10:cxx03:
+  extends: .test:linux:x86-64:gcc-10:default
+  needs: [ build:linux:cross:x86-64:gcc-10:cxx03 ]
+
+test:linux:x86-64:gcc-10:default:official:
+  extends: .test:linux:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:gcc-10:default:unsupported:
+  extends: .test:linux:x86-64:gcc-10:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:x86-64:gcc-10:avx:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:gcc-10:avx ]
+  variables:
+    EIGEN_CI_INSTALL: g++-10
+
+test:linux:x86-64:gcc-10:avx:official:
+  extends: .test:linux:x86-64:gcc-10:avx
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:gcc-10:avx:unsupported:
+  extends: .test:linux:x86-64:gcc-10:avx
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:x86-64:gcc-10:avx2:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:gcc-10:avx2 ]
+  variables:
+    EIGEN_CI_INSTALL: g++-10
+
+test:linux:x86-64:gcc-10:avx2:official:
+  extends: .test:linux:x86-64:gcc-10:avx2
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:gcc-10:avx2:unsupported:
+  extends: .test:linux:x86-64:gcc-10:avx2
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:x86-64:gcc-10:avx512dq:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:gcc-10:avx512dq ]
+  variables:
+    EIGEN_CI_INSTALL: g++-10
+  tags:
+    - eigen-runner
+    - linux
+    - x86-64
+    - avx512
+
+test:linux:x86-64:gcc-10:avx512dq:official:
+  extends: .test:linux:x86-64:gcc-10:avx512dq
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:gcc-10:avx512dq:unsupported:
+  extends: .test:linux:x86-64:gcc-10:avx512dq
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+# Clang-6 (minimum on Ubuntu 20.04)
+.test:linux:x86-64:clang-6:default:
+  extends: .test:linux:x86-64
+  image: ubuntu:20.04
+  needs: [ build:linux:cross:x86-64:clang-6:default ]
+  variables:
+    EIGEN_CI_INSTALL: g++-8 clang-6.0 lld-6.0
+
+test:linux:x86-64:clang-6:default:official:
+  extends: .test:linux:x86-64:clang-6:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:clang-6:default:unsupported:
+  extends: .test:linux:x86-64:clang-6:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+# Clang-12 (modern stable)
+.test:linux:x86-64:clang-12:default:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:clang-12:default ]
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+
+test:linux:x86-64:clang-12:default:official:
+  extends: .test:linux:x86-64:clang-12:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:clang-12:default:unsupported:
+  extends: .test:linux:x86-64:clang-12:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:x86-64:clang-12:avx:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:clang-12:avx ]
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+
+test:linux:x86-64:clang-12:avx:official:
+  extends: .test:linux:x86-64:clang-12:avx
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:clang-12:avx:unsupported:
+  extends: .test:linux:x86-64:clang-12:avx
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:x86-64:clang-12:avx2:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:clang-12:avx2 ]
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+
+test:linux:x86-64:clang-12:avx2:official:
+  extends: .test:linux:x86-64:clang-12:avx2
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:clang-12:avx2:unsupported:
+  extends: .test:linux:x86-64:clang-12:avx2
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:x86-64:clang-12:avx512dq:
+  extends: .test:linux:x86-64
+  needs: [ build:linux:cross:x86-64:clang-12:avx512dq ]
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+  tags:
+    - eigen-runner
+    - linux
+    - x86-64
+    - avx512
+
+test:linux:x86-64:clang-12:avx512dq:official:
+  extends: .test:linux:x86-64:clang-12:avx512dq
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:x86-64:clang-12:avx512dq:unsupported:
+  extends: .test:linux:x86-64:clang-12:avx512dq
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+##### CUDA #####################################################################
+.test:linux:cuda:
+  extends: .test:linux
+  allow_failure: true
+  variables:
+    EIGEN_CI_CTEST_LABEL: gpu
+  tags:
+    - saas-linux-medium-amd64-gpu-standard
+
+# NVidia no longer provides docker images < CUDA 11.0.3.
+# # GCC-7, CUDA-9.2
+# test:linux:cuda-9.2:gcc-7:
+#   extends: .test:linux:cuda
+#   image: nvidia/cuda:9.2-devel-ubuntu18.04
+#   needs: [ build:linux:cuda-9.2:gcc-7 ]
+#   variables:
+#     EIGEN_CI_CXX_COMPILER: g++-7
+#     EIGEN_CI_CC_COMPILER: gcc-7
+
+# # Clang-10, CUDA-9.2
+# test:linux:cuda-9.2:clang-10:
+#   extends: .test:linux:cuda
+#   image: nvidia/cuda:9.2-devel-ubuntu18.04
+#   needs: [ build:linux:cuda-9.2:clang-10 ]
+#   variables:
+#     EIGEN_CI_CXX_COMPILER: clang++-10
+#     EIGEN_CI_CC_COMPILER: clang-10
+
+# # GCC-8, CUDA-10.2
+# test:linux:cuda-10.2:gcc-8:
+#   extends: .test:linux:cuda
+#   image: nvidia/cuda:10.2-devel-ubuntu18.04
+#   needs: [ build:linux:cuda-10.2:gcc-8 ]
+#   variables:
+#     EIGEN_CI_CXX_COMPILER: g++-8
+#     EIGEN_CI_CC_COMPILER: gcc-8
+
+# # Clang-10, CUDA-10.2
+# test:linux:cuda-10.2:clang-10:
+#   extends: .test:linux:cuda
+#   image: nvidia/cuda:10.2-devel-ubuntu18.04
+#   needs: [ build:linux:cuda-10.2:clang-10 ]
+#   variables:
+#     EIGEN_CI_CXX_COMPILER: clang++-10
+#     EIGEN_CI_CC_COMPILER: clang-10
+
+# GCC-10, CUDA-11.4
+test:linux:cuda-11.4:gcc-10:
+  extends: .test:linux:cuda
+  image: nvidia/cuda:11.4.3-devel-ubuntu20.04
+  needs: [ build:linux:cuda-11.4:gcc-10 ]
+  variables:
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_CC_COMPILER: gcc-10
+
+# Clang-12, CUDA-11.4
+test:linux:cuda-11.4:clang-12:
+  extends: .test:linux:cuda
+  image: nvidia/cuda:11.4.3-devel-ubuntu20.04
+  needs: [ build:linux:cuda-11.4:clang-12 ]
+  variables:
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_CC_COMPILER: clang-12
+
+# GCC-10, CUDA-12.2
+test:linux:cuda-12.2:gcc-10:
+  extends: .test:linux:cuda
+  image: nvidia/cuda:12.2.0-devel-ubuntu20.04
+  needs: [ build:linux:cuda-12.2:gcc-10 ]
+  variables:
+    EIGEN_CI_CXX_COMPILER: g++-10
+    EIGEN_CI_CC_COMPILER: gcc-10
+
+# Clang-12, CUDA-12.2
+test:linux:cuda-12.2:clang-12:
+  extends: .test:linux:cuda
+  image: nvidia/cuda:12.2.0-devel-ubuntu20.04
+  needs: [ build:linux:cuda-12.2:clang-12 ]
+  variables:
+    EIGEN_CI_CXX_COMPILER: clang++-12
+    EIGEN_CI_CC_COMPILER: clang-12
+
+##### arm ######################################################################
+
+.test:linux:arm:
+  extends: .test:linux
+  variables:
+    EIGEN_CI_TARGET_ARCH: arm
+    EIGEN_CI_CROSS_TARGET_TRIPLE: arm-linux-gnueabihf
+    EIGEN_CI_CTEST_ARGS: --timeout 2000
+
+.test:linux:arm:gcc-10:default:
+  extends: .test:linux:arm
+  needs: [ build:linux:cross:arm:gcc-10:default ]
+  variables:
+    EIGEN_CI_CROSS_INSTALL: g++-10-arm-linux-gnueabihf qemu-user-static
+
+test:linux:arm:gcc-10:default:official:
+  extends: .test:linux:arm:gcc-10:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:arm:gcc-10:default:unsupported:
+  extends: .test:linux:arm:gcc-10:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:arm:clang-12:default:
+  extends: .test:linux:arm
+  needs: [ build:linux:cross:arm:clang-12:default ]
+  variables:
+    EIGEN_CI_CROSS_INSTALL: g++-10-arm-linux-gnueabihf clang-12 qemu-user-static
+
+test:linux:arm:clang-12:default:official:
+  extends: .test:linux:arm:clang-12:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:arm:clang-12:default:unsupported:
+  extends: .test:linux:arm:clang-12:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+##### aarch64 ##################################################################
+
+.test:linux:aarch64:
+  extends: .test:linux
+  variables:
+    EIGEN_CI_TARGET_ARCH: aarch64
+    EIGEN_CI_CROSS_TARGET_TRIPLE: aarch64-linux-gnu
+  tags:
+    - saas-linux-large-arm64
+
+.test:linux:aarch64:gcc-10:default:
+  extends: .test:linux:aarch64
+  needs: [ build:linux:cross:aarch64:gcc-10:default ]
+  variables:
+    EIGEN_CI_INSTALL: g++-10
+
+test:linux:aarch64:gcc-10:default:official:
+  extends: .test:linux:aarch64:gcc-10:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:aarch64:gcc-10:default:unsupported:
+  extends: .test:linux:aarch64:gcc-10:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:aarch64:clang-12:default:
+  extends: .test:linux:aarch64
+  needs: [ build:linux:cross:aarch64:clang-12:default ]
+  variables:
+    EIGEN_CI_INSTALL: clang-12
+
+test:linux:aarch64:clang-12:default:official:
+  extends: .test:linux:aarch64:clang-12:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:aarch64:clang-12:default:unsupported:
+  extends: .test:linux:aarch64:clang-12:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+##### ppc64le ##################################################################
+
+.test:linux:ppc64le:
+  extends: .test:linux
+  image: ubuntu:24.04
+  variables:
+    EIGEN_CI_TARGET_ARCH: ppc64le
+    EIGEN_CI_CROSS_TARGET_TRIPLE: powerpc64le-linux-gnu
+    EIGEN_CI_CTEST_ARGS: --timeout 2000
+
+.test:linux:ppc64le:gcc-14:default:
+  extends: .test:linux:ppc64le
+  needs: [ build:linux:cross:ppc64le:gcc-14:default ]
+  variables:
+    EIGEN_CI_CROSS_INSTALL: g++-14-powerpc64le-linux-gnu qemu-user-static
+
+test:linux:ppc64le:gcc-14:default:official:
+  extends: .test:linux:ppc64le:gcc-14:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:ppc64le:gcc-14:default:unsupported:
+  extends: .test:linux:ppc64le:gcc-14:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:linux:ppc64le:clang-16:default:
+  extends: .test:linux:ppc64le
+  needs: [ build:linux:cross:ppc64le:clang-16:default ]
+  variables:
+    EIGEN_CI_CROSS_INSTALL: g++-14-powerpc64le-linux-gnu clang-16 qemu-user-static
+
+test:linux:ppc64le:clang-16:default:official:
+  extends: .test:linux:ppc64le:clang-16:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:linux:ppc64le:clang-16:default:unsupported:
+  extends: .test:linux:ppc64le:clang-16:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+##### MR Smoke Tests ###########################################################
+
+test:linux:x86-64:gcc-10:default:smoketest:
+  extends: .test:linux:x86-64:gcc-10:default
+  needs: [ build:linux:cross:x86-64:gcc-10:default:smoketest ]
+  variables:
+    EIGEN_CI_CTEST_LABEL: smoketest
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event"
+  tags:
+    - saas-linux-small-amd64
+
+test:linux:x86-64:clang-12:default:smoketest:
+  extends: .test:linux:x86-64:clang-12:default
+  needs: [ build:linux:cross:x86-64:clang-12:default:smoketest ]
+  variables:
+    EIGEN_CI_CTEST_LABEL: smoketest
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event"
+  tags:
+    - saas-linux-small-amd64
diff --git a/include/eigen/ci/test.windows.gitlab-ci.yml b/include/eigen/ci/test.windows.gitlab-ci.yml
new file mode 100644
index 0000000000000000000000000000000000000000..e4262633a2fec351551d605f1737b7ac513e16da
--- /dev/null
+++ b/include/eigen/ci/test.windows.gitlab-ci.yml
@@ -0,0 +1,110 @@
+.test:windows:
+  extends: .common:windows
+  stage: test
+  script:
+    - ./ci/scripts/test.windows.script.ps1
+  after_script:
+    - ./ci/scripts/test.windows.after_script.ps1
+  rules:
+    - if: $CI_PIPELINE_SOURCE == "schedule" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "web" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "push" && $CI_PROJECT_NAMESPACE == "libeigen"
+    - if: $CI_PIPELINE_SOURCE == "merge_request_event" && $CI_PROJECT_NAMESPACE == "libeigen" && $CI_MERGE_REQUEST_LABELS =~ "/all-tests/"
+
+  tags:
+    - eigen-runner
+    - windows
+    - x86-64
+
+##### MSVC #####################################################################
+
+# MSVC 14.16 (VS 2017)
+.test:windows:x86-64:msvc-14.16:default:
+  extends: .test:windows
+  needs: [ build:windows:x86-64:msvc-14.16:default ]
+
+test:windows:x86-64:msvc-14.16:default:official:
+  extends: .test:windows:x86-64:msvc-14.16:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:windows:x86-64:msvc-14.16:default:unsupported:
+  extends: .test:windows:x86-64:msvc-14.16:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+# MSVC 14.29 (VS 2019)
+.test:windows:x86-64:msvc-14.29:default:
+  extends: .test:windows
+  needs: [ build:windows:x86-64:msvc-14.29:default ]
+
+test:windows:x86-64:msvc-14.29:default:official:
+  extends: .test:windows:x86-64:msvc-14.29:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:windows:x86-64:msvc-14.29:default:unsupported:
+  extends: .test:windows:x86-64:msvc-14.29:default
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:windows:x86-64:msvc-14.29:avx2:
+  extends: .test:windows
+  needs: [ build:windows:x86-64:msvc-14.29:avx2 ]
+
+test:windows:x86-64:msvc-14.29:avx2:official:
+  extends: .test:windows:x86-64:msvc-14.29:avx2
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:windows:x86-64:msvc-14.29:avx2:unsupported:
+  extends: .test:windows:x86-64:msvc-14.29:avx2
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+.test:windows:x86-64:msvc-14.29:avx512dq:
+  extends: .test:windows
+  needs: [ build:windows:x86-64:msvc-14.29:avx512dq ]
+  tags:
+    - eigen-runner
+    - windows
+    - x86-64
+    - avx512
+
+test:windows:x86-64:msvc-14.29:avx512dq:official:
+  extends: .test:windows:x86-64:msvc-14.29:avx512dq
+  variables:
+    EIGEN_CI_CTEST_LABEL: Official
+
+test:windows:x86-64:msvc-14.29:avx512dq:unsupported:
+  extends: .test:windows:x86-64:msvc-14.29:avx512dq
+  variables:
+    EIGEN_CI_CTEST_LABEL: Unsupported
+
+##### MSVC + CUDA ##############################################################
+.test:windows:cuda:
+  extends: .test:windows
+  allow_failure: true
+  variables:
+    EIGEN_CI_CTEST_LABEL: gpu
+  tags:
+    - eigen-runner
+    - windows
+    - x86-64
+    - cuda
+
+# The CUDA 9.2 compiler crashes with an internal error.
+# # MSVC 14.16 + CUDA 9.2
+# test:windows:x86-64:cuda-9.2:msvc-14.16:
+#   extends: .test:windows:cuda
+#   needs: [ build:windows:x86-64:cuda-9.2:msvc-14.16 ]
+
+# MSVC 14.29 + CUDA 10.2
+test:windows:x86-64:cuda-10.2:msvc-14.29:
+  extends: .test:windows:cuda
+  needs: [ build:windows:x86-64:cuda-10.2:msvc-14.29 ]
+
+# MSVC 14.29 + CUDA 11.4
+test:windows:x86-64:cuda-11.4:msvc-14.29:
+  extends: .test:windows:cuda
+  needs: [ build:windows:x86-64:cuda-11.4:msvc-14.29 ]
diff --git a/include/eigen/demos/CMakeLists.txt b/include/eigen/demos/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..deb560f09706638f7c866b36c0c1f59a7d5b7b58
--- /dev/null
+++ b/include/eigen/demos/CMakeLists.txt
@@ -0,0 +1,13 @@
+project(EigenDemos)
+
+add_custom_target(demos)
+
+if(NOT EIGEN_TEST_NOQT)
+  find_package(Qt4)
+  if(QT4_FOUND)
+    add_subdirectory(mandelbrot)
+    add_subdirectory(opengl)
+  else()
+    message(STATUS "Qt4 not found, so disabling the mandelbrot and opengl demos")
+  endif()
+endif()
diff --git a/include/eigen/lapack/cholesky.cpp b/include/eigen/lapack/cholesky.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..ea3bc123be605fb6accac8e85fd95fcd86ae2d26
--- /dev/null
+++ b/include/eigen/lapack/cholesky.cpp
@@ -0,0 +1,72 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "lapack_common.h"
+#include <Eigen/Cholesky>
+
+// POTRF computes the Cholesky factorization of a real symmetric positive definite matrix A.
+EIGEN_LAPACK_FUNC(potrf,(char* uplo, int *n, RealScalar *pa, int *lda, int *info))
+{
+  *info = 0;
+        if(UPLO(*uplo)==INVALID) *info = -1;
+  else  if(*n<0)                 *info = -2;
+  else  if(*lda<std::max(1,*n))  *info = -4;
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"POTRF", &e, 6);
+  }
+
+  Scalar* a = reinterpret_cast<Scalar*>(pa);
+  MatrixType A(a,*n,*n,*lda);
+  int ret;
+  if(UPLO(*uplo)==UP) ret = int(internal::llt_inplace<Scalar, Upper>::blocked(A));
+  else                ret = int(internal::llt_inplace<Scalar, Lower>::blocked(A));
+
+  if(ret>=0)
+    *info = ret+1;
+  
+  return 0;
+}
+
+// POTRS solves a system of linear equations A*X = B with a symmetric
+// positive definite matrix A using the Cholesky factorization
+// A = U**T*U or A = L*L**T computed by DPOTRF.
+EIGEN_LAPACK_FUNC(potrs,(char* uplo, int *n, int *nrhs, RealScalar *pa, int *lda, RealScalar *pb, int *ldb, int *info))
+{
+  *info = 0;
+        if(UPLO(*uplo)==INVALID) *info = -1;
+  else  if(*n<0)                 *info = -2;
+  else  if(*nrhs<0)              *info = -3;
+  else  if(*lda<std::max(1,*n))  *info = -5;
+  else  if(*ldb<std::max(1,*n))  *info = -7;
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"POTRS", &e, 6);
+  }
+
+  Scalar* a = reinterpret_cast<Scalar*>(pa);
+  Scalar* b = reinterpret_cast<Scalar*>(pb);
+  MatrixType A(a,*n,*n,*lda);
+  MatrixType B(b,*n,*nrhs,*ldb);
+
+  if(UPLO(*uplo)==UP)
+  {
+    A.triangularView<Upper>().adjoint().solveInPlace(B);
+    A.triangularView<Upper>().solveInPlace(B);
+  }
+  else
+  {
+    A.triangularView<Lower>().solveInPlace(B);
+    A.triangularView<Lower>().adjoint().solveInPlace(B);
+  }
+
+  return 0;
+}
diff --git a/include/eigen/lapack/clacgv.f b/include/eigen/lapack/clacgv.f
new file mode 100644
index 0000000000000000000000000000000000000000..359eb07f36509880a5ee9d12f93a06c516da6101
--- /dev/null
+++ b/include/eigen/lapack/clacgv.f
@@ -0,0 +1,116 @@
+*> \brief \b CLACGV
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download CLACGV + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clacgv.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clacgv.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clacgv.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE CLACGV( N, X, INCX )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            INCX, N
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX            X( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> CLACGV conjugates a complex vector of length N.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The length of the vector X.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] X
+*> \verbatim
+*>          X is COMPLEX array, dimension
+*>                         (1+(N-1)*abs(INCX))
+*>          On entry, the vector of length N to be conjugated.
+*>          On exit, X is overwritten with conjg(X).
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*>          INCX is INTEGER
+*>          The spacing between successive elements of X.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complexOTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE CLACGV( N, X, INCX )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            INCX, N
+*     ..
+*     .. Array Arguments ..
+      COMPLEX            X( * )
+*     ..
+*
+* =====================================================================
+*
+*     .. Local Scalars ..
+      INTEGER            I, IOFF
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          CONJG
+*     ..
+*     .. Executable Statements ..
+*
+      IF( INCX.EQ.1 ) THEN
+         DO 10 I = 1, N
+            X( I ) = CONJG( X( I ) )
+   10    CONTINUE
+      ELSE
+         IOFF = 1
+         IF( INCX.LT.0 )
+     $      IOFF = 1 - ( N-1 )*INCX
+         DO 20 I = 1, N
+            X( IOFF ) = CONJG( X( IOFF ) )
+            IOFF = IOFF + INCX
+   20    CONTINUE
+      END IF
+      RETURN
+*
+*     End of CLACGV
+*
+      END
diff --git a/include/eigen/lapack/cladiv.f b/include/eigen/lapack/cladiv.f
new file mode 100644
index 0000000000000000000000000000000000000000..2807ac5fc1ebb34a3398821445f433e41750dd09
--- /dev/null
+++ b/include/eigen/lapack/cladiv.f
@@ -0,0 +1,97 @@
+*> \brief \b CLADIV
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download CLADIV + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/cladiv.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/cladiv.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/cladiv.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       COMPLEX FUNCTION CLADIV( X, Y )
+* 
+*       .. Scalar Arguments ..
+*       COMPLEX            X, Y
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> CLADIV := X / Y, where X and Y are complex.  The computation of X / Y
+*> will not overflow on an intermediary step unless the results
+*> overflows.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] X
+*> \verbatim
+*>          X is COMPLEX
+*> \endverbatim
+*>
+*> \param[in] Y
+*> \verbatim
+*>          Y is COMPLEX
+*>          The complex scalars X and Y.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complexOTHERauxiliary
+*
+*  =====================================================================
+      COMPLEX FUNCTION CLADIV( X, Y )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      COMPLEX            X, Y
+*     ..
+*
+*  =====================================================================
+*
+*     .. Local Scalars ..
+      REAL               ZI, ZR
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           SLADIV
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          AIMAG, CMPLX, REAL
+*     ..
+*     .. Executable Statements ..
+*
+      CALL SLADIV( REAL( X ), AIMAG( X ), REAL( Y ), AIMAG( Y ), ZR,
+     $             ZI )
+      CLADIV = CMPLX( ZR, ZI )
+*
+      RETURN
+*
+*     End of CLADIV
+*
+      END
diff --git a/include/eigen/lapack/clarfg.f b/include/eigen/lapack/clarfg.f
new file mode 100644
index 0000000000000000000000000000000000000000..d64f396c3d508a6ef0b1e7edd417c44b7a44800a
--- /dev/null
+++ b/include/eigen/lapack/clarfg.f
@@ -0,0 +1,203 @@
+*> \brief \b CLARFG
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download CLARFG + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clarfg.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clarfg.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clarfg.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE CLARFG( N, ALPHA, X, INCX, TAU )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            INCX, N
+*       COMPLEX            ALPHA, TAU
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX            X( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> CLARFG generates a complex elementary reflector H of order n, such
+*> that
+*>
+*>       H**H * ( alpha ) = ( beta ),   H**H * H = I.
+*>              (   x   )   (   0  )
+*>
+*> where alpha and beta are scalars, with beta real, and x is an
+*> (n-1)-element complex vector. H is represented in the form
+*>
+*>       H = I - tau * ( 1 ) * ( 1 v**H ) ,
+*>                     ( v )
+*>
+*> where tau is a complex scalar and v is a complex (n-1)-element
+*> vector. Note that H is not hermitian.
+*>
+*> If the elements of x are all zero and alpha is real, then tau = 0
+*> and H is taken to be the unit matrix.
+*>
+*> Otherwise  1 <= real(tau) <= 2  and  abs(tau-1) <= 1 .
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the elementary reflector.
+*> \endverbatim
+*>
+*> \param[in,out] ALPHA
+*> \verbatim
+*>          ALPHA is COMPLEX
+*>          On entry, the value alpha.
+*>          On exit, it is overwritten with the value beta.
+*> \endverbatim
+*>
+*> \param[in,out] X
+*> \verbatim
+*>          X is COMPLEX array, dimension
+*>                         (1+(N-2)*abs(INCX))
+*>          On entry, the vector x.
+*>          On exit, it is overwritten with the vector v.
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*>          INCX is INTEGER
+*>          The increment between elements of X. INCX > 0.
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*>          TAU is COMPLEX
+*>          The value tau.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complexOTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE CLARFG( N, ALPHA, X, INCX, TAU )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            INCX, N
+      COMPLEX            ALPHA, TAU
+*     ..
+*     .. Array Arguments ..
+      COMPLEX            X( * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ONE, ZERO
+      PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER            J, KNT
+      REAL               ALPHI, ALPHR, BETA, RSAFMN, SAFMIN, XNORM
+*     ..
+*     .. External Functions ..
+      REAL               SCNRM2, SLAMCH, SLAPY3
+      COMPLEX            CLADIV
+      EXTERNAL           SCNRM2, SLAMCH, SLAPY3, CLADIV
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS, AIMAG, CMPLX, REAL, SIGN
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           CSCAL, CSSCAL
+*     ..
+*     .. Executable Statements ..
+*
+      IF( N.LE.0 ) THEN
+         TAU = ZERO
+         RETURN
+      END IF
+*
+      XNORM = SCNRM2( N-1, X, INCX )
+      ALPHR = REAL( ALPHA )
+      ALPHI = AIMAG( ALPHA )
+*
+      IF( XNORM.EQ.ZERO .AND. ALPHI.EQ.ZERO ) THEN
+*
+*        H  =  I
+*
+         TAU = ZERO
+      ELSE
+*
+*        general case
+*
+         BETA = -SIGN( SLAPY3( ALPHR, ALPHI, XNORM ), ALPHR )
+         SAFMIN = SLAMCH( 'S' ) / SLAMCH( 'E' )
+         RSAFMN = ONE / SAFMIN
+*
+         KNT = 0
+         IF( ABS( BETA ).LT.SAFMIN ) THEN
+*
+*           XNORM, BETA may be inaccurate; scale X and recompute them
+*
+   10       CONTINUE
+            KNT = KNT + 1
+            CALL CSSCAL( N-1, RSAFMN, X, INCX )
+            BETA = BETA*RSAFMN
+            ALPHI = ALPHI*RSAFMN
+            ALPHR = ALPHR*RSAFMN
+            IF( ABS( BETA ).LT.SAFMIN )
+     $         GO TO 10
+*
+*           New BETA is at most 1, at least SAFMIN
+*
+            XNORM = SCNRM2( N-1, X, INCX )
+            ALPHA = CMPLX( ALPHR, ALPHI )
+            BETA = -SIGN( SLAPY3( ALPHR, ALPHI, XNORM ), ALPHR )
+         END IF
+         TAU = CMPLX( ( BETA-ALPHR ) / BETA, -ALPHI / BETA )
+         ALPHA = CLADIV( CMPLX( ONE ), ALPHA-BETA )
+         CALL CSCAL( N-1, ALPHA, X, INCX )
+*
+*        If ALPHA is subnormal, it may lose relative accuracy
+*
+         DO 20 J = 1, KNT
+            BETA = BETA*SAFMIN
+ 20      CONTINUE
+         ALPHA = BETA
+      END IF
+*
+      RETURN
+*
+*     End of CLARFG
+*
+      END
diff --git a/include/eigen/lapack/complex_single.cpp b/include/eigen/lapack/complex_single.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..6d11b26cdf88eaf90f005b3f6b47152c6755e67c
--- /dev/null
+++ b/include/eigen/lapack/complex_single.cpp
@@ -0,0 +1,18 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009-2014 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#define SCALAR        std::complex<float>
+#define SCALAR_SUFFIX c
+#define SCALAR_SUFFIX_UP "C"
+#define REAL_SCALAR_SUFFIX s
+#define ISCOMPLEX     1
+
+#include "cholesky.cpp"
+#include "lu.cpp"
+#include "svd.cpp"
diff --git a/include/eigen/lapack/dlapy3.f b/include/eigen/lapack/dlapy3.f
new file mode 100644
index 0000000000000000000000000000000000000000..ae9844f80e766874e4fd029ddaecab2039c8dd18
--- /dev/null
+++ b/include/eigen/lapack/dlapy3.f
@@ -0,0 +1,111 @@
+*> \brief \b DLAPY3
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DLAPY3 + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlapy3.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlapy3.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlapy3.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       DOUBLE PRECISION FUNCTION DLAPY3( X, Y, Z )
+* 
+*       .. Scalar Arguments ..
+*       DOUBLE PRECISION   X, Y, Z
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DLAPY3 returns sqrt(x**2+y**2+z**2), taking care not to cause
+*> unnecessary overflow.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] X
+*> \verbatim
+*>          X is DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[in] Y
+*> \verbatim
+*>          Y is DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[in] Z
+*> \verbatim
+*>          Z is DOUBLE PRECISION
+*>          X, Y and Z specify the values x, y and z.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      DOUBLE PRECISION FUNCTION DLAPY3( X, Y, Z )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION   X, Y, Z
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION   ZERO
+      PARAMETER          ( ZERO = 0.0D0 )
+*     ..
+*     .. Local Scalars ..
+      DOUBLE PRECISION   W, XABS, YABS, ZABS
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS, MAX, SQRT
+*     ..
+*     .. Executable Statements ..
+*
+      XABS = ABS( X )
+      YABS = ABS( Y )
+      ZABS = ABS( Z )
+      W = MAX( XABS, YABS, ZABS )
+      IF( W.EQ.ZERO ) THEN
+*     W can be zero for max(0,nan,0)
+*     adding all three entries together will make sure
+*     NaN will not disappear.
+         DLAPY3 =  XABS + YABS + ZABS
+      ELSE
+         DLAPY3 = W*SQRT( ( XABS / W )**2+( YABS / W )**2+
+     $            ( ZABS / W )**2 )
+      END IF
+      RETURN
+*
+*     End of DLAPY3
+*
+      END
diff --git a/include/eigen/lapack/dlarfb.f b/include/eigen/lapack/dlarfb.f
new file mode 100644
index 0000000000000000000000000000000000000000..206d3b268287b2d5a34dd4e0c72f6aa31288497d
--- /dev/null
+++ b/include/eigen/lapack/dlarfb.f
@@ -0,0 +1,762 @@
+*> \brief \b DLARFB
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DLARFB + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfb.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfb.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfb.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+*                          T, LDT, C, LDC, WORK, LDWORK )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          DIRECT, SIDE, STOREV, TRANS
+*       INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   C( LDC, * ), T( LDT, * ), V( LDV, * ),
+*      $                   WORK( LDWORK, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DLARFB applies a real block reflector H or its transpose H**T to a
+*> real m by n matrix C, from either the left or the right.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*>          SIDE is CHARACTER*1
+*>          = 'L': apply H or H**T from the Left
+*>          = 'R': apply H or H**T from the Right
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*>          TRANS is CHARACTER*1
+*>          = 'N': apply H (No transpose)
+*>          = 'T': apply H**T (Transpose)
+*> \endverbatim
+*>
+*> \param[in] DIRECT
+*> \verbatim
+*>          DIRECT is CHARACTER*1
+*>          Indicates how H is formed from a product of elementary
+*>          reflectors
+*>          = 'F': H = H(1) H(2) . . . H(k) (Forward)
+*>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
+*> \endverbatim
+*>
+*> \param[in] STOREV
+*> \verbatim
+*>          STOREV is CHARACTER*1
+*>          Indicates how the vectors which define the elementary
+*>          reflectors are stored:
+*>          = 'C': Columnwise
+*>          = 'R': Rowwise
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*>          K is INTEGER
+*>          The order of the matrix T (= the number of elementary
+*>          reflectors whose product defines the block reflector).
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*>          V is DOUBLE PRECISION array, dimension
+*>                                (LDV,K) if STOREV = 'C'
+*>                                (LDV,M) if STOREV = 'R' and SIDE = 'L'
+*>                                (LDV,N) if STOREV = 'R' and SIDE = 'R'
+*>          The matrix V. See Further Details.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*>          LDV is INTEGER
+*>          The leading dimension of the array V.
+*>          If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M);
+*>          if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N);
+*>          if STOREV = 'R', LDV >= K.
+*> \endverbatim
+*>
+*> \param[in] T
+*> \verbatim
+*>          T is DOUBLE PRECISION array, dimension (LDT,K)
+*>          The triangular k by k matrix T in the representation of the
+*>          block reflector.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*>          LDT is INTEGER
+*>          The leading dimension of the array T. LDT >= K.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*>          C is DOUBLE PRECISION array, dimension (LDC,N)
+*>          On entry, the m by n matrix C.
+*>          On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*>          LDC is INTEGER
+*>          The leading dimension of the array C. LDC >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is DOUBLE PRECISION array, dimension (LDWORK,K)
+*> \endverbatim
+*>
+*> \param[in] LDWORK
+*> \verbatim
+*>          LDWORK is INTEGER
+*>          The leading dimension of the array WORK.
+*>          If SIDE = 'L', LDWORK >= max(1,N);
+*>          if SIDE = 'R', LDWORK >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup doubleOTHERauxiliary
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The shape of the matrix V and the storage of the vectors which define
+*>  the H(i) is best illustrated by the following example with n = 5 and
+*>  k = 3. The elements equal to 1 are not stored; the corresponding
+*>  array elements are modified but restored on exit. The rest of the
+*>  array is not used.
+*>
+*>  DIRECT = 'F' and STOREV = 'C':         DIRECT = 'F' and STOREV = 'R':
+*>
+*>               V = (  1       )                 V = (  1 v1 v1 v1 v1 )
+*>                   ( v1  1    )                     (     1 v2 v2 v2 )
+*>                   ( v1 v2  1 )                     (        1 v3 v3 )
+*>                   ( v1 v2 v3 )
+*>                   ( v1 v2 v3 )
+*>
+*>  DIRECT = 'B' and STOREV = 'C':         DIRECT = 'B' and STOREV = 'R':
+*>
+*>               V = ( v1 v2 v3 )                 V = ( v1 v1  1       )
+*>                   ( v1 v2 v3 )                     ( v2 v2 v2  1    )
+*>                   (  1 v2 v3 )                     ( v3 v3 v3 v3  1 )
+*>                   (     1 v3 )
+*>                   (        1 )
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+     $                   T, LDT, C, LDC, WORK, LDWORK )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      CHARACTER          DIRECT, SIDE, STOREV, TRANS
+      INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
+*     ..
+*     .. Array Arguments ..
+      DOUBLE PRECISION   C( LDC, * ), T( LDT, * ), V( LDV, * ),
+     $                   WORK( LDWORK, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION   ONE
+      PARAMETER          ( ONE = 1.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      CHARACTER          TRANST
+      INTEGER            I, J, LASTV, LASTC
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      INTEGER            ILADLR, ILADLC
+      EXTERNAL           LSAME, ILADLR, ILADLC
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           DCOPY, DGEMM, DTRMM
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick return if possible
+*
+      IF( M.LE.0 .OR. N.LE.0 )
+     $   RETURN
+*
+      IF( LSAME( TRANS, 'N' ) ) THEN
+         TRANST = 'T'
+      ELSE
+         TRANST = 'N'
+      END IF
+*
+      IF( LSAME( STOREV, 'C' ) ) THEN
+*
+         IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+*           Let  V =  ( V1 )    (first K rows)
+*                     ( V2 )
+*           where  V1  is unit lower triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILADLR( M, K, V, LDV ) )
+               LASTC = ILADLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V  =  (C1**T * V1 + C2**T * V2)  (stored in WORK)
+*
+*              W := C1**T
+*
+               DO 10 J = 1, K
+                  CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+   10          CONTINUE
+*
+*              W := W * V1
+*
+               CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2**T *V2
+*
+                  CALL DGEMM( 'Transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - V2 * W**T
+*
+                  CALL DGEMM( 'No transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K,
+     $                 -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
+     $                 C( K+1, 1 ), LDC )
+               END IF
+*
+*              W := W * V1**T
+*
+               CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W**T
+*
+               DO 30 J = 1, K
+                  DO 20 I = 1, LASTC
+                     C( J, I ) = C( J, I ) - WORK( I, J )
+   20             CONTINUE
+   30          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILADLR( N, K, V, LDV ) )
+               LASTC = ILADLR( M, LASTV, C, LDC )
+*
+*              W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
+*
+*              W := C1
+*
+               DO 40 J = 1, K
+                  CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+   40          CONTINUE
+*
+*              W := W * V1
+*
+               CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2 * V2
+*
+                  CALL DGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - W * V2**T
+*
+                  CALL DGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, LASTV-K, K,
+     $                 -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
+     $                 C( 1, K+1 ), LDC )
+               END IF
+*
+*              W := W * V1**T
+*
+               CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 60 J = 1, K
+                  DO 50 I = 1, LASTC
+                     C( I, J ) = C( I, J ) - WORK( I, J )
+   50             CONTINUE
+   60          CONTINUE
+            END IF
+*
+         ELSE
+*
+*           Let  V =  ( V1 )
+*                     ( V2 )    (last K rows)
+*           where  V2  is unit upper triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILADLR( M, K, V, LDV ) )
+               LASTC = ILADLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V  =  (C1**T * V1 + C2**T * V2)  (stored in WORK)
+*
+*              W := C2**T
+*
+               DO 70 J = 1, K
+                  CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+     $                 WORK( 1, J ), 1 )
+   70          CONTINUE
+*
+*              W := W * V2
+*
+               CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1**T*V1
+*
+                  CALL DGEMM( 'Transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - V1 * W**T
+*
+                  CALL DGEMM( 'No transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2**T
+*
+               CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W**T
+*
+               DO 90 J = 1, K
+                  DO 80 I = 1, LASTC
+                     C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J)
+   80             CONTINUE
+   90          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILADLR( N, K, V, LDV ) )
+               LASTC = ILADLR( M, LASTV, C, LDC )
+*
+*              W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
+*
+*              W := C2
+*
+               DO 100 J = 1, K
+                  CALL DCOPY( LASTC, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
+  100          CONTINUE
+*
+*              W := W * V2
+*
+               CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1 * V1
+*
+                  CALL DGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - W * V1**T
+*
+                  CALL DGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2**T
+*
+               CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W
+*
+               DO 120 J = 1, K
+                  DO 110 I = 1, LASTC
+                     C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - WORK(I, J)
+  110             CONTINUE
+  120          CONTINUE
+            END IF
+         END IF
+*
+      ELSE IF( LSAME( STOREV, 'R' ) ) THEN
+*
+         IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+*           Let  V =  ( V1  V2 )    (V1: first K columns)
+*           where  V1  is unit upper triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILADLC( K, M, V, LDV ) )
+               LASTC = ILADLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V**T  =  (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+*
+*              W := C1**T
+*
+               DO 130 J = 1, K
+                  CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+  130          CONTINUE
+*
+*              W := W * V1**T
+*
+               CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2**T*V2**T
+*
+                  CALL DGEMM( 'Transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V**T * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - V2**T * W**T
+*
+                  CALL DGEMM( 'Transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K,
+     $                 -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
+     $                 ONE, C( K+1, 1 ), LDC )
+               END IF
+*
+*              W := W * V1
+*
+               CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W**T
+*
+               DO 150 J = 1, K
+                  DO 140 I = 1, LASTC
+                     C( J, I ) = C( J, I ) - WORK( I, J )
+  140             CONTINUE
+  150          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILADLC( K, N, V, LDV ) )
+               LASTC = ILADLR( M, LASTV, C, LDC )
+*
+*              W := C * V**T  =  (C1*V1**T + C2*V2**T)  (stored in WORK)
+*
+*              W := C1
+*
+               DO 160 J = 1, K
+                  CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+  160          CONTINUE
+*
+*              W := W * V1**T
+*
+               CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2 * V2**T
+*
+                  CALL DGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - W * V2
+*
+                  CALL DGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, LASTV-K, K,
+     $                 -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
+     $                 ONE, C( 1, K+1 ), LDC )
+               END IF
+*
+*              W := W * V1
+*
+               CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 180 J = 1, K
+                  DO 170 I = 1, LASTC
+                     C( I, J ) = C( I, J ) - WORK( I, J )
+  170             CONTINUE
+  180          CONTINUE
+*
+            END IF
+*
+         ELSE
+*
+*           Let  V =  ( V1  V2 )    (V2: last K columns)
+*           where  V2  is unit lower triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILADLC( K, M, V, LDV ) )
+               LASTC = ILADLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V**T  =  (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+*
+*              W := C2**T
+*
+               DO 190 J = 1, K
+                  CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+     $                 WORK( 1, J ), 1 )
+  190          CONTINUE
+*
+*              W := W * V2**T
+*
+               CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1**T * V1**T
+*
+                  CALL DGEMM( 'Transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V**T * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - V1**T * W**T
+*
+                  CALL DGEMM( 'Transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2
+*
+               CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W**T
+*
+               DO 210 J = 1, K
+                  DO 200 I = 1, LASTC
+                     C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J)
+  200             CONTINUE
+  210          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILADLC( K, N, V, LDV ) )
+               LASTC = ILADLR( M, LASTV, C, LDC )
+*
+*              W := C * V**T  =  (C1*V1**T + C2*V2**T)  (stored in WORK)
+*
+*              W := C2
+*
+               DO 220 J = 1, K
+                  CALL DCOPY( LASTC, C( 1, LASTV-K+J ), 1,
+     $                 WORK( 1, J ), 1 )
+  220          CONTINUE
+*
+*              W := W * V2**T
+*
+               CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1 * V1**T
+*
+                  CALL DGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - W * V1
+*
+                  CALL DGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2
+*
+               CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 240 J = 1, K
+                  DO 230 I = 1, LASTC
+                     C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - WORK(I, J)
+  230             CONTINUE
+  240          CONTINUE
+*
+            END IF
+*
+         END IF
+      END IF
+*
+      RETURN
+*
+*     End of DLARFB
+*
+      END
diff --git a/include/eigen/lapack/dlarfg.f b/include/eigen/lapack/dlarfg.f
new file mode 100644
index 0000000000000000000000000000000000000000..458ad2e053f3b34ba38306557987280c8acf1796
--- /dev/null
+++ b/include/eigen/lapack/dlarfg.f
@@ -0,0 +1,196 @@
+*> \brief \b DLARFG
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DLARFG + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfg.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfg.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfg.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DLARFG( N, ALPHA, X, INCX, TAU )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            INCX, N
+*       DOUBLE PRECISION   ALPHA, TAU
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   X( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DLARFG generates a real elementary reflector H of order n, such
+*> that
+*>
+*>       H * ( alpha ) = ( beta ),   H**T * H = I.
+*>           (   x   )   (   0  )
+*>
+*> where alpha and beta are scalars, and x is an (n-1)-element real
+*> vector. H is represented in the form
+*>
+*>       H = I - tau * ( 1 ) * ( 1 v**T ) ,
+*>                     ( v )
+*>
+*> where tau is a real scalar and v is a real (n-1)-element
+*> vector.
+*>
+*> If the elements of x are all zero, then tau = 0 and H is taken to be
+*> the unit matrix.
+*>
+*> Otherwise  1 <= tau <= 2.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the elementary reflector.
+*> \endverbatim
+*>
+*> \param[in,out] ALPHA
+*> \verbatim
+*>          ALPHA is DOUBLE PRECISION
+*>          On entry, the value alpha.
+*>          On exit, it is overwritten with the value beta.
+*> \endverbatim
+*>
+*> \param[in,out] X
+*> \verbatim
+*>          X is DOUBLE PRECISION array, dimension
+*>                         (1+(N-2)*abs(INCX))
+*>          On entry, the vector x.
+*>          On exit, it is overwritten with the vector v.
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*>          INCX is INTEGER
+*>          The increment between elements of X. INCX > 0.
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*>          TAU is DOUBLE PRECISION
+*>          The value tau.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup doubleOTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE DLARFG( N, ALPHA, X, INCX, TAU )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            INCX, N
+      DOUBLE PRECISION   ALPHA, TAU
+*     ..
+*     .. Array Arguments ..
+      DOUBLE PRECISION   X( * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION   ONE, ZERO
+      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER            J, KNT
+      DOUBLE PRECISION   BETA, RSAFMN, SAFMIN, XNORM
+*     ..
+*     .. External Functions ..
+      DOUBLE PRECISION   DLAMCH, DLAPY2, DNRM2
+      EXTERNAL           DLAMCH, DLAPY2, DNRM2
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS, SIGN
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           DSCAL
+*     ..
+*     .. Executable Statements ..
+*
+      IF( N.LE.1 ) THEN
+         TAU = ZERO
+         RETURN
+      END IF
+*
+      XNORM = DNRM2( N-1, X, INCX )
+*
+      IF( XNORM.EQ.ZERO ) THEN
+*
+*        H  =  I
+*
+         TAU = ZERO
+      ELSE
+*
+*        general case
+*
+         BETA = -SIGN( DLAPY2( ALPHA, XNORM ), ALPHA )
+         SAFMIN = DLAMCH( 'S' ) / DLAMCH( 'E' )
+         KNT = 0
+         IF( ABS( BETA ).LT.SAFMIN ) THEN
+*
+*           XNORM, BETA may be inaccurate; scale X and recompute them
+*
+            RSAFMN = ONE / SAFMIN
+   10       CONTINUE
+            KNT = KNT + 1
+            CALL DSCAL( N-1, RSAFMN, X, INCX )
+            BETA = BETA*RSAFMN
+            ALPHA = ALPHA*RSAFMN
+            IF( ABS( BETA ).LT.SAFMIN )
+     $         GO TO 10
+*
+*           New BETA is at most 1, at least SAFMIN
+*
+            XNORM = DNRM2( N-1, X, INCX )
+            BETA = -SIGN( DLAPY2( ALPHA, XNORM ), ALPHA )
+         END IF
+         TAU = ( BETA-ALPHA ) / BETA
+         CALL DSCAL( N-1, ONE / ( ALPHA-BETA ), X, INCX )
+*
+*        If ALPHA is subnormal, it may lose relative accuracy
+*
+         DO 20 J = 1, KNT
+            BETA = BETA*SAFMIN
+ 20      CONTINUE
+         ALPHA = BETA
+      END IF
+*
+      RETURN
+*
+*     End of DLARFG
+*
+      END
diff --git a/include/eigen/lapack/dlarft.f b/include/eigen/lapack/dlarft.f
new file mode 100644
index 0000000000000000000000000000000000000000..4b75504037565aa0594ce3bf6515fda63b948282
--- /dev/null
+++ b/include/eigen/lapack/dlarft.f
@@ -0,0 +1,326 @@
+*> \brief \b DLARFT
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DLARFT + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarft.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarft.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarft.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          DIRECT, STOREV
+*       INTEGER            K, LDT, LDV, N
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   T( LDT, * ), TAU( * ), V( LDV, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DLARFT forms the triangular factor T of a real block reflector H
+*> of order n, which is defined as a product of k elementary reflectors.
+*>
+*> If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
+*>
+*> If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular.
+*>
+*> If STOREV = 'C', the vector which defines the elementary reflector
+*> H(i) is stored in the i-th column of the array V, and
+*>
+*>    H  =  I - V * T * V**T
+*>
+*> If STOREV = 'R', the vector which defines the elementary reflector
+*> H(i) is stored in the i-th row of the array V, and
+*>
+*>    H  =  I - V**T * T * V
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] DIRECT
+*> \verbatim
+*>          DIRECT is CHARACTER*1
+*>          Specifies the order in which the elementary reflectors are
+*>          multiplied to form the block reflector:
+*>          = 'F': H = H(1) H(2) . . . H(k) (Forward)
+*>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
+*> \endverbatim
+*>
+*> \param[in] STOREV
+*> \verbatim
+*>          STOREV is CHARACTER*1
+*>          Specifies how the vectors which define the elementary
+*>          reflectors are stored (see also Further Details):
+*>          = 'C': columnwise
+*>          = 'R': rowwise
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the block reflector H. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*>          K is INTEGER
+*>          The order of the triangular factor T (= the number of
+*>          elementary reflectors). K >= 1.
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*>          V is DOUBLE PRECISION array, dimension
+*>                               (LDV,K) if STOREV = 'C'
+*>                               (LDV,N) if STOREV = 'R'
+*>          The matrix V. See further details.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*>          LDV is INTEGER
+*>          The leading dimension of the array V.
+*>          If STOREV = 'C', LDV >= max(1,N); if STOREV = 'R', LDV >= K.
+*> \endverbatim
+*>
+*> \param[in] TAU
+*> \verbatim
+*>          TAU is DOUBLE PRECISION array, dimension (K)
+*>          TAU(i) must contain the scalar factor of the elementary
+*>          reflector H(i).
+*> \endverbatim
+*>
+*> \param[out] T
+*> \verbatim
+*>          T is DOUBLE PRECISION array, dimension (LDT,K)
+*>          The k by k triangular factor T of the block reflector.
+*>          If DIRECT = 'F', T is upper triangular; if DIRECT = 'B', T is
+*>          lower triangular. The rest of the array is not used.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*>          LDT is INTEGER
+*>          The leading dimension of the array T. LDT >= K.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup doubleOTHERauxiliary
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The shape of the matrix V and the storage of the vectors which define
+*>  the H(i) is best illustrated by the following example with n = 5 and
+*>  k = 3. The elements equal to 1 are not stored.
+*>
+*>  DIRECT = 'F' and STOREV = 'C':         DIRECT = 'F' and STOREV = 'R':
+*>
+*>               V = (  1       )                 V = (  1 v1 v1 v1 v1 )
+*>                   ( v1  1    )                     (     1 v2 v2 v2 )
+*>                   ( v1 v2  1 )                     (        1 v3 v3 )
+*>                   ( v1 v2 v3 )
+*>                   ( v1 v2 v3 )
+*>
+*>  DIRECT = 'B' and STOREV = 'C':         DIRECT = 'B' and STOREV = 'R':
+*>
+*>               V = ( v1 v2 v3 )                 V = ( v1 v1  1       )
+*>                   ( v1 v2 v3 )                     ( v2 v2 v2  1    )
+*>                   (  1 v2 v3 )                     ( v3 v3 v3 v3  1 )
+*>                   (     1 v3 )
+*>                   (        1 )
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE DLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+*
+*  -- LAPACK auxiliary routine (version 3.4.1) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*     .. Scalar Arguments ..
+      CHARACTER          DIRECT, STOREV
+      INTEGER            K, LDT, LDV, N
+*     ..
+*     .. Array Arguments ..
+      DOUBLE PRECISION   T( LDT, * ), TAU( * ), V( LDV, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION   ONE, ZERO
+      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER            I, J, PREVLASTV, LASTV
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           DGEMV, DTRMV
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      EXTERNAL           LSAME
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick return if possible
+*
+      IF( N.EQ.0 )
+     $   RETURN
+*
+      IF( LSAME( DIRECT, 'F' ) ) THEN
+         PREVLASTV = N
+         DO I = 1, K
+            PREVLASTV = MAX( I, PREVLASTV )
+            IF( TAU( I ).EQ.ZERO ) THEN
+*
+*              H(i)  =  I
+*
+               DO J = 1, I
+                  T( J, I ) = ZERO
+               END DO
+            ELSE
+*
+*              general case
+*
+               IF( LSAME( STOREV, 'C' ) ) THEN
+*                 Skip any trailing zeros.
+                  DO LASTV = N, I+1, -1
+                     IF( V( LASTV, I ).NE.ZERO ) EXIT
+                  END DO
+                  DO J = 1, I-1
+                     T( J, I ) = -TAU( I ) * V( I , J )
+                  END DO   
+                  J = MIN( LASTV, PREVLASTV )
+*
+*                 T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)**T * V(i:j,i)
+*
+                  CALL DGEMV( 'Transpose', J-I, I-1, -TAU( I ), 
+     $                        V( I+1, 1 ), LDV, V( I+1, I ), 1, ONE, 
+     $                        T( 1, I ), 1 )
+               ELSE
+*                 Skip any trailing zeros.
+                  DO LASTV = N, I+1, -1
+                     IF( V( I, LASTV ).NE.ZERO ) EXIT
+                  END DO
+                  DO J = 1, I-1
+                     T( J, I ) = -TAU( I ) * V( J , I )
+                  END DO   
+                  J = MIN( LASTV, PREVLASTV )
+*
+*                 T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)**T
+*
+                  CALL DGEMV( 'No transpose', I-1, J-I, -TAU( I ),
+     $                        V( 1, I+1 ), LDV, V( I, I+1 ), LDV, ONE,
+     $                        T( 1, I ), 1 )
+               END IF
+*
+*              T(1:i-1,i) := T(1:i-1,1:i-1) * T(1:i-1,i)
+*
+               CALL DTRMV( 'Upper', 'No transpose', 'Non-unit', I-1, T,
+     $                     LDT, T( 1, I ), 1 )
+               T( I, I ) = TAU( I )
+               IF( I.GT.1 ) THEN
+                  PREVLASTV = MAX( PREVLASTV, LASTV )
+               ELSE
+                  PREVLASTV = LASTV
+               END IF
+            END IF
+         END DO
+      ELSE
+         PREVLASTV = 1
+         DO I = K, 1, -1
+            IF( TAU( I ).EQ.ZERO ) THEN
+*
+*              H(i)  =  I
+*
+               DO J = I, K
+                  T( J, I ) = ZERO
+               END DO
+            ELSE
+*
+*              general case
+*
+               IF( I.LT.K ) THEN
+                  IF( LSAME( STOREV, 'C' ) ) THEN
+*                    Skip any leading zeros.
+                     DO LASTV = 1, I-1
+                        IF( V( LASTV, I ).NE.ZERO ) EXIT
+                     END DO
+                     DO J = I+1, K
+                        T( J, I ) = -TAU( I ) * V( N-K+I , J )
+                     END DO   
+                     J = MAX( LASTV, PREVLASTV )
+*
+*                    T(i+1:k,i) = -tau(i) * V(j:n-k+i,i+1:k)**T * V(j:n-k+i,i)
+*
+                     CALL DGEMV( 'Transpose', N-K+I-J, K-I, -TAU( I ),
+     $                           V( J, I+1 ), LDV, V( J, I ), 1, ONE,
+     $                           T( I+1, I ), 1 )
+                  ELSE
+*                    Skip any leading zeros.
+                     DO LASTV = 1, I-1
+                        IF( V( I, LASTV ).NE.ZERO ) EXIT
+                     END DO
+                     DO J = I+1, K
+                        T( J, I ) = -TAU( I ) * V( J, N-K+I )
+                     END DO   
+                     J = MAX( LASTV, PREVLASTV )
+*
+*                    T(i+1:k,i) = -tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)**T
+*
+                     CALL DGEMV( 'No transpose', K-I, N-K+I-J,
+     $                    -TAU( I ), V( I+1, J ), LDV, V( I, J ), LDV,
+     $                    ONE, T( I+1, I ), 1 )
+                  END IF
+*
+*                 T(i+1:k,i) := T(i+1:k,i+1:k) * T(i+1:k,i)
+*
+                  CALL DTRMV( 'Lower', 'No transpose', 'Non-unit', K-I,
+     $                        T( I+1, I+1 ), LDT, T( I+1, I ), 1 )
+                  IF( I.GT.1 ) THEN
+                     PREVLASTV = MIN( PREVLASTV, LASTV )
+                  ELSE
+                     PREVLASTV = LASTV
+                  END IF
+               END IF
+               T( I, I ) = TAU( I )
+            END IF
+         END DO
+      END IF
+      RETURN
+*
+*     End of DLARFT
+*
+      END
diff --git a/include/eigen/lapack/eigenvalues.cpp b/include/eigen/lapack/eigenvalues.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..921c51569708f5a2ca5dede14162c14ce3caf2fd
--- /dev/null
+++ b/include/eigen/lapack/eigenvalues.cpp
@@ -0,0 +1,62 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2011 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "lapack_common.h"
+#include <Eigen/Eigenvalues>
+
+// computes eigen values and vectors of a general N-by-N matrix A
+EIGEN_LAPACK_FUNC(syev,(char *jobz, char *uplo, int* n, Scalar* a, int *lda, Scalar* w, Scalar* /*work*/, int* lwork, int *info))
+{
+  // TODO exploit the work buffer
+  bool query_size = *lwork==-1;
+  
+  *info = 0;
+        if(*jobz!='N' && *jobz!='V')                    *info = -1;
+  else  if(UPLO(*uplo)==INVALID)                        *info = -2;
+  else  if(*n<0)                                        *info = -3;
+  else  if(*lda<std::max(1,*n))                         *info = -5;
+  else  if((!query_size) && *lwork<std::max(1,3**n-1))  *info = -8;
+    
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"SYEV ", &e, 6);
+  }
+  
+  if(query_size)
+  {
+    *lwork = 0;
+    return 0;
+  }
+  
+  if(*n==0)
+    return 0;
+  
+  PlainMatrixType mat(*n,*n);
+  if(UPLO(*uplo)==UP) mat = matrix(a,*n,*n,*lda).adjoint();
+  else                mat = matrix(a,*n,*n,*lda);
+  
+  bool computeVectors = *jobz=='V' || *jobz=='v';
+  SelfAdjointEigenSolver<PlainMatrixType> eig(mat,computeVectors?ComputeEigenvectors:EigenvaluesOnly);
+  
+  if(eig.info()==NoConvergence)
+  {
+    make_vector(w,*n).setZero();
+    if(computeVectors)
+      matrix(a,*n,*n,*lda).setIdentity();
+    //*info = 1;
+    return 0;
+  }
+  
+  make_vector(w,*n) = eig.eigenvalues();
+  if(computeVectors)
+    matrix(a,*n,*n,*lda) = eig.eigenvectors();
+  
+  return 0;
+}
diff --git a/include/eigen/lapack/ilaclc.f b/include/eigen/lapack/ilaclc.f
new file mode 100644
index 0000000000000000000000000000000000000000..4ceb61c5279f1d14ce96acb6cb2ea788d5196470
--- /dev/null
+++ b/include/eigen/lapack/ilaclc.f
@@ -0,0 +1,118 @@
+*> \brief \b ILACLC
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ILACLC + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaclc.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaclc.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaclc.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       INTEGER FUNCTION ILACLC( M, N, A, LDA )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            M, N, LDA
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX            A( LDA, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ILACLC scans A for its last non-zero column.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*>          A is COMPLEX array, dimension (LDA,N)
+*>          The m by n matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complexOTHERauxiliary
+*
+*  =====================================================================
+      INTEGER FUNCTION ILACLC( M, N, A, LDA )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            M, N, LDA
+*     ..
+*     .. Array Arguments ..
+      COMPLEX            A( LDA, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      COMPLEX          ZERO
+      PARAMETER ( ZERO = (0.0E+0, 0.0E+0) )
+*     ..
+*     .. Local Scalars ..
+      INTEGER I
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick test for the common case where one corner is non-zero.
+      IF( N.EQ.0 ) THEN
+         ILACLC = N
+      ELSE IF( A(1, N).NE.ZERO .OR. A(M, N).NE.ZERO ) THEN
+         ILACLC = N
+      ELSE
+*     Now scan each column from the end, returning with the first non-zero.
+         DO ILACLC = N, 1, -1
+            DO I = 1, M
+               IF( A(I, ILACLC).NE.ZERO ) RETURN
+            END DO
+         END DO
+      END IF
+      RETURN
+      END
diff --git a/include/eigen/lapack/ilaclr.f b/include/eigen/lapack/ilaclr.f
new file mode 100644
index 0000000000000000000000000000000000000000..d8ab09c5532660052e50292b8466331e76901a10
--- /dev/null
+++ b/include/eigen/lapack/ilaclr.f
@@ -0,0 +1,121 @@
+*> \brief \b ILACLR
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ILACLR + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaclr.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaclr.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaclr.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       INTEGER FUNCTION ILACLR( M, N, A, LDA )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            M, N, LDA
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX            A( LDA, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ILACLR scans A for its last non-zero row.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*>          A is array, dimension (LDA,N)
+*>          The m by n matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup complexOTHERauxiliary
+*
+*  =====================================================================
+      INTEGER FUNCTION ILACLR( M, N, A, LDA )
+*
+*  -- LAPACK auxiliary routine (version 3.4.1) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*     .. Scalar Arguments ..
+      INTEGER            M, N, LDA
+*     ..
+*     .. Array Arguments ..
+      COMPLEX            A( LDA, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      COMPLEX          ZERO
+      PARAMETER ( ZERO = (0.0E+0, 0.0E+0) )
+*     ..
+*     .. Local Scalars ..
+      INTEGER I, J
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick test for the common case where one corner is non-zero.
+      IF( M.EQ.0 ) THEN
+         ILACLR = M
+      ELSE IF( A(M, 1).NE.ZERO .OR. A(M, N).NE.ZERO ) THEN
+         ILACLR = M
+      ELSE
+*     Scan up each column tracking the last zero row seen.
+         ILACLR = 0
+         DO J = 1, N
+            I=M
+            DO WHILE((A(MAX(I,1),J).EQ.ZERO).AND.(I.GE.1))
+               I=I-1
+            ENDDO
+            ILACLR = MAX( ILACLR, I )
+         END DO
+      END IF
+      RETURN
+      END
diff --git a/include/eigen/lapack/iladlr.f b/include/eigen/lapack/iladlr.f
new file mode 100644
index 0000000000000000000000000000000000000000..2114c616418ea5bd040ee95d601107d5f3c2c2c8
--- /dev/null
+++ b/include/eigen/lapack/iladlr.f
@@ -0,0 +1,121 @@
+*> \brief \b ILADLR
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ILADLR + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/iladlr.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/iladlr.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/iladlr.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       INTEGER FUNCTION ILADLR( M, N, A, LDA )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            M, N, LDA
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   A( LDA, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ILADLR scans A for its last non-zero row.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*>          A is DOUBLE PRECISION array, dimension (LDA,N)
+*>          The m by n matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      INTEGER FUNCTION ILADLR( M, N, A, LDA )
+*
+*  -- LAPACK auxiliary routine (version 3.4.1) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*     .. Scalar Arguments ..
+      INTEGER            M, N, LDA
+*     ..
+*     .. Array Arguments ..
+      DOUBLE PRECISION   A( LDA, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION ZERO
+      PARAMETER ( ZERO = 0.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER I, J
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick test for the common case where one corner is non-zero.
+      IF( M.EQ.0 ) THEN
+         ILADLR = M
+      ELSE IF( A(M, 1).NE.ZERO .OR. A(M, N).NE.ZERO ) THEN
+         ILADLR = M
+      ELSE
+*     Scan up each column tracking the last zero row seen.
+         ILADLR = 0
+         DO J = 1, N
+            I=M
+            DO WHILE((A(MAX(I,1),J).EQ.ZERO).AND.(I.GE.1))
+               I=I-1
+            ENDDO
+            ILADLR = MAX( ILADLR, I )
+         END DO
+      END IF
+      RETURN
+      END
diff --git a/include/eigen/lapack/ilaslc.f b/include/eigen/lapack/ilaslc.f
new file mode 100644
index 0000000000000000000000000000000000000000..e3db0f4ae6040e9cea0d26889ded4329e894e5dd
--- /dev/null
+++ b/include/eigen/lapack/ilaslc.f
@@ -0,0 +1,118 @@
+*> \brief \b ILASLC
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ILASLC + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaslc.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaslc.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaslc.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       INTEGER FUNCTION ILASLC( M, N, A, LDA )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            M, N, LDA
+*       ..
+*       .. Array Arguments ..
+*       REAL               A( LDA, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ILASLC scans A for its last non-zero column.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*>          A is REAL array, dimension (LDA,N)
+*>          The m by n matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup realOTHERauxiliary
+*
+*  =====================================================================
+      INTEGER FUNCTION ILASLC( M, N, A, LDA )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            M, N, LDA
+*     ..
+*     .. Array Arguments ..
+      REAL               A( LDA, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL             ZERO
+      PARAMETER ( ZERO = 0.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER I
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick test for the common case where one corner is non-zero.
+      IF( N.EQ.0 ) THEN
+         ILASLC = N
+      ELSE IF( A(1, N).NE.ZERO .OR. A(M, N).NE.ZERO ) THEN
+         ILASLC = N
+      ELSE
+*     Now scan each column from the end, returning with the first non-zero.
+         DO ILASLC = N, 1, -1
+            DO I = 1, M
+               IF( A(I, ILASLC).NE.ZERO ) RETURN
+            END DO
+         END DO
+      END IF
+      RETURN
+      END
diff --git a/include/eigen/lapack/ilazlr.f b/include/eigen/lapack/ilazlr.f
new file mode 100644
index 0000000000000000000000000000000000000000..b2ab943ca0a2b9b84c0c6a92e46b1569c8b582a9
--- /dev/null
+++ b/include/eigen/lapack/ilazlr.f
@@ -0,0 +1,121 @@
+*> \brief \b ILAZLR
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ILAZLR + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilazlr.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilazlr.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilazlr.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       INTEGER FUNCTION ILAZLR( M, N, A, LDA )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            M, N, LDA
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX*16         A( LDA, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ILAZLR scans A for its last non-zero row.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*>          A is COMPLEX*16 array, dimension (LDA,N)
+*>          The m by n matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup complex16OTHERauxiliary
+*
+*  =====================================================================
+      INTEGER FUNCTION ILAZLR( M, N, A, LDA )
+*
+*  -- LAPACK auxiliary routine (version 3.4.1) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*     .. Scalar Arguments ..
+      INTEGER            M, N, LDA
+*     ..
+*     .. Array Arguments ..
+      COMPLEX*16         A( LDA, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      COMPLEX*16       ZERO
+      PARAMETER ( ZERO = (0.0D+0, 0.0D+0) )
+*     ..
+*     .. Local Scalars ..
+      INTEGER I, J
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick test for the common case where one corner is non-zero.
+      IF( M.EQ.0 ) THEN
+         ILAZLR = M
+      ELSE IF( A(M, 1).NE.ZERO .OR. A(M, N).NE.ZERO ) THEN
+         ILAZLR = M
+      ELSE
+*     Scan up each column tracking the last zero row seen.
+         ILAZLR = 0
+         DO J = 1, N
+            I=M
+            DO WHILE((A(MAX(I,1),J).EQ.ZERO).AND.(I.GE.1))
+               I=I-1
+            ENDDO
+            ILAZLR = MAX( ILAZLR, I )
+         END DO
+      END IF
+      RETURN
+      END
diff --git a/include/eigen/lapack/lu.cpp b/include/eigen/lapack/lu.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..90cebe0f4801c40c5b5979b7eb0553952b880951
--- /dev/null
+++ b/include/eigen/lapack/lu.cpp
@@ -0,0 +1,89 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "common.h"
+#include <Eigen/LU>
+
+// computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges
+EIGEN_LAPACK_FUNC(getrf,(int *m, int *n, RealScalar *pa, int *lda, int *ipiv, int *info))
+{
+  *info = 0;
+        if(*m<0)                  *info = -1;
+  else  if(*n<0)                  *info = -2;
+  else  if(*lda<std::max(1,*m))   *info = -4;
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"GETRF", &e, 6);
+  }
+
+  if(*m==0 || *n==0)
+    return 0;
+
+  Scalar* a = reinterpret_cast<Scalar*>(pa);
+  int nb_transpositions;
+  int ret = int(Eigen::internal::partial_lu_impl<Scalar,ColMajor,int>
+                     ::blocked_lu(*m, *n, a, *lda, ipiv, nb_transpositions));
+
+  for(int i=0; i<std::min(*m,*n); ++i)
+    ipiv[i]++;
+
+  if(ret>=0)
+    *info = ret+1;
+
+  return 0;
+}
+
+//GETRS solves a system of linear equations
+//    A * X = B  or  A' * X = B
+//  with a general N-by-N matrix A using the LU factorization computed  by GETRF
+EIGEN_LAPACK_FUNC(getrs,(char *trans, int *n, int *nrhs, RealScalar *pa, int *lda, int *ipiv, RealScalar *pb, int *ldb, int *info))
+{
+  *info = 0;
+        if(OP(*trans)==INVALID)  *info = -1;
+  else  if(*n<0)                 *info = -2;
+  else  if(*nrhs<0)              *info = -3;
+  else  if(*lda<std::max(1,*n))  *info = -5;
+  else  if(*ldb<std::max(1,*n))  *info = -8;
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"GETRS", &e, 6);
+  }
+
+  Scalar* a = reinterpret_cast<Scalar*>(pa);
+  Scalar* b = reinterpret_cast<Scalar*>(pb);
+  MatrixType lu(a,*n,*n,*lda);
+  MatrixType B(b,*n,*nrhs,*ldb);
+
+  for(int i=0; i<*n; ++i)
+    ipiv[i]--;
+  if(OP(*trans)==NOTR)
+  {
+    B = PivotsType(ipiv,*n) * B;
+    lu.triangularView<UnitLower>().solveInPlace(B);
+    lu.triangularView<Upper>().solveInPlace(B);
+  }
+  else if(OP(*trans)==TR)
+  {
+    lu.triangularView<Upper>().transpose().solveInPlace(B);
+    lu.triangularView<UnitLower>().transpose().solveInPlace(B);
+    B = PivotsType(ipiv,*n).transpose() * B;
+  }
+  else if(OP(*trans)==ADJ)
+  {
+    lu.triangularView<Upper>().adjoint().solveInPlace(B);
+    lu.triangularView<UnitLower>().adjoint().solveInPlace(B);
+    B = PivotsType(ipiv,*n).transpose() * B;
+  }
+  for(int i=0; i<*n; ++i)
+    ipiv[i]++;
+
+  return 0;
+}
diff --git a/include/eigen/lapack/second_NONE.f b/include/eigen/lapack/second_NONE.f
new file mode 100644
index 0000000000000000000000000000000000000000..d3e6d3319b54f71589468653759f6ef63948029d
--- /dev/null
+++ b/include/eigen/lapack/second_NONE.f
@@ -0,0 +1,52 @@
+*> \brief \b SECOND returns nothing
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*  Definition:
+*  ===========
+*
+*      REAL FUNCTION SECOND( )
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*>  SECOND returns nothing instead of returning the user time for a process in seconds.
+*>  If you are using that routine, it means that neither EXTERNAL ETIME,
+*>  EXTERNAL ETIME_, INTERNAL ETIME, INTERNAL CPU_TIME is available  on
+*>  your machine.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      REAL FUNCTION SECOND( )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+* =====================================================================
+*
+      SECOND = 0.0E+0
+      RETURN
+*
+*     End of SECOND
+*
+      END
diff --git a/include/eigen/lapack/sladiv.f b/include/eigen/lapack/sladiv.f
new file mode 100644
index 0000000000000000000000000000000000000000..da3afa36b83d2eef45c409874a8454cd7551a14e
--- /dev/null
+++ b/include/eigen/lapack/sladiv.f
@@ -0,0 +1,128 @@
+*> \brief \b SLADIV
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLADIV + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/sladiv.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/sladiv.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/sladiv.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE SLADIV( A, B, C, D, P, Q )
+* 
+*       .. Scalar Arguments ..
+*       REAL               A, B, C, D, P, Q
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLADIV performs complex division in  real arithmetic
+*>
+*>                       a + i*b
+*>            p + i*q = ---------
+*>                       c + i*d
+*>
+*> The algorithm is due to Robert L. Smith and can be found
+*> in D. Knuth, The art of Computer Programming, Vol.2, p.195
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] A
+*> \verbatim
+*>          A is REAL
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*>          B is REAL
+*> \endverbatim
+*>
+*> \param[in] C
+*> \verbatim
+*>          C is REAL
+*> \endverbatim
+*>
+*> \param[in] D
+*> \verbatim
+*>          D is REAL
+*>          The scalars a, b, c, and d in the above expression.
+*> \endverbatim
+*>
+*> \param[out] P
+*> \verbatim
+*>          P is REAL
+*> \endverbatim
+*>
+*> \param[out] Q
+*> \verbatim
+*>          Q is REAL
+*>          The scalars p and q in the above expression.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE SLADIV( A, B, C, D, P, Q )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      REAL               A, B, C, D, P, Q
+*     ..
+*
+*  =====================================================================
+*
+*     .. Local Scalars ..
+      REAL               E, F
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS
+*     ..
+*     .. Executable Statements ..
+*
+      IF( ABS( D ).LT.ABS( C ) ) THEN
+         E = D / C
+         F = C + D*E
+         P = ( A+B*E ) / F
+         Q = ( B-A*E ) / F
+      ELSE
+         E = C / D
+         F = D + C*E
+         P = ( B+A*E ) / F
+         Q = ( -A+B*E ) / F
+      END IF
+*
+      RETURN
+*
+*     End of SLADIV
+*
+      END
diff --git a/include/eigen/lapack/slamch.f b/include/eigen/lapack/slamch.f
new file mode 100644
index 0000000000000000000000000000000000000000..4bffad0eb67cf4cc45dacf7302149caea0f19e9c
--- /dev/null
+++ b/include/eigen/lapack/slamch.f
@@ -0,0 +1,192 @@
+*> \brief \b SLAMCH
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*  Definition:
+*  ===========
+*
+*      REAL             FUNCTION SLAMCH( CMACH )
+*
+*     .. Scalar Arguments ..
+*      CHARACTER          CMACH
+*     ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLAMCH determines single precision machine parameters.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] CMACH
+*> \verbatim
+*>          Specifies the value to be returned by SLAMCH:
+*>          = 'E' or 'e',   SLAMCH := eps
+*>          = 'S' or 's ,   SLAMCH := sfmin
+*>          = 'B' or 'b',   SLAMCH := base
+*>          = 'P' or 'p',   SLAMCH := eps*base
+*>          = 'N' or 'n',   SLAMCH := t
+*>          = 'R' or 'r',   SLAMCH := rnd
+*>          = 'M' or 'm',   SLAMCH := emin
+*>          = 'U' or 'u',   SLAMCH := rmin
+*>          = 'L' or 'l',   SLAMCH := emax
+*>          = 'O' or 'o',   SLAMCH := rmax
+*>          where
+*>          eps   = relative machine precision
+*>          sfmin = safe minimum, such that 1/sfmin does not overflow
+*>          base  = base of the machine
+*>          prec  = eps*base
+*>          t     = number of (base) digits in the mantissa
+*>          rnd   = 1.0 when rounding occurs in addition, 0.0 otherwise
+*>          emin  = minimum exponent before (gradual) underflow
+*>          rmin  = underflow threshold - base**(emin-1)
+*>          emax  = largest exponent before overflow
+*>          rmax  = overflow threshold  - (base**emax)*(1-eps)
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      REAL             FUNCTION SLAMCH( CMACH )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      CHARACTER          CMACH
+*     ..
+*
+* =====================================================================
+*
+*     .. Parameters ..
+      REAL               ONE, ZERO
+      PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
+*     ..
+*     .. Local Scalars ..
+      REAL               RND, EPS, SFMIN, SMALL, RMACH
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      EXTERNAL           LSAME
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          DIGITS, EPSILON, HUGE, MAXEXPONENT,
+     $                   MINEXPONENT, RADIX, TINY
+*     ..
+*     .. Executable Statements ..
+*
+*
+*     Assume rounding, not chopping. Always.
+*
+      RND = ONE
+*
+      IF( ONE.EQ.RND ) THEN
+         EPS = EPSILON(ZERO) * 0.5
+      ELSE
+         EPS = EPSILON(ZERO)
+      END IF
+*
+      IF( LSAME( CMACH, 'E' ) ) THEN
+         RMACH = EPS
+      ELSE IF( LSAME( CMACH, 'S' ) ) THEN
+         SFMIN = TINY(ZERO)
+         SMALL = ONE / HUGE(ZERO)
+         IF( SMALL.GE.SFMIN ) THEN
+*
+*           Use SMALL plus a bit, to avoid the possibility of rounding
+*           causing overflow when computing  1/sfmin.
+*
+            SFMIN = SMALL*( ONE+EPS )
+         END IF
+         RMACH = SFMIN
+      ELSE IF( LSAME( CMACH, 'B' ) ) THEN
+         RMACH = RADIX(ZERO)
+      ELSE IF( LSAME( CMACH, 'P' ) ) THEN
+         RMACH = EPS * RADIX(ZERO)
+      ELSE IF( LSAME( CMACH, 'N' ) ) THEN
+         RMACH = DIGITS(ZERO)
+      ELSE IF( LSAME( CMACH, 'R' ) ) THEN
+         RMACH = RND
+      ELSE IF( LSAME( CMACH, 'M' ) ) THEN
+         RMACH = MINEXPONENT(ZERO)
+      ELSE IF( LSAME( CMACH, 'U' ) ) THEN
+         RMACH = tiny(zero)
+      ELSE IF( LSAME( CMACH, 'L' ) ) THEN
+         RMACH = MAXEXPONENT(ZERO)
+      ELSE IF( LSAME( CMACH, 'O' ) ) THEN
+         RMACH = HUGE(ZERO)
+      ELSE
+         RMACH = ZERO
+      END IF
+*
+      SLAMCH = RMACH
+      RETURN
+*
+*     End of SLAMCH
+*
+      END
+************************************************************************
+*> \brief \b SLAMC3
+*> \details
+*> \b Purpose:
+*> \verbatim
+*> SLAMC3  is intended to force  A  and  B  to be stored prior to doing
+*> the addition of  A  and  B ,  for use in situations where optimizers
+*> might hold one of these in a register.
+*> \endverbatim
+*> \author LAPACK is a software package provided by Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..
+*> \date November 2011
+*> \ingroup auxOTHERauxiliary
+*>
+*> \param[in] A
+*> \verbatim
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*>          The values A and B.
+*> \endverbatim
+*>
+*
+      REAL             FUNCTION SLAMC3( A, B )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
+*     November 2010
+*
+*     .. Scalar Arguments ..
+      REAL               A, B
+*     ..
+* =====================================================================
+*
+*     .. Executable Statements ..
+*
+      SLAMC3 = A + B
+*
+      RETURN
+*
+*     End of SLAMC3
+*
+      END
+*
+************************************************************************
diff --git a/include/eigen/lapack/slapy2.f b/include/eigen/lapack/slapy2.f
new file mode 100644
index 0000000000000000000000000000000000000000..1f6b1ca4f39da6bf3c61110244b39f519e981e62
--- /dev/null
+++ b/include/eigen/lapack/slapy2.f
@@ -0,0 +1,104 @@
+*> \brief \b SLAPY2
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLAPY2 + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slapy2.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slapy2.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slapy2.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       REAL             FUNCTION SLAPY2( X, Y )
+* 
+*       .. Scalar Arguments ..
+*       REAL               X, Y
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLAPY2 returns sqrt(x**2+y**2), taking care not to cause unnecessary
+*> overflow.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] X
+*> \verbatim
+*>          X is REAL
+*> \endverbatim
+*>
+*> \param[in] Y
+*> \verbatim
+*>          Y is REAL
+*>          X and Y specify the values x and y.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      REAL             FUNCTION SLAPY2( X, Y )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      REAL               X, Y
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ZERO
+      PARAMETER          ( ZERO = 0.0E0 )
+      REAL               ONE
+      PARAMETER          ( ONE = 1.0E0 )
+*     ..
+*     .. Local Scalars ..
+      REAL               W, XABS, YABS, Z
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS, MAX, MIN, SQRT
+*     ..
+*     .. Executable Statements ..
+*
+      XABS = ABS( X )
+      YABS = ABS( Y )
+      W = MAX( XABS, YABS )
+      Z = MIN( XABS, YABS )
+      IF( Z.EQ.ZERO ) THEN
+         SLAPY2 = W
+      ELSE
+         SLAPY2 = W*SQRT( ONE+( Z / W )**2 )
+      END IF
+      RETURN
+*
+*     End of SLAPY2
+*
+      END
diff --git a/include/eigen/lapack/slapy3.f b/include/eigen/lapack/slapy3.f
new file mode 100644
index 0000000000000000000000000000000000000000..aa2f5bfc4d3478e9c1b564cc5ae1b6734d927ad6
--- /dev/null
+++ b/include/eigen/lapack/slapy3.f
@@ -0,0 +1,111 @@
+*> \brief \b SLAPY3
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLAPY3 + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slapy3.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slapy3.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slapy3.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       REAL             FUNCTION SLAPY3( X, Y, Z )
+* 
+*       .. Scalar Arguments ..
+*       REAL               X, Y, Z
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLAPY3 returns sqrt(x**2+y**2+z**2), taking care not to cause
+*> unnecessary overflow.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] X
+*> \verbatim
+*>          X is REAL
+*> \endverbatim
+*>
+*> \param[in] Y
+*> \verbatim
+*>          Y is REAL
+*> \endverbatim
+*>
+*> \param[in] Z
+*> \verbatim
+*>          Z is REAL
+*>          X, Y and Z specify the values x, y and z.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      REAL             FUNCTION SLAPY3( X, Y, Z )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      REAL               X, Y, Z
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ZERO
+      PARAMETER          ( ZERO = 0.0E0 )
+*     ..
+*     .. Local Scalars ..
+      REAL               W, XABS, YABS, ZABS
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS, MAX, SQRT
+*     ..
+*     .. Executable Statements ..
+*
+      XABS = ABS( X )
+      YABS = ABS( Y )
+      ZABS = ABS( Z )
+      W = MAX( XABS, YABS, ZABS )
+      IF( W.EQ.ZERO ) THEN
+*     W can be zero for max(0,nan,0)
+*     adding all three entries together will make sure
+*     NaN will not disappear.
+         SLAPY3 =  XABS + YABS + ZABS
+      ELSE
+         SLAPY3 = W*SQRT( ( XABS / W )**2+( YABS / W )**2+
+     $            ( ZABS / W )**2 )
+      END IF
+      RETURN
+*
+*     End of SLAPY3
+*
+      END
diff --git a/include/eigen/lapack/slarf.f b/include/eigen/lapack/slarf.f
new file mode 100644
index 0000000000000000000000000000000000000000..8a8ff308ea595a8875225ac44a8fba4b172ff857
--- /dev/null
+++ b/include/eigen/lapack/slarf.f
@@ -0,0 +1,227 @@
+*> \brief \b SLARF
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLARF + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slarf.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slarf.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slarf.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE SLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          SIDE
+*       INTEGER            INCV, LDC, M, N
+*       REAL               TAU
+*       ..
+*       .. Array Arguments ..
+*       REAL               C( LDC, * ), V( * ), WORK( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLARF applies a real elementary reflector H to a real m by n matrix
+*> C, from either the left or the right. H is represented in the form
+*>
+*>       H = I - tau * v * v**T
+*>
+*> where tau is a real scalar and v is a real vector.
+*>
+*> If tau = 0, then H is taken to be the unit matrix.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*>          SIDE is CHARACTER*1
+*>          = 'L': form  H * C
+*>          = 'R': form  C * H
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*>          V is REAL array, dimension
+*>                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'
+*>                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
+*>          The vector v in the representation of H. V is not used if
+*>          TAU = 0.
+*> \endverbatim
+*>
+*> \param[in] INCV
+*> \verbatim
+*>          INCV is INTEGER
+*>          The increment between elements of v. INCV <> 0.
+*> \endverbatim
+*>
+*> \param[in] TAU
+*> \verbatim
+*>          TAU is REAL
+*>          The value tau in the representation of H.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*>          C is REAL array, dimension (LDC,N)
+*>          On entry, the m by n matrix C.
+*>          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
+*>          or C * H if SIDE = 'R'.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*>          LDC is INTEGER
+*>          The leading dimension of the array C. LDC >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is REAL array, dimension
+*>                         (N) if SIDE = 'L'
+*>                      or (M) if SIDE = 'R'
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup realOTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE SLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      CHARACTER          SIDE
+      INTEGER            INCV, LDC, M, N
+      REAL               TAU
+*     ..
+*     .. Array Arguments ..
+      REAL               C( LDC, * ), V( * ), WORK( * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ONE, ZERO
+      PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
+*     ..
+*     .. Local Scalars ..
+      LOGICAL            APPLYLEFT
+      INTEGER            I, LASTV, LASTC
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           SGEMV, SGER
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      INTEGER            ILASLR, ILASLC
+      EXTERNAL           LSAME, ILASLR, ILASLC
+*     ..
+*     .. Executable Statements ..
+*
+      APPLYLEFT = LSAME( SIDE, 'L' )
+      LASTV = 0
+      LASTC = 0
+      IF( TAU.NE.ZERO ) THEN
+!     Set up variables for scanning V.  LASTV begins pointing to the end
+!     of V.
+         IF( APPLYLEFT ) THEN
+            LASTV = M
+         ELSE
+            LASTV = N
+         END IF
+         IF( INCV.GT.0 ) THEN
+            I = 1 + (LASTV-1) * INCV
+         ELSE
+            I = 1
+         END IF
+!     Look for the last non-zero row in V.
+         DO WHILE( LASTV.GT.0 .AND. V( I ).EQ.ZERO )
+            LASTV = LASTV - 1
+            I = I - INCV
+         END DO
+         IF( APPLYLEFT ) THEN
+!     Scan for the last non-zero column in C(1:lastv,:).
+            LASTC = ILASLC(LASTV, N, C, LDC)
+         ELSE
+!     Scan for the last non-zero row in C(:,1:lastv).
+            LASTC = ILASLR(M, LASTV, C, LDC)
+         END IF
+      END IF
+!     Note that lastc.eq.0 renders the BLAS operations null; no special
+!     case is needed at this level.
+      IF( APPLYLEFT ) THEN
+*
+*        Form  H * C
+*
+         IF( LASTV.GT.0 ) THEN
+*
+*           w(1:lastc,1) := C(1:lastv,1:lastc)**T * v(1:lastv,1)
+*
+            CALL SGEMV( 'Transpose', LASTV, LASTC, ONE, C, LDC, V, INCV,
+     $           ZERO, WORK, 1 )
+*
+*           C(1:lastv,1:lastc) := C(...) - v(1:lastv,1) * w(1:lastc,1)**T
+*
+            CALL SGER( LASTV, LASTC, -TAU, V, INCV, WORK, 1, C, LDC )
+         END IF
+      ELSE
+*
+*        Form  C * H
+*
+         IF( LASTV.GT.0 ) THEN
+*
+*           w(1:lastc,1) := C(1:lastc,1:lastv) * v(1:lastv,1)
+*
+            CALL SGEMV( 'No transpose', LASTC, LASTV, ONE, C, LDC,
+     $           V, INCV, ZERO, WORK, 1 )
+*
+*           C(1:lastc,1:lastv) := C(...) - w(1:lastc,1) * v(1:lastv,1)**T
+*
+            CALL SGER( LASTC, LASTV, -TAU, WORK, 1, V, INCV, C, LDC )
+         END IF
+      END IF
+      RETURN
+*
+*     End of SLARF
+*
+      END
diff --git a/include/eigen/lapack/slarfb.f b/include/eigen/lapack/slarfb.f
new file mode 100644
index 0000000000000000000000000000000000000000..eb95990b37e5618178e0f2000036383677fbf17f
--- /dev/null
+++ b/include/eigen/lapack/slarfb.f
@@ -0,0 +1,763 @@
+*> \brief \b SLARFB
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLARFB + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slarfb.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slarfb.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slarfb.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE SLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+*                          T, LDT, C, LDC, WORK, LDWORK )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          DIRECT, SIDE, STOREV, TRANS
+*       INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
+*       ..
+*       .. Array Arguments ..
+*       REAL               C( LDC, * ), T( LDT, * ), V( LDV, * ),
+*      $                   WORK( LDWORK, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLARFB applies a real block reflector H or its transpose H**T to a
+*> real m by n matrix C, from either the left or the right.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*>          SIDE is CHARACTER*1
+*>          = 'L': apply H or H**T from the Left
+*>          = 'R': apply H or H**T from the Right
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*>          TRANS is CHARACTER*1
+*>          = 'N': apply H (No transpose)
+*>          = 'T': apply H**T (Transpose)
+*> \endverbatim
+*>
+*> \param[in] DIRECT
+*> \verbatim
+*>          DIRECT is CHARACTER*1
+*>          Indicates how H is formed from a product of elementary
+*>          reflectors
+*>          = 'F': H = H(1) H(2) . . . H(k) (Forward)
+*>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
+*> \endverbatim
+*>
+*> \param[in] STOREV
+*> \verbatim
+*>          STOREV is CHARACTER*1
+*>          Indicates how the vectors which define the elementary
+*>          reflectors are stored:
+*>          = 'C': Columnwise
+*>          = 'R': Rowwise
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*>          K is INTEGER
+*>          The order of the matrix T (= the number of elementary
+*>          reflectors whose product defines the block reflector).
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*>          V is REAL array, dimension
+*>                                (LDV,K) if STOREV = 'C'
+*>                                (LDV,M) if STOREV = 'R' and SIDE = 'L'
+*>                                (LDV,N) if STOREV = 'R' and SIDE = 'R'
+*>          The matrix V. See Further Details.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*>          LDV is INTEGER
+*>          The leading dimension of the array V.
+*>          If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M);
+*>          if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N);
+*>          if STOREV = 'R', LDV >= K.
+*> \endverbatim
+*>
+*> \param[in] T
+*> \verbatim
+*>          T is REAL array, dimension (LDT,K)
+*>          The triangular k by k matrix T in the representation of the
+*>          block reflector.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*>          LDT is INTEGER
+*>          The leading dimension of the array T. LDT >= K.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*>          C is REAL array, dimension (LDC,N)
+*>          On entry, the m by n matrix C.
+*>          On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*>          LDC is INTEGER
+*>          The leading dimension of the array C. LDC >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is REAL array, dimension (LDWORK,K)
+*> \endverbatim
+*>
+*> \param[in] LDWORK
+*> \verbatim
+*>          LDWORK is INTEGER
+*>          The leading dimension of the array WORK.
+*>          If SIDE = 'L', LDWORK >= max(1,N);
+*>          if SIDE = 'R', LDWORK >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup realOTHERauxiliary
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The shape of the matrix V and the storage of the vectors which define
+*>  the H(i) is best illustrated by the following example with n = 5 and
+*>  k = 3. The elements equal to 1 are not stored; the corresponding
+*>  array elements are modified but restored on exit. The rest of the
+*>  array is not used.
+*>
+*>  DIRECT = 'F' and STOREV = 'C':         DIRECT = 'F' and STOREV = 'R':
+*>
+*>               V = (  1       )                 V = (  1 v1 v1 v1 v1 )
+*>                   ( v1  1    )                     (     1 v2 v2 v2 )
+*>                   ( v1 v2  1 )                     (        1 v3 v3 )
+*>                   ( v1 v2 v3 )
+*>                   ( v1 v2 v3 )
+*>
+*>  DIRECT = 'B' and STOREV = 'C':         DIRECT = 'B' and STOREV = 'R':
+*>
+*>               V = ( v1 v2 v3 )                 V = ( v1 v1  1       )
+*>                   ( v1 v2 v3 )                     ( v2 v2 v2  1    )
+*>                   (  1 v2 v3 )                     ( v3 v3 v3 v3  1 )
+*>                   (     1 v3 )
+*>                   (        1 )
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE SLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+     $                   T, LDT, C, LDC, WORK, LDWORK )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      CHARACTER          DIRECT, SIDE, STOREV, TRANS
+      INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
+*     ..
+*     .. Array Arguments ..
+      REAL               C( LDC, * ), T( LDT, * ), V( LDV, * ),
+     $                   WORK( LDWORK, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ONE
+      PARAMETER          ( ONE = 1.0E+0 )
+*     ..
+*     .. Local Scalars ..
+      CHARACTER          TRANST
+      INTEGER            I, J, LASTV, LASTC
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      INTEGER            ILASLR, ILASLC
+      EXTERNAL           LSAME, ILASLR, ILASLC
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           SCOPY, SGEMM, STRMM
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick return if possible
+*
+      IF( M.LE.0 .OR. N.LE.0 )
+     $   RETURN
+*
+      IF( LSAME( TRANS, 'N' ) ) THEN
+         TRANST = 'T'
+      ELSE
+         TRANST = 'N'
+      END IF
+*
+      IF( LSAME( STOREV, 'C' ) ) THEN
+*
+         IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+*           Let  V =  ( V1 )    (first K rows)
+*                     ( V2 )
+*           where  V1  is unit lower triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILASLR( M, K, V, LDV ) )
+               LASTC = ILASLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V  =  (C1**T * V1 + C2**T * V2)  (stored in WORK)
+*
+*              W := C1**T
+*
+               DO 10 J = 1, K
+                  CALL SCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+   10          CONTINUE
+*
+*              W := W * V1
+*
+               CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2**T *V2
+*
+                  CALL SGEMM( 'Transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL STRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - V2 * W**T
+*
+                  CALL SGEMM( 'No transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K,
+     $                 -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
+     $                 C( K+1, 1 ), LDC )
+               END IF
+*
+*              W := W * V1**T
+*
+               CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W**T
+*
+               DO 30 J = 1, K
+                  DO 20 I = 1, LASTC
+                     C( J, I ) = C( J, I ) - WORK( I, J )
+   20             CONTINUE
+   30          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILASLR( N, K, V, LDV ) )
+               LASTC = ILASLR( M, LASTV, C, LDC )
+*
+*              W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
+*
+*              W := C1
+*
+               DO 40 J = 1, K
+                  CALL SCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+   40          CONTINUE
+*
+*              W := W * V1
+*
+               CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2 * V2
+*
+                  CALL SGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL STRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - W * V2**T
+*
+                  CALL SGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, LASTV-K, K,
+     $                 -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
+     $                 C( 1, K+1 ), LDC )
+               END IF
+*
+*              W := W * V1**T
+*
+               CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 60 J = 1, K
+                  DO 50 I = 1, LASTC
+                     C( I, J ) = C( I, J ) - WORK( I, J )
+   50             CONTINUE
+   60          CONTINUE
+            END IF
+*
+         ELSE
+*
+*           Let  V =  ( V1 )
+*                     ( V2 )    (last K rows)
+*           where  V2  is unit upper triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILASLR( M, K, V, LDV ) )
+               LASTC = ILASLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V  =  (C1**T * V1 + C2**T * V2)  (stored in WORK)
+*
+*              W := C2**T
+*
+               DO 70 J = 1, K
+                  CALL SCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+     $                 WORK( 1, J ), 1 )
+   70          CONTINUE
+*
+*              W := W * V2
+*
+               CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1**T*V1
+*
+                  CALL SGEMM( 'Transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL STRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - V1 * W**T
+*
+                  CALL SGEMM( 'No transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2**T
+*
+               CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W**T
+*
+               DO 90 J = 1, K
+                  DO 80 I = 1, LASTC
+                     C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J)
+   80             CONTINUE
+   90          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILASLR( N, K, V, LDV ) )
+               LASTC = ILASLR( M, LASTV, C, LDC )
+*
+*              W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
+*
+*              W := C2
+*
+               DO 100 J = 1, K
+                  CALL SCOPY( LASTC, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
+  100          CONTINUE
+*
+*              W := W * V2
+*
+               CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1 * V1
+*
+                  CALL SGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL STRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - W * V1**T
+*
+                  CALL SGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2**T
+*
+               CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W
+*
+               DO 120 J = 1, K
+                  DO 110 I = 1, LASTC
+                     C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - WORK(I, J)
+  110             CONTINUE
+  120          CONTINUE
+            END IF
+         END IF
+*
+      ELSE IF( LSAME( STOREV, 'R' ) ) THEN
+*
+         IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+*           Let  V =  ( V1  V2 )    (V1: first K columns)
+*           where  V1  is unit upper triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILASLC( K, M, V, LDV ) )
+               LASTC = ILASLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V**T  =  (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+*
+*              W := C1**T
+*
+               DO 130 J = 1, K
+                  CALL SCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+  130          CONTINUE
+*
+*              W := W * V1**T
+*
+               CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2**T*V2**T
+*
+                  CALL SGEMM( 'Transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL STRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V**T * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - V2**T * W**T
+*
+                  CALL SGEMM( 'Transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K,
+     $                 -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
+     $                 ONE, C( K+1, 1 ), LDC )
+               END IF
+*
+*              W := W * V1
+*
+               CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W**T
+*
+               DO 150 J = 1, K
+                  DO 140 I = 1, LASTC
+                     C( J, I ) = C( J, I ) - WORK( I, J )
+  140             CONTINUE
+  150          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILASLC( K, N, V, LDV ) )
+               LASTC = ILASLR( M, LASTV, C, LDC )
+*
+*              W := C * V**T  =  (C1*V1**T + C2*V2**T)  (stored in WORK)
+*
+*              W := C1
+*
+               DO 160 J = 1, K
+                  CALL SCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+  160          CONTINUE
+*
+*              W := W * V1**T
+*
+               CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2 * V2**T
+*
+                  CALL SGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL STRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - W * V2
+*
+                  CALL SGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, LASTV-K, K,
+     $                 -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
+     $                 ONE, C( 1, K+1 ), LDC )
+               END IF
+*
+*              W := W * V1
+*
+               CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 180 J = 1, K
+                  DO 170 I = 1, LASTC
+                     C( I, J ) = C( I, J ) - WORK( I, J )
+  170             CONTINUE
+  180          CONTINUE
+*
+            END IF
+*
+         ELSE
+*
+*           Let  V =  ( V1  V2 )    (V2: last K columns)
+*           where  V2  is unit lower triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**T * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILASLC( K, M, V, LDV ) )
+               LASTC = ILASLC( LASTV, N, C, LDC )
+*
+*              W := C**T * V**T  =  (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+*
+*              W := C2**T
+*
+               DO 190 J = 1, K
+                  CALL SCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+     $                 WORK( 1, J ), 1 )
+  190          CONTINUE
+*
+*              W := W * V2**T
+*
+               CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1**T * V1**T
+*
+                  CALL SGEMM( 'Transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**T  or  W * T
+*
+               CALL STRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V**T * W**T
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - V1**T * W**T
+*
+                  CALL SGEMM( 'Transpose', 'Transpose',
+     $                 LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2
+*
+               CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W**T
+*
+               DO 210 J = 1, K
+                  DO 200 I = 1, LASTC
+                     C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J)
+  200             CONTINUE
+  210          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**T  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILASLC( K, N, V, LDV ) )
+               LASTC = ILASLR( M, LASTV, C, LDC )
+*
+*              W := C * V**T  =  (C1*V1**T + C2*V2**T)  (stored in WORK)
+*
+*              W := C2
+*
+               DO 220 J = 1, K
+                  CALL SCOPY( LASTC, C( 1, LASTV-K+J ), 1,
+     $                 WORK( 1, J ), 1 )
+  220          CONTINUE
+*
+*              W := W * V2**T
+*
+               CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1 * V1**T
+*
+                  CALL SGEMM( 'No transpose', 'Transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**T
+*
+               CALL STRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - W * V1
+*
+                  CALL SGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2
+*
+               CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 240 J = 1, K
+                  DO 230 I = 1, LASTC
+                     C( I, LASTV-K+J ) = C( I, LASTV-K+J )
+     $                    - WORK( I, J )
+  230             CONTINUE
+  240          CONTINUE
+*
+            END IF
+*
+         END IF
+      END IF
+*
+      RETURN
+*
+*     End of SLARFB
+*
+      END
diff --git a/include/eigen/lapack/slarft.f b/include/eigen/lapack/slarft.f
new file mode 100644
index 0000000000000000000000000000000000000000..30b0668e4f7e59fd3fb5015a21fe9529c9666a98
--- /dev/null
+++ b/include/eigen/lapack/slarft.f
@@ -0,0 +1,326 @@
+*> \brief \b SLARFT
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLARFT + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slarft.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slarft.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slarft.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE SLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          DIRECT, STOREV
+*       INTEGER            K, LDT, LDV, N
+*       ..
+*       .. Array Arguments ..
+*       REAL               T( LDT, * ), TAU( * ), V( LDV, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLARFT forms the triangular factor T of a real block reflector H
+*> of order n, which is defined as a product of k elementary reflectors.
+*>
+*> If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
+*>
+*> If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular.
+*>
+*> If STOREV = 'C', the vector which defines the elementary reflector
+*> H(i) is stored in the i-th column of the array V, and
+*>
+*>    H  =  I - V * T * V**T
+*>
+*> If STOREV = 'R', the vector which defines the elementary reflector
+*> H(i) is stored in the i-th row of the array V, and
+*>
+*>    H  =  I - V**T * T * V
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] DIRECT
+*> \verbatim
+*>          DIRECT is CHARACTER*1
+*>          Specifies the order in which the elementary reflectors are
+*>          multiplied to form the block reflector:
+*>          = 'F': H = H(1) H(2) . . . H(k) (Forward)
+*>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
+*> \endverbatim
+*>
+*> \param[in] STOREV
+*> \verbatim
+*>          STOREV is CHARACTER*1
+*>          Specifies how the vectors which define the elementary
+*>          reflectors are stored (see also Further Details):
+*>          = 'C': columnwise
+*>          = 'R': rowwise
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the block reflector H. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*>          K is INTEGER
+*>          The order of the triangular factor T (= the number of
+*>          elementary reflectors). K >= 1.
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*>          V is REAL array, dimension
+*>                               (LDV,K) if STOREV = 'C'
+*>                               (LDV,N) if STOREV = 'R'
+*>          The matrix V. See further details.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*>          LDV is INTEGER
+*>          The leading dimension of the array V.
+*>          If STOREV = 'C', LDV >= max(1,N); if STOREV = 'R', LDV >= K.
+*> \endverbatim
+*>
+*> \param[in] TAU
+*> \verbatim
+*>          TAU is REAL array, dimension (K)
+*>          TAU(i) must contain the scalar factor of the elementary
+*>          reflector H(i).
+*> \endverbatim
+*>
+*> \param[out] T
+*> \verbatim
+*>          T is REAL array, dimension (LDT,K)
+*>          The k by k triangular factor T of the block reflector.
+*>          If DIRECT = 'F', T is upper triangular; if DIRECT = 'B', T is
+*>          lower triangular. The rest of the array is not used.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*>          LDT is INTEGER
+*>          The leading dimension of the array T. LDT >= K.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup realOTHERauxiliary
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The shape of the matrix V and the storage of the vectors which define
+*>  the H(i) is best illustrated by the following example with n = 5 and
+*>  k = 3. The elements equal to 1 are not stored.
+*>
+*>  DIRECT = 'F' and STOREV = 'C':         DIRECT = 'F' and STOREV = 'R':
+*>
+*>               V = (  1       )                 V = (  1 v1 v1 v1 v1 )
+*>                   ( v1  1    )                     (     1 v2 v2 v2 )
+*>                   ( v1 v2  1 )                     (        1 v3 v3 )
+*>                   ( v1 v2 v3 )
+*>                   ( v1 v2 v3 )
+*>
+*>  DIRECT = 'B' and STOREV = 'C':         DIRECT = 'B' and STOREV = 'R':
+*>
+*>               V = ( v1 v2 v3 )                 V = ( v1 v1  1       )
+*>                   ( v1 v2 v3 )                     ( v2 v2 v2  1    )
+*>                   (  1 v2 v3 )                     ( v3 v3 v3 v3  1 )
+*>                   (     1 v3 )
+*>                   (        1 )
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE SLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+*
+*  -- LAPACK auxiliary routine (version 3.4.1) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*     .. Scalar Arguments ..
+      CHARACTER          DIRECT, STOREV
+      INTEGER            K, LDT, LDV, N
+*     ..
+*     .. Array Arguments ..
+      REAL               T( LDT, * ), TAU( * ), V( LDV, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ONE, ZERO
+      PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER            I, J, PREVLASTV, LASTV
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           SGEMV, STRMV
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      EXTERNAL           LSAME
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick return if possible
+*
+      IF( N.EQ.0 )
+     $   RETURN
+*
+      IF( LSAME( DIRECT, 'F' ) ) THEN
+         PREVLASTV = N
+         DO I = 1, K
+            PREVLASTV = MAX( I, PREVLASTV )
+            IF( TAU( I ).EQ.ZERO ) THEN
+*
+*              H(i)  =  I
+*
+               DO J = 1, I
+                  T( J, I ) = ZERO
+               END DO
+            ELSE
+*
+*              general case
+*
+               IF( LSAME( STOREV, 'C' ) ) THEN
+*                 Skip any trailing zeros.
+                  DO LASTV = N, I+1, -1
+                     IF( V( LASTV, I ).NE.ZERO ) EXIT
+                  END DO
+                  DO J = 1, I-1
+                     T( J, I ) = -TAU( I ) * V( I , J )
+                  END DO   
+                  J = MIN( LASTV, PREVLASTV )
+*
+*                 T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)**T * V(i:j,i)
+*
+                  CALL SGEMV( 'Transpose', J-I, I-1, -TAU( I ),
+     $                        V( I+1, 1 ), LDV, V( I+1, I ), 1, ONE,
+     $                        T( 1, I ), 1 )
+               ELSE
+*                 Skip any trailing zeros.
+                  DO LASTV = N, I+1, -1
+                     IF( V( I, LASTV ).NE.ZERO ) EXIT
+                  END DO
+                  DO J = 1, I-1
+                     T( J, I ) = -TAU( I ) * V( J , I )
+                  END DO   
+                  J = MIN( LASTV, PREVLASTV )
+*
+*                 T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)**T
+*
+                  CALL SGEMV( 'No transpose', I-1, J-I, -TAU( I ),
+     $                        V( 1, I+1 ), LDV, V( I, I+1 ), LDV, 
+     $                        ONE, T( 1, I ), 1 )
+               END IF
+*
+*              T(1:i-1,i) := T(1:i-1,1:i-1) * T(1:i-1,i)
+*
+               CALL STRMV( 'Upper', 'No transpose', 'Non-unit', I-1, T,
+     $                     LDT, T( 1, I ), 1 )
+               T( I, I ) = TAU( I )
+               IF( I.GT.1 ) THEN
+                  PREVLASTV = MAX( PREVLASTV, LASTV )
+               ELSE
+                  PREVLASTV = LASTV
+               END IF
+            END IF
+         END DO
+      ELSE
+         PREVLASTV = 1
+         DO I = K, 1, -1
+            IF( TAU( I ).EQ.ZERO ) THEN
+*
+*              H(i)  =  I
+*
+               DO J = I, K
+                  T( J, I ) = ZERO
+               END DO
+            ELSE
+*
+*              general case
+*
+               IF( I.LT.K ) THEN
+                  IF( LSAME( STOREV, 'C' ) ) THEN
+*                    Skip any leading zeros.
+                     DO LASTV = 1, I-1
+                        IF( V( LASTV, I ).NE.ZERO ) EXIT
+                     END DO
+                     DO J = I+1, K
+                        T( J, I ) = -TAU( I ) * V( N-K+I , J )
+                     END DO   
+                     J = MAX( LASTV, PREVLASTV )
+*
+*                    T(i+1:k,i) = -tau(i) * V(j:n-k+i,i+1:k)**T * V(j:n-k+i,i)
+*
+                     CALL SGEMV( 'Transpose', N-K+I-J, K-I, -TAU( I ),
+     $                           V( J, I+1 ), LDV, V( J, I ), 1, ONE,
+     $                           T( I+1, I ), 1 )
+                  ELSE
+*                    Skip any leading zeros.
+                     DO LASTV = 1, I-1
+                        IF( V( I, LASTV ).NE.ZERO ) EXIT
+                     END DO
+                     DO J = I+1, K
+                        T( J, I ) = -TAU( I ) * V( J, N-K+I )
+                     END DO   
+                     J = MAX( LASTV, PREVLASTV )
+*
+*                    T(i+1:k,i) = -tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)**T
+*
+                     CALL SGEMV( 'No transpose', K-I, N-K+I-J,
+     $                    -TAU( I ), V( I+1, J ), LDV, V( I, J ), LDV,
+     $                    ONE, T( I+1, I ), 1 )
+                  END IF
+*
+*                 T(i+1:k,i) := T(i+1:k,i+1:k) * T(i+1:k,i)
+*
+                  CALL STRMV( 'Lower', 'No transpose', 'Non-unit', K-I,
+     $                        T( I+1, I+1 ), LDT, T( I+1, I ), 1 )
+                  IF( I.GT.1 ) THEN
+                     PREVLASTV = MIN( PREVLASTV, LASTV )
+                  ELSE
+                     PREVLASTV = LASTV
+                  END IF
+               END IF
+               T( I, I ) = TAU( I )
+            END IF
+         END DO
+      END IF
+      RETURN
+*
+*     End of SLARFT
+*
+      END
diff --git a/include/eigen/lapack/svd.cpp b/include/eigen/lapack/svd.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..77b302b6b4bac1c063b77d982f81a1340f6f3d37
--- /dev/null
+++ b/include/eigen/lapack/svd.cpp
@@ -0,0 +1,138 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2014 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "lapack_common.h"
+#include <Eigen/SVD>
+
+// computes the singular values/vectors a general M-by-N matrix A using divide-and-conquer
+EIGEN_LAPACK_FUNC(gesdd,(char *jobz, int *m, int* n, Scalar* a, int *lda, RealScalar *s, Scalar *u, int *ldu, Scalar *vt, int *ldvt, Scalar* /*work*/, int* lwork,
+                         EIGEN_LAPACK_ARG_IF_COMPLEX(RealScalar */*rwork*/) int * /*iwork*/, int *info))
+{
+  // TODO exploit the work buffer
+  bool query_size = *lwork==-1;
+  int diag_size = (std::min)(*m,*n);
+  
+  *info = 0;
+        if(*jobz!='A' && *jobz!='S' && *jobz!='O' && *jobz!='N')  *info = -1;
+  else  if(*m<0)                                                  *info = -2;
+  else  if(*n<0)                                                  *info = -3;
+  else  if(*lda<std::max(1,*m))                                   *info = -5;
+  else  if(*lda<std::max(1,*m))                                   *info = -8;
+  else  if(*ldu <1 || (*jobz=='A' && *ldu <*m)
+                   || (*jobz=='O' && *m<*n && *ldu<*m))           *info = -8;
+  else  if(*ldvt<1 || (*jobz=='A' && *ldvt<*n)
+                   || (*jobz=='S' && *ldvt<diag_size)
+                   || (*jobz=='O' && *m>=*n && *ldvt<*n))         *info = -10;
+  
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"GESDD ", &e, 6);
+  }
+  
+  if(query_size)
+  {
+    *lwork = 0;
+    return 0;
+  }
+  
+  if(*n==0 || *m==0)
+    return 0;
+  
+  PlainMatrixType mat(*m,*n);
+  mat = matrix(a,*m,*n,*lda);
+  
+  int option = *jobz=='A' ? ComputeFullU|ComputeFullV
+             : *jobz=='S' ? ComputeThinU|ComputeThinV
+             : *jobz=='O' ? ComputeThinU|ComputeThinV
+             : 0;
+
+  BDCSVD<PlainMatrixType> svd(mat,option);
+  
+  make_vector(s,diag_size) = svd.singularValues().head(diag_size);
+
+  if(*jobz=='A')
+  {
+    matrix(u,*m,*m,*ldu)   = svd.matrixU();
+    matrix(vt,*n,*n,*ldvt) = svd.matrixV().adjoint();
+  }
+  else if(*jobz=='S')
+  {
+    matrix(u,*m,diag_size,*ldu)   = svd.matrixU();
+    matrix(vt,diag_size,*n,*ldvt) = svd.matrixV().adjoint();
+  }
+  else if(*jobz=='O' && *m>=*n)
+  {
+    matrix(a,*m,*n,*lda)   = svd.matrixU();
+    matrix(vt,*n,*n,*ldvt) = svd.matrixV().adjoint();
+  }
+  else if(*jobz=='O')
+  {
+    matrix(u,*m,*m,*ldu)        = svd.matrixU();
+    matrix(a,diag_size,*n,*lda) = svd.matrixV().adjoint();
+  }
+    
+  return 0;
+}
+
+// computes the singular values/vectors a general M-by-N matrix A using two sided jacobi algorithm
+EIGEN_LAPACK_FUNC(gesvd,(char *jobu, char *jobv, int *m, int* n, Scalar* a, int *lda, RealScalar *s, Scalar *u, int *ldu, Scalar *vt, int *ldvt, Scalar* /*work*/, int* lwork,
+                         EIGEN_LAPACK_ARG_IF_COMPLEX(RealScalar */*rwork*/) int *info))
+{
+  // TODO exploit the work buffer
+  bool query_size = *lwork==-1;
+  int diag_size = (std::min)(*m,*n);
+  
+  *info = 0;
+        if( *jobu!='A' && *jobu!='S' && *jobu!='O' && *jobu!='N') *info = -1;
+  else  if((*jobv!='A' && *jobv!='S' && *jobv!='O' && *jobv!='N')
+           || (*jobu=='O' && *jobv=='O'))                         *info = -2;
+  else  if(*m<0)                                                  *info = -3;
+  else  if(*n<0)                                                  *info = -4;
+  else  if(*lda<std::max(1,*m))                                   *info = -6;
+  else  if(*ldu <1 || ((*jobu=='A' || *jobu=='S') && *ldu<*m))    *info = -9;
+  else  if(*ldvt<1 || (*jobv=='A' && *ldvt<*n)
+                   || (*jobv=='S' && *ldvt<diag_size))            *info = -11;
+  
+  if(*info!=0)
+  {
+    int e = -*info;
+    return xerbla_(SCALAR_SUFFIX_UP"GESVD ", &e, 6);
+  }
+  
+  if(query_size)
+  {
+    *lwork = 0;
+    return 0;
+  }
+  
+  if(*n==0 || *m==0)
+    return 0;
+  
+  PlainMatrixType mat(*m,*n);
+  mat = matrix(a,*m,*n,*lda);
+  
+  int option = (*jobu=='A' ? ComputeFullU : *jobu=='S' || *jobu=='O' ? ComputeThinU : 0)
+             | (*jobv=='A' ? ComputeFullV : *jobv=='S' || *jobv=='O' ? ComputeThinV : 0);
+  
+  JacobiSVD<PlainMatrixType> svd(mat,option);
+  
+  make_vector(s,diag_size) = svd.singularValues().head(diag_size);
+  {
+        if(*jobu=='A') matrix(u,*m,*m,*ldu)           = svd.matrixU();
+  else  if(*jobu=='S') matrix(u,*m,diag_size,*ldu)    = svd.matrixU();
+  else  if(*jobu=='O') matrix(a,*m,diag_size,*lda)    = svd.matrixU();
+  }
+  {
+        if(*jobv=='A') matrix(vt,*n,*n,*ldvt)         = svd.matrixV().adjoint();
+  else  if(*jobv=='S') matrix(vt,diag_size,*n,*ldvt)  = svd.matrixV().adjoint();
+  else  if(*jobv=='O') matrix(a,diag_size,*n,*lda)    = svd.matrixV().adjoint();
+  }
+  return 0;
+}
diff --git a/include/eigen/lapack/zlacgv.f b/include/eigen/lapack/zlacgv.f
new file mode 100644
index 0000000000000000000000000000000000000000..16c2e2ed949d50fe908c95db8dbfd87eb8872960
--- /dev/null
+++ b/include/eigen/lapack/zlacgv.f
@@ -0,0 +1,116 @@
+*> \brief \b ZLACGV
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZLACGV + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlacgv.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlacgv.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlacgv.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZLACGV( N, X, INCX )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            INCX, N
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX*16         X( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZLACGV conjugates a complex vector of length N.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The length of the vector X.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] X
+*> \verbatim
+*>          X is COMPLEX*16 array, dimension
+*>                         (1+(N-1)*abs(INCX))
+*>          On entry, the vector of length N to be conjugated.
+*>          On exit, X is overwritten with conjg(X).
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*>          INCX is INTEGER
+*>          The spacing between successive elements of X.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE ZLACGV( N, X, INCX )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            INCX, N
+*     ..
+*     .. Array Arguments ..
+      COMPLEX*16         X( * )
+*     ..
+*
+* =====================================================================
+*
+*     .. Local Scalars ..
+      INTEGER            I, IOFF
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          DCONJG
+*     ..
+*     .. Executable Statements ..
+*
+      IF( INCX.EQ.1 ) THEN
+         DO 10 I = 1, N
+            X( I ) = DCONJG( X( I ) )
+   10    CONTINUE
+      ELSE
+         IOFF = 1
+         IF( INCX.LT.0 )
+     $      IOFF = 1 - ( N-1 )*INCX
+         DO 20 I = 1, N
+            X( IOFF ) = DCONJG( X( IOFF ) )
+            IOFF = IOFF + INCX
+   20    CONTINUE
+      END IF
+      RETURN
+*
+*     End of ZLACGV
+*
+      END
diff --git a/include/eigen/lapack/zlarfb.f b/include/eigen/lapack/zlarfb.f
new file mode 100644
index 0000000000000000000000000000000000000000..30fc4b9407aedb3025a490959b18a5298067f6ed
--- /dev/null
+++ b/include/eigen/lapack/zlarfb.f
@@ -0,0 +1,774 @@
+*> \brief \b ZLARFB
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZLARFB + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfb.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarfb.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarfb.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+*                          T, LDT, C, LDC, WORK, LDWORK )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          DIRECT, SIDE, STOREV, TRANS
+*       INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX*16         C( LDC, * ), T( LDT, * ), V( LDV, * ),
+*      $                   WORK( LDWORK, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZLARFB applies a complex block reflector H or its transpose H**H to a
+*> complex M-by-N matrix C, from either the left or the right.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*>          SIDE is CHARACTER*1
+*>          = 'L': apply H or H**H from the Left
+*>          = 'R': apply H or H**H from the Right
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*>          TRANS is CHARACTER*1
+*>          = 'N': apply H (No transpose)
+*>          = 'C': apply H**H (Conjugate transpose)
+*> \endverbatim
+*>
+*> \param[in] DIRECT
+*> \verbatim
+*>          DIRECT is CHARACTER*1
+*>          Indicates how H is formed from a product of elementary
+*>          reflectors
+*>          = 'F': H = H(1) H(2) . . . H(k) (Forward)
+*>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
+*> \endverbatim
+*>
+*> \param[in] STOREV
+*> \verbatim
+*>          STOREV is CHARACTER*1
+*>          Indicates how the vectors which define the elementary
+*>          reflectors are stored:
+*>          = 'C': Columnwise
+*>          = 'R': Rowwise
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix C.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*>          K is INTEGER
+*>          The order of the matrix T (= the number of elementary
+*>          reflectors whose product defines the block reflector).
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*>          V is COMPLEX*16 array, dimension
+*>                                (LDV,K) if STOREV = 'C'
+*>                                (LDV,M) if STOREV = 'R' and SIDE = 'L'
+*>                                (LDV,N) if STOREV = 'R' and SIDE = 'R'
+*>          See Further Details.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*>          LDV is INTEGER
+*>          The leading dimension of the array V.
+*>          If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M);
+*>          if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N);
+*>          if STOREV = 'R', LDV >= K.
+*> \endverbatim
+*>
+*> \param[in] T
+*> \verbatim
+*>          T is COMPLEX*16 array, dimension (LDT,K)
+*>          The triangular K-by-K matrix T in the representation of the
+*>          block reflector.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*>          LDT is INTEGER
+*>          The leading dimension of the array T. LDT >= K.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*>          C is COMPLEX*16 array, dimension (LDC,N)
+*>          On entry, the M-by-N matrix C.
+*>          On exit, C is overwritten by H*C or H**H*C or C*H or C*H**H.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*>          LDC is INTEGER
+*>          The leading dimension of the array C. LDC >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is COMPLEX*16 array, dimension (LDWORK,K)
+*> \endverbatim
+*>
+*> \param[in] LDWORK
+*> \verbatim
+*>          LDWORK is INTEGER
+*>          The leading dimension of the array WORK.
+*>          If SIDE = 'L', LDWORK >= max(1,N);
+*>          if SIDE = 'R', LDWORK >= max(1,M).
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERauxiliary
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The shape of the matrix V and the storage of the vectors which define
+*>  the H(i) is best illustrated by the following example with n = 5 and
+*>  k = 3. The elements equal to 1 are not stored; the corresponding
+*>  array elements are modified but restored on exit. The rest of the
+*>  array is not used.
+*>
+*>  DIRECT = 'F' and STOREV = 'C':         DIRECT = 'F' and STOREV = 'R':
+*>
+*>               V = (  1       )                 V = (  1 v1 v1 v1 v1 )
+*>                   ( v1  1    )                     (     1 v2 v2 v2 )
+*>                   ( v1 v2  1 )                     (        1 v3 v3 )
+*>                   ( v1 v2 v3 )
+*>                   ( v1 v2 v3 )
+*>
+*>  DIRECT = 'B' and STOREV = 'C':         DIRECT = 'B' and STOREV = 'R':
+*>
+*>               V = ( v1 v2 v3 )                 V = ( v1 v1  1       )
+*>                   ( v1 v2 v3 )                     ( v2 v2 v2  1    )
+*>                   (  1 v2 v3 )                     ( v3 v3 v3 v3  1 )
+*>                   (     1 v3 )
+*>                   (        1 )
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+     $                   T, LDT, C, LDC, WORK, LDWORK )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      CHARACTER          DIRECT, SIDE, STOREV, TRANS
+      INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
+*     ..
+*     .. Array Arguments ..
+      COMPLEX*16         C( LDC, * ), T( LDT, * ), V( LDV, * ),
+     $                   WORK( LDWORK, * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      COMPLEX*16         ONE
+      PARAMETER          ( ONE = ( 1.0D+0, 0.0D+0 ) )
+*     ..
+*     .. Local Scalars ..
+      CHARACTER          TRANST
+      INTEGER            I, J, LASTV, LASTC
+*     ..
+*     .. External Functions ..
+      LOGICAL            LSAME
+      INTEGER            ILAZLR, ILAZLC
+      EXTERNAL           LSAME, ILAZLR, ILAZLC
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           ZCOPY, ZGEMM, ZLACGV, ZTRMM
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          DCONJG
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick return if possible
+*
+      IF( M.LE.0 .OR. N.LE.0 )
+     $   RETURN
+*
+      IF( LSAME( TRANS, 'N' ) ) THEN
+         TRANST = 'C'
+      ELSE
+         TRANST = 'N'
+      END IF
+*
+      IF( LSAME( STOREV, 'C' ) ) THEN
+*
+         IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+*           Let  V =  ( V1 )    (first K rows)
+*                     ( V2 )
+*           where  V1  is unit lower triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**H * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILAZLR( M, K, V, LDV ) )
+               LASTC = ILAZLC( LASTV, N, C, LDC )
+*
+*              W := C**H * V  =  (C1**H * V1 + C2**H * V2)  (stored in WORK)
+*
+*              W := C1**H
+*
+               DO 10 J = 1, K
+                  CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+                  CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+   10          CONTINUE
+*
+*              W := W * V1
+*
+               CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2**H *V2
+*
+                  CALL ZGEMM( 'Conjugate transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K, ONE, C( K+1, 1 ), LDC,
+     $                 V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**H  or  W * T
+*
+               CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V * W**H
+*
+               IF( M.GT.K ) THEN
+*
+*                 C2 := C2 - V2 * W**H
+*
+                  CALL ZGEMM( 'No transpose', 'Conjugate transpose',
+     $                 LASTV-K, LASTC, K,
+     $                 -ONE, V( K+1, 1 ), LDV, WORK, LDWORK,
+     $                 ONE, C( K+1, 1 ), LDC )
+               END IF
+*
+*              W := W * V1**H
+*
+               CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
+     $              'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W**H
+*
+               DO 30 J = 1, K
+                  DO 20 I = 1, LASTC
+                     C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) )
+   20             CONTINUE
+   30          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**H  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILAZLR( N, K, V, LDV ) )
+               LASTC = ILAZLR( M, LASTV, C, LDC )
+*
+*              W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
+*
+*              W := C1
+*
+               DO 40 J = 1, K
+                  CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+   40          CONTINUE
+*
+*              W := W * V1
+*
+               CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2 * V2
+*
+                  CALL ZGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**H
+*
+               CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V**H
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - W * V2**H
+*
+                  CALL ZGEMM( 'No transpose', 'Conjugate transpose',
+     $                 LASTC, LASTV-K, K,
+     $                 -ONE, WORK, LDWORK, V( K+1, 1 ), LDV,
+     $                 ONE, C( 1, K+1 ), LDC )
+               END IF
+*
+*              W := W * V1**H
+*
+               CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
+     $              'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 60 J = 1, K
+                  DO 50 I = 1, LASTC
+                     C( I, J ) = C( I, J ) - WORK( I, J )
+   50             CONTINUE
+   60          CONTINUE
+            END IF
+*
+         ELSE
+*
+*           Let  V =  ( V1 )
+*                     ( V2 )    (last K rows)
+*           where  V2  is unit upper triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**H * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILAZLR( M, K, V, LDV ) )
+               LASTC = ILAZLC( LASTV, N, C, LDC )
+*
+*              W := C**H * V  =  (C1**H * V1 + C2**H * V2)  (stored in WORK)
+*
+*              W := C2**H
+*
+               DO 70 J = 1, K
+                  CALL ZCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+     $                 WORK( 1, J ), 1 )
+                  CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+   70          CONTINUE
+*
+*              W := W * V2
+*
+               CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1**H*V1
+*
+                  CALL ZGEMM( 'Conjugate transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C, LDC, V, LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**H  or  W * T
+*
+               CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V * W**H
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - V1 * W**H
+*
+                  CALL ZGEMM( 'No transpose', 'Conjugate transpose',
+     $                 LASTV-K, LASTC, K,
+     $                 -ONE, V, LDV, WORK, LDWORK,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2**H
+*
+               CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
+     $              'Unit', LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W**H
+*
+               DO 90 J = 1, K
+                  DO 80 I = 1, LASTC
+                     C( LASTV-K+J, I ) = C( LASTV-K+J, I ) -
+     $                               DCONJG( WORK( I, J ) )
+   80             CONTINUE
+   90          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**H  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILAZLR( N, K, V, LDV ) )
+               LASTC = ILAZLR( M, LASTV, C, LDC )
+*
+*              W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
+*
+*              W := C2
+*
+               DO 100 J = 1, K
+                  CALL ZCOPY( LASTC, C( 1, LASTV-K+J ), 1,
+     $                 WORK( 1, J ), 1 )
+  100          CONTINUE
+*
+*              W := W * V2
+*
+               CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1 * V1
+*
+                  CALL ZGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, K, LASTV-K,
+     $                 ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**H
+*
+               CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V**H
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - W * V1**H
+*
+                  CALL ZGEMM( 'No transpose', 'Conjugate transpose',
+     $                 LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2**H
+*
+               CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
+     $              'Unit', LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W
+*
+               DO 120 J = 1, K
+                  DO 110 I = 1, LASTC
+                     C( I, LASTV-K+J ) = C( I, LASTV-K+J )
+     $                    - WORK( I, J )
+  110             CONTINUE
+  120          CONTINUE
+            END IF
+         END IF
+*
+      ELSE IF( LSAME( STOREV, 'R' ) ) THEN
+*
+         IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+*           Let  V =  ( V1  V2 )    (V1: first K columns)
+*           where  V1  is unit upper triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**H * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILAZLC( K, M, V, LDV ) )
+               LASTC = ILAZLC( LASTV, N, C, LDC )
+*
+*              W := C**H * V**H  =  (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
+*
+*              W := C1**H
+*
+               DO 130 J = 1, K
+                  CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+                  CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+  130          CONTINUE
+*
+*              W := W * V1**H
+*
+               CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
+     $                     'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2**H*V2**H
+*
+                  CALL ZGEMM( 'Conjugate transpose',
+     $                 'Conjugate transpose', LASTC, K, LASTV-K,
+     $                 ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
+     $                 ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**H  or  W * T
+*
+               CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V**H * W**H
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - V2**H * W**H
+*
+                  CALL ZGEMM( 'Conjugate transpose',
+     $                 'Conjugate transpose', LASTV-K, LASTC, K,
+     $                 -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
+     $                 ONE, C( K+1, 1 ), LDC )
+               END IF
+*
+*              W := W * V1
+*
+               CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W**H
+*
+               DO 150 J = 1, K
+                  DO 140 I = 1, LASTC
+                     C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) )
+  140             CONTINUE
+  150          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**H  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILAZLC( K, N, V, LDV ) )
+               LASTC = ILAZLR( M, LASTV, C, LDC )
+*
+*              W := C * V**H  =  (C1*V1**H + C2*V2**H)  (stored in WORK)
+*
+*              W := C1
+*
+               DO 160 J = 1, K
+                  CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+  160          CONTINUE
+*
+*              W := W * V1**H
+*
+               CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
+     $                     'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C2 * V2**H
+*
+                  CALL ZGEMM( 'No transpose', 'Conjugate transpose',
+     $                 LASTC, K, LASTV-K, ONE, C( 1, K+1 ), LDC,
+     $                 V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**H
+*
+               CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C2 := C2 - W * V2
+*
+                  CALL ZGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, LASTV-K, K,
+     $                 -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
+     $                 ONE, C( 1, K+1 ), LDC )
+               END IF
+*
+*              W := W * V1
+*
+               CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 180 J = 1, K
+                  DO 170 I = 1, LASTC
+                     C( I, J ) = C( I, J ) - WORK( I, J )
+  170             CONTINUE
+  180          CONTINUE
+*
+            END IF
+*
+         ELSE
+*
+*           Let  V =  ( V1  V2 )    (V2: last K columns)
+*           where  V2  is unit lower triangular.
+*
+            IF( LSAME( SIDE, 'L' ) ) THEN
+*
+*              Form  H * C  or  H**H * C  where  C = ( C1 )
+*                                                    ( C2 )
+*
+               LASTV = MAX( K, ILAZLC( K, M, V, LDV ) )
+               LASTC = ILAZLC( LASTV, N, C, LDC )
+*
+*              W := C**H * V**H  =  (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
+*
+*              W := C2**H
+*
+               DO 190 J = 1, K
+                  CALL ZCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+     $                 WORK( 1, J ), 1 )
+                  CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+  190          CONTINUE
+*
+*              W := W * V2**H
+*
+               CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
+     $              'Unit', LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1**H * V1**H
+*
+                  CALL ZGEMM( 'Conjugate transpose',
+     $                 'Conjugate transpose', LASTC, K, LASTV-K,
+     $                 ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+               END IF
+*
+*              W := W * T**H  or  W * T
+*
+               CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - V**H * W**H
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - V1**H * W**H
+*
+                  CALL ZGEMM( 'Conjugate transpose',
+     $                 'Conjugate transpose', LASTV-K, LASTC, K,
+     $                 -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC )
+               END IF
+*
+*              W := W * V2
+*
+               CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C2 := C2 - W**H
+*
+               DO 210 J = 1, K
+                  DO 200 I = 1, LASTC
+                     C( LASTV-K+J, I ) = C( LASTV-K+J, I ) -
+     $                               DCONJG( WORK( I, J ) )
+  200             CONTINUE
+  210          CONTINUE
+*
+            ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+*              Form  C * H  or  C * H**H  where  C = ( C1  C2 )
+*
+               LASTV = MAX( K, ILAZLC( K, N, V, LDV ) )
+               LASTC = ILAZLR( M, LASTV, C, LDC )
+*
+*              W := C * V**H  =  (C1*V1**H + C2*V2**H)  (stored in WORK)
+*
+*              W := C2
+*
+               DO 220 J = 1, K
+                  CALL ZCOPY( LASTC, C( 1, LASTV-K+J ), 1,
+     $                 WORK( 1, J ), 1 )
+  220          CONTINUE
+*
+*              W := W * V2**H
+*
+               CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
+     $              'Unit', LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+               IF( LASTV.GT.K ) THEN
+*
+*                 W := W + C1 * V1**H
+*
+                  CALL ZGEMM( 'No transpose', 'Conjugate transpose',
+     $                 LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, ONE,
+     $                 WORK, LDWORK )
+               END IF
+*
+*              W := W * T  or  W * T**H
+*
+               CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+     $              LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+*              C := C - W * V
+*
+               IF( LASTV.GT.K ) THEN
+*
+*                 C1 := C1 - W * V1
+*
+                  CALL ZGEMM( 'No transpose', 'No transpose',
+     $                 LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+     $                 ONE, C, LDC )
+               END IF
+*
+*              W := W * V2
+*
+               CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+     $              LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+     $              WORK, LDWORK )
+*
+*              C1 := C1 - W
+*
+               DO 240 J = 1, K
+                  DO 230 I = 1, LASTC
+                     C( I, LASTV-K+J ) = C( I, LASTV-K+J )
+     $                    - WORK( I, J )
+  230             CONTINUE
+  240          CONTINUE
+*
+            END IF
+*
+         END IF
+      END IF
+*
+      RETURN
+*
+*     End of ZLARFB
+*
+      END
diff --git a/include/eigen/lapack/zlarfg.f b/include/eigen/lapack/zlarfg.f
new file mode 100644
index 0000000000000000000000000000000000000000..a90ae9f745cbb13dff9f16efa0216ab78e4bc090
--- /dev/null
+++ b/include/eigen/lapack/zlarfg.f
@@ -0,0 +1,203 @@
+*> \brief \b ZLARFG
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZLARFG + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfg.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarfg.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarfg.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZLARFG( N, ALPHA, X, INCX, TAU )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            INCX, N
+*       COMPLEX*16         ALPHA, TAU
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX*16         X( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZLARFG generates a complex elementary reflector H of order n, such
+*> that
+*>
+*>       H**H * ( alpha ) = ( beta ),   H**H * H = I.
+*>              (   x   )   (   0  )
+*>
+*> where alpha and beta are scalars, with beta real, and x is an
+*> (n-1)-element complex vector. H is represented in the form
+*>
+*>       H = I - tau * ( 1 ) * ( 1 v**H ) ,
+*>                     ( v )
+*>
+*> where tau is a complex scalar and v is a complex (n-1)-element
+*> vector. Note that H is not hermitian.
+*>
+*> If the elements of x are all zero and alpha is real, then tau = 0
+*> and H is taken to be the unit matrix.
+*>
+*> Otherwise  1 <= real(tau) <= 2  and  abs(tau-1) <= 1 .
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the elementary reflector.
+*> \endverbatim
+*>
+*> \param[in,out] ALPHA
+*> \verbatim
+*>          ALPHA is COMPLEX*16
+*>          On entry, the value alpha.
+*>          On exit, it is overwritten with the value beta.
+*> \endverbatim
+*>
+*> \param[in,out] X
+*> \verbatim
+*>          X is COMPLEX*16 array, dimension
+*>                         (1+(N-2)*abs(INCX))
+*>          On entry, the vector x.
+*>          On exit, it is overwritten with the vector v.
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*>          INCX is INTEGER
+*>          The increment between elements of X. INCX > 0.
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*>          TAU is COMPLEX*16
+*>          The value tau.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERauxiliary
+*
+*  =====================================================================
+      SUBROUTINE ZLARFG( N, ALPHA, X, INCX, TAU )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER            INCX, N
+      COMPLEX*16         ALPHA, TAU
+*     ..
+*     .. Array Arguments ..
+      COMPLEX*16         X( * )
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION   ONE, ZERO
+      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      INTEGER            J, KNT
+      DOUBLE PRECISION   ALPHI, ALPHR, BETA, RSAFMN, SAFMIN, XNORM
+*     ..
+*     .. External Functions ..
+      DOUBLE PRECISION   DLAMCH, DLAPY3, DZNRM2
+      COMPLEX*16         ZLADIV
+      EXTERNAL           DLAMCH, DLAPY3, DZNRM2, ZLADIV
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS, DBLE, DCMPLX, DIMAG, SIGN
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           ZDSCAL, ZSCAL
+*     ..
+*     .. Executable Statements ..
+*
+      IF( N.LE.0 ) THEN
+         TAU = ZERO
+         RETURN
+      END IF
+*
+      XNORM = DZNRM2( N-1, X, INCX )
+      ALPHR = DBLE( ALPHA )
+      ALPHI = DIMAG( ALPHA )
+*
+      IF( XNORM.EQ.ZERO .AND. ALPHI.EQ.ZERO ) THEN
+*
+*        H  =  I
+*
+         TAU = ZERO
+      ELSE
+*
+*        general case
+*
+         BETA = -SIGN( DLAPY3( ALPHR, ALPHI, XNORM ), ALPHR )
+         SAFMIN = DLAMCH( 'S' ) / DLAMCH( 'E' )
+         RSAFMN = ONE / SAFMIN
+*
+         KNT = 0
+         IF( ABS( BETA ).LT.SAFMIN ) THEN
+*
+*           XNORM, BETA may be inaccurate; scale X and recompute them
+*
+   10       CONTINUE
+            KNT = KNT + 1
+            CALL ZDSCAL( N-1, RSAFMN, X, INCX )
+            BETA = BETA*RSAFMN
+            ALPHI = ALPHI*RSAFMN
+            ALPHR = ALPHR*RSAFMN
+            IF( ABS( BETA ).LT.SAFMIN )
+     $         GO TO 10
+*
+*           New BETA is at most 1, at least SAFMIN
+*
+            XNORM = DZNRM2( N-1, X, INCX )
+            ALPHA = DCMPLX( ALPHR, ALPHI )
+            BETA = -SIGN( DLAPY3( ALPHR, ALPHI, XNORM ), ALPHR )
+         END IF
+         TAU = DCMPLX( ( BETA-ALPHR ) / BETA, -ALPHI / BETA )
+         ALPHA = ZLADIV( DCMPLX( ONE ), ALPHA-BETA )
+         CALL ZSCAL( N-1, ALPHA, X, INCX )
+*
+*        If ALPHA is subnormal, it may lose relative accuracy
+*
+         DO 20 J = 1, KNT
+            BETA = BETA*SAFMIN
+ 20      CONTINUE
+         ALPHA = BETA
+      END IF
+*
+      RETURN
+*
+*     End of ZLARFG
+*
+      END
diff --git a/include/eigen/test/CMakeLists.txt b/include/eigen/test/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7ce260e0e8177b2f6335f3f4472fb00a29af582c
--- /dev/null
+++ b/include/eigen/test/CMakeLists.txt
@@ -0,0 +1,475 @@
+# The file split_test_helper.h was generated at first run,
+# it is now included in test/
+if(EXISTS ${CMAKE_CURRENT_BINARY_DIR}/split_test_helper.h)
+  file(REMOVE ${CMAKE_CURRENT_BINARY_DIR}/split_test_helper.h)
+endif()
+
+# check if we have a Fortran compiler
+include(CheckLanguage)
+check_language(Fortran)
+if(CMAKE_Fortran_COMPILER)
+  enable_language(Fortran)
+  set(EIGEN_Fortran_COMPILER_WORKS ON)
+else()
+  set(EIGEN_Fortran_COMPILER_WORKS OFF)
+  # search for a default Lapack library to complete Eigen's one
+  find_package(LAPACK QUIET)
+endif()
+
+# TODO do the same for EXTERNAL_LAPACK
+option(EIGEN_TEST_EXTERNAL_BLAS "Use external BLAS library for testsuite" OFF)
+if(EIGEN_TEST_EXTERNAL_BLAS)
+  find_package(BLAS REQUIRED)
+  message(STATUS "BLAS_COMPILER_FLAGS: ${BLAS_COMPILER_FLAGS}")
+  add_definitions("-DEIGEN_USE_BLAS") # is adding  ${BLAS_COMPILER_FLAGS} necessary?
+  list(APPEND EXTERNAL_LIBS "${BLAS_LIBRARIES}")
+endif()
+
+# configure blas/lapack (use Eigen's ones)
+set(EIGEN_BLAS_LIBRARIES eigen_blas)
+set(EIGEN_LAPACK_LIBRARIES eigen_lapack)
+
+set(EIGEN_TEST_MATRIX_DIR "" CACHE STRING "Enable testing of realword sparse matrices contained in the specified path")
+if(EIGEN_TEST_MATRIX_DIR)
+  if(NOT WIN32)
+    message(STATUS "Test realworld sparse matrices: ${EIGEN_TEST_MATRIX_DIR}")
+    add_definitions( -DTEST_REAL_CASES="${EIGEN_TEST_MATRIX_DIR}" )
+  else()
+    message(STATUS "REAL CASES CAN NOT BE CURRENTLY TESTED ON WIN32")
+  endif()
+endif()
+
+set(SPARSE_LIBS " ")
+
+find_package(CHOLMOD)
+if(CHOLMOD_FOUND AND EIGEN_BUILD_BLAS AND EIGEN_BUILD_LAPACK)
+  add_definitions("-DEIGEN_CHOLMOD_SUPPORT")
+  include_directories(${CHOLMOD_INCLUDES})
+  set(SPARSE_LIBS ${SPARSE_LIBS} ${CHOLMOD_LIBRARIES} ${EIGEN_BLAS_LIBRARIES} ${EIGEN_LAPACK_LIBRARIES})
+  set(CHOLMOD_ALL_LIBS  ${CHOLMOD_LIBRARIES} ${EIGEN_BLAS_LIBRARIES} ${EIGEN_LAPACK_LIBRARIES})
+  ei_add_property(EIGEN_TESTED_BACKENDS "CHOLMOD, ")
+
+  ei_add_test(cholmod_support "" "${CHOLMOD_ALL_LIBS}")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS "CHOLMOD, ")
+endif()
+
+find_package(UMFPACK)
+if(UMFPACK_FOUND AND EIGEN_BUILD_BLAS)
+  add_definitions("-DEIGEN_UMFPACK_SUPPORT")
+  include_directories(${UMFPACK_INCLUDES})
+  set(SPARSE_LIBS ${SPARSE_LIBS} ${UMFPACK_LIBRARIES} ${EIGEN_BLAS_LIBRARIES})
+  set(UMFPACK_ALL_LIBS ${UMFPACK_LIBRARIES} ${EIGEN_BLAS_LIBRARIES})
+  ei_add_property(EIGEN_TESTED_BACKENDS "UMFPACK, ")
+
+  ei_add_test(umfpack_support "" "${UMFPACK_ALL_LIBS}")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS "UMFPACK, ")
+endif()
+
+find_package(KLU)
+if(KLU_FOUND AND EIGEN_BUILD_BLAS)
+  add_definitions("-DEIGEN_KLU_SUPPORT")
+  include_directories(${KLU_INCLUDES})
+  set(SPARSE_LIBS ${SPARSE_LIBS} ${KLU_LIBRARIES} ${EIGEN_BLAS_LIBRARIES})
+  set(KLU_ALL_LIBS ${KLU_LIBRARIES} ${EIGEN_BLAS_LIBRARIES})
+  ei_add_property(EIGEN_TESTED_BACKENDS "KLU, ")
+
+  ei_add_test(klu_support "" "${KLU_ALL_LIBS}")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS "KLU, ")
+endif()
+
+find_package(SuperLU 4.0)
+if(SuperLU_FOUND AND EIGEN_BUILD_BLAS)
+  add_definitions("-DEIGEN_SUPERLU_SUPPORT")
+  include_directories(${SUPERLU_INCLUDES})
+  set(SPARSE_LIBS ${SPARSE_LIBS} ${SUPERLU_LIBRARIES} ${EIGEN_BLAS_LIBRARIES})
+  set(SUPERLU_ALL_LIBS ${SUPERLU_LIBRARIES} ${EIGEN_BLAS_LIBRARIES})
+  ei_add_property(EIGEN_TESTED_BACKENDS  "SuperLU, ")
+
+  ei_add_test(superlu_support "" "${SUPERLU_ALL_LIBS}")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS  "SuperLU, ")
+endif()
+
+
+find_package(PASTIX QUIET COMPONENTS METIS SEQ)
+# check that the PASTIX found is a version without MPI
+find_path(PASTIX_pastix_nompi.h_INCLUDE_DIRS
+  NAMES pastix_nompi.h
+  HINTS ${PASTIX_INCLUDE_DIRS}
+)
+if (NOT PASTIX_pastix_nompi.h_INCLUDE_DIRS)
+  message(STATUS "A version of Pastix has been found but pastix_nompi.h does not exist in the include directory."
+                 " Because Eigen tests require a version without MPI, we disable the Pastix backend.")
+endif()
+if(PASTIX_FOUND AND PASTIX_pastix_nompi.h_INCLUDE_DIRS)
+  add_definitions("-DEIGEN_PASTIX_SUPPORT")
+  include_directories(${PASTIX_INCLUDE_DIRS_DEP})
+  if(SCOTCH_FOUND)
+    include_directories(${SCOTCH_INCLUDE_DIRS})
+    set(PASTIX_LIBRARIES ${PASTIX_LIBRARIES} ${SCOTCH_LIBRARIES})
+  elseif(METIS_FOUND)
+    include_directories(${METIS_INCLUDE_DIRS})
+    set(PASTIX_LIBRARIES ${PASTIX_LIBRARIES} ${METIS_LIBRARIES})
+  else()
+    ei_add_property(EIGEN_MISSING_BACKENDS  "PaStiX, ")
+  endif()
+  set(SPARSE_LIBS ${SPARSE_LIBS} ${PASTIX_LIBRARIES_DEP} ${ORDERING_LIBRARIES})
+  set(PASTIX_ALL_LIBS ${PASTIX_LIBRARIES_DEP})
+  ei_add_property(EIGEN_TESTED_BACKENDS  "PaStiX, ")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS  "PaStiX, ")
+endif()
+
+if(METIS_FOUND)
+  add_definitions("-DEIGEN_METIS_SUPPORT")
+  include_directories(${METIS_INCLUDE_DIRS})
+  ei_add_property(EIGEN_TESTED_BACKENDS "METIS, ")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS "METIS, ")
+endif()
+
+find_package(SPQR)
+if(SPQR_FOUND AND EIGEN_TEST_CXX11 AND CHOLMOD_FOUND AND EIGEN_BUILD_BLAS AND EIGEN_BUILD_LAPACK AND (EIGEN_Fortran_COMPILER_WORKS OR LAPACK_FOUND) )
+  add_definitions("-DEIGEN_SPQR_SUPPORT")
+  include_directories(${SPQR_INCLUDES})
+  set(SPQR_ALL_LIBS ${SPQR_LIBRARIES} ${CHOLMOD_LIBRARIES} ${EIGEN_LAPACK_LIBRARIES} ${EIGEN_BLAS_LIBRARIES} ${LAPACK_LIBRARIES})
+  set(SPARSE_LIBS ${SPARSE_LIBS} ${SPQR_ALL_LIBS})
+  ei_add_property(EIGEN_TESTED_BACKENDS "SPQR, ")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS "SPQR, ")
+endif()
+
+option(EIGEN_TEST_NOQT "Disable Qt support in unit tests" OFF)
+if(NOT EIGEN_TEST_NOQT)
+  find_package(Qt4)
+  if(QT4_FOUND)
+    include(${QT_USE_FILE})
+    ei_add_property(EIGEN_TESTED_BACKENDS  "Qt4 support, ")
+  else()
+    ei_add_property(EIGEN_MISSING_BACKENDS  "Qt4 support, ")
+  endif()
+endif()
+
+if(TEST_LIB)
+  add_definitions("-DEIGEN_EXTERN_INSTANTIATIONS=1")
+endif()
+
+set_property(GLOBAL PROPERTY EIGEN_CURRENT_SUBPROJECT "Official")
+add_custom_target(BuildOfficial)
+
+ei_add_test(clz)
+ei_add_test(rand)
+ei_add_test(meta)
+ei_add_test(numext)
+ei_add_test(sizeof)
+ei_add_test(dynalloc)
+ei_add_test(nomalloc)
+ei_add_test(first_aligned)
+ei_add_test(type_alias)
+ei_add_test(nullary)
+ei_add_test(mixingtypes)
+ei_add_test(io)
+ei_add_test(packetmath "-DEIGEN_FAST_MATH=1")
+ei_add_test(vectorization_logic)
+ei_add_test(basicstuff)
+ei_add_test(constructor)
+ei_add_test(linearstructure)
+ei_add_test(integer_types)
+ei_add_test(unalignedcount)
+if(NOT EIGEN_TEST_NO_EXCEPTIONS AND NOT EIGEN_TEST_OPENMP)
+  ei_add_test(exceptions)
+endif()
+ei_add_test(redux)
+ei_add_test(visitor)
+ei_add_test(block)
+ei_add_test(corners)
+ei_add_test(symbolic_index)
+ei_add_test(indexed_view)
+ei_add_test(reshape)
+ei_add_test(swap)
+ei_add_test(resize)
+ei_add_test(conservative_resize)
+ei_add_test(product_small)
+ei_add_test(product_large)
+ei_add_test(product_extra)
+ei_add_test(diagonalmatrices)
+ei_add_test(adjoint)
+ei_add_test(diagonal)
+ei_add_test(miscmatrices)
+ei_add_test(commainitializer)
+ei_add_test(smallvectors)
+ei_add_test(mapped_matrix)
+ei_add_test(mapstride)
+ei_add_test(mapstaticmethods)
+ei_add_test(array_cwise)
+ei_add_test(array_for_matrix)
+ei_add_test(array_replicate)
+ei_add_test(array_reverse)
+ei_add_test(ref)
+ei_add_test(is_same_dense)
+ei_add_test(triangular)
+ei_add_test(selfadjoint)
+ei_add_test(product_selfadjoint)
+ei_add_test(product_symm)
+ei_add_test(product_syrk)
+ei_add_test(product_trmv)
+ei_add_test(product_trmm)
+ei_add_test(product_trsolve)
+ei_add_test(product_mmtr)
+ei_add_test(product_notemporary)
+ei_add_test(stable_norm)
+ei_add_test(permutationmatrices)
+ei_add_test(bandmatrix)
+ei_add_test(cholesky)
+ei_add_test(lu)
+ei_add_test(determinant)
+ei_add_test(inverse)
+ei_add_test(qr)
+ei_add_test(qr_colpivoting)
+ei_add_test(qr_fullpivoting)
+ei_add_test(upperbidiagonalization)
+ei_add_test(hessenberg)
+ei_add_test(schur_real)
+ei_add_test(schur_complex)
+ei_add_test(eigensolver_selfadjoint)
+ei_add_test(eigensolver_generic)
+ei_add_test(eigensolver_complex)
+ei_add_test(real_qz)
+ei_add_test(eigensolver_generalized_real)
+ei_add_test(jacobi)
+ei_add_test(jacobisvd)
+ei_add_test(bdcsvd)
+ei_add_test(householder)
+ei_add_test(geo_orthomethods)
+ei_add_test(geo_quaternion)
+ei_add_test(geo_eulerangles)
+ei_add_test(geo_parametrizedline)
+ei_add_test(geo_alignedbox)
+ei_add_test(geo_hyperplane)
+ei_add_test(geo_transformations)
+ei_add_test(geo_homogeneous)
+ei_add_test(stdvector)
+ei_add_test(stdvector_overload)
+ei_add_test(stdlist)
+ei_add_test(stdlist_overload)
+ei_add_test(stddeque)
+ei_add_test(stddeque_overload)
+ei_add_test(sparse_basic)
+ei_add_test(sparse_block)
+ei_add_test(sparse_vector)
+ei_add_test(sparse_product)
+ei_add_test(sparse_ref)
+ei_add_test(sparse_solvers)
+ei_add_test(sparse_permutations)
+ei_add_test(simplicial_cholesky)
+ei_add_test(conjugate_gradient)
+ei_add_test(incomplete_cholesky)
+ei_add_test(bicgstab)
+ei_add_test(lscg)
+ei_add_test(sparselu)
+ei_add_test(sparseqr)
+ei_add_test(umeyama)
+ei_add_test(nesting_ops "${CMAKE_CXX_FLAGS_DEBUG}")
+ei_add_test(nestbyvalue)
+ei_add_test(zerosized)
+ei_add_test(dontalign)
+ei_add_test(evaluators)
+if(NOT EIGEN_TEST_NO_EXCEPTIONS)
+  ei_add_test(sizeoverflow)
+endif()
+ei_add_test(prec_inverse_4x4)
+ei_add_test(vectorwiseop)
+ei_add_test(special_numbers)
+ei_add_test(rvalue_types)
+ei_add_test(dense_storage)
+ei_add_test(ctorleak)
+ei_add_test(inplace_decomposition)
+ei_add_test(half_float)
+ei_add_test(bfloat16_float)
+ei_add_test(array_of_string)
+ei_add_test(num_dimensions)
+ei_add_test(stl_iterators)
+ei_add_test(blasutil)
+if(EIGEN_TEST_CXX11)
+  ei_add_test(initializer_list_construction)
+  ei_add_test(diagonal_matrix_variadic_ctor)
+endif()
+
+add_executable(bug1213 bug1213.cpp bug1213_main.cpp)
+
+check_cxx_compiler_flag("-ffast-math" COMPILER_SUPPORT_FASTMATH)
+if(COMPILER_SUPPORT_FASTMATH)
+  set(EIGEN_FASTMATH_FLAGS "-ffast-math")
+else()
+  check_cxx_compiler_flag("/fp:fast" COMPILER_SUPPORT_FPFAST)
+  if(COMPILER_SUPPORT_FPFAST)
+    set(EIGEN_FASTMATH_FLAGS "/fp:fast")
+  endif()
+endif()
+
+ei_add_test(fastmath "${EIGEN_FASTMATH_FLAGS}")
+
+# # ei_add_test(denseLM)
+
+if(QT4_FOUND)
+  ei_add_test(qtvector "" "${QT_QTCORE_LIBRARY}")
+endif()
+
+if(PARDISO_FOUND)
+  ei_add_test(pardiso_support "" "${PARDISO_ALL_LIBS}")
+endif()
+
+if(PASTIX_FOUND AND (SCOTCH_FOUND OR METIS_FOUND))
+  ei_add_test(pastix_support "" "${PASTIX_ALL_LIBS}")
+endif()
+
+if(SPQR_FOUND AND EIGEN_TEST_CXX11 AND CHOLMOD_FOUND AND EIGEN_BUILD_BLAS AND EIGEN_BUILD_LAPACK)
+  ei_add_test(spqr_support "" "${SPQR_ALL_LIBS}")
+endif()
+
+if(METIS_FOUND)
+ei_add_test(metis_support "" "${METIS_LIBRARIES}")
+endif()
+
+string(TOLOWER "${CMAKE_CXX_COMPILER}" cmake_cxx_compiler_tolower)
+if(cmake_cxx_compiler_tolower MATCHES "qcc")
+  set(CXX_IS_QCC "ON")
+endif()
+
+ei_add_property(EIGEN_TESTING_SUMMARY "CXX:               ${CMAKE_CXX_COMPILER}\n")
+if(CMAKE_COMPILER_IS_GNUCXX AND NOT CXX_IS_QCC)
+  execute_process(COMMAND ${CMAKE_CXX_COMPILER} --version COMMAND head -n 1 OUTPUT_VARIABLE EIGEN_CXX_VERSION_STRING OUTPUT_STRIP_TRAILING_WHITESPACE)
+  ei_add_property(EIGEN_TESTING_SUMMARY "CXX_VERSION:       ${EIGEN_CXX_VERSION_STRING}\n")
+endif()
+ei_add_property(EIGEN_TESTING_SUMMARY "CXX_FLAGS:         ${CMAKE_CXX_FLAGS}\n")
+if (EIGEN_TEST_CUSTOM_CXX_FLAGS)
+  ei_add_property(EIGEN_TESTING_SUMMARY "Custom CXX flags:  ${EIGEN_TEST_CUSTOM_CXX_FLAGS}\n")
+endif()
+ei_add_property(EIGEN_TESTING_SUMMARY "Sparse lib flags:  ${SPARSE_LIBS}\n")
+
+option(EIGEN_TEST_EIGEN2 "Run whole Eigen2 test suite against EIGEN2_SUPPORT" OFF)
+mark_as_advanced(EIGEN_TEST_EIGEN2)
+if(EIGEN_TEST_EIGEN2)
+  message(WARNING "The Eigen2 test suite has been removed")
+endif()
+
+# boost MP unit test
+find_package(Boost 1.53.0)
+if(Boost_FOUND AND EIGEN_TEST_CXX11)
+  include_directories(${Boost_INCLUDE_DIRS})
+  ei_add_test(boostmultiprec "" "${Boost_LIBRARIES}")
+  ei_add_property(EIGEN_TESTED_BACKENDS "Boost.Multiprecision, ")
+else()
+  ei_add_property(EIGEN_MISSING_BACKENDS "Boost.Multiprecision, ")
+endif()
+
+
+# CUDA unit tests
+option(EIGEN_TEST_CUDA "Enable CUDA support in unit tests" OFF)
+option(EIGEN_TEST_CUDA_CLANG "Use clang instead of nvcc to compile the CUDA tests" OFF)
+
+if(EIGEN_TEST_CUDA_CLANG AND NOT CMAKE_CXX_COMPILER MATCHES "clang")
+  message(WARNING "EIGEN_TEST_CUDA_CLANG is set, but CMAKE_CXX_COMPILER does not appear to be clang.")
+endif()
+
+find_package(CUDA 9.0)
+if(CUDA_FOUND AND EIGEN_TEST_CUDA)
+  # Make sure to compile without the -pedantic, -Wundef, -Wnon-virtual-dtor
+  # and -fno-check-new flags since they trigger thousands of compilation warnings
+  # in the CUDA runtime
+  string(REPLACE "-pedantic" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
+  string(REPLACE "-Wundef" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
+  string(REPLACE "-Wnon-virtual-dtor" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
+  string(REPLACE "-fno-check-new" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
+
+  if(EIGEN_TEST_CUDA_CLANG)
+    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11")
+    string(APPEND CMAKE_CXX_FLAGS " --cuda-path=${CUDA_TOOLKIT_ROOT_DIR}")
+    foreach(GPU IN LISTS EIGEN_CUDA_COMPUTE_ARCH)
+      string(APPEND CMAKE_CXX_FLAGS " --cuda-gpu-arch=sm_${GPU}")
+    endforeach()
+    string(APPEND CMAKE_CXX_FLAGS " ${EIGEN_CUDA_CXX_FLAGS}")
+  else()
+    set(CUDA_PROPAGATE_HOST_FLAGS OFF)
+    set(NVCC_ARCH_FLAGS)
+    # Define an -arch=sm_<arch>, otherwise if GPU does not exactly match one of
+    # those in the arch list for -gencode, the kernels will fail to run with
+    #    cudaErrorNoKernelImageForDevice
+    # This can happen with newer cards (e.g. sm_75) and compiling with older
+    # versions of nvcc (e.g. 9.2) that do not support their specific arch.
+    list(LENGTH EIGEN_CUDA_COMPUTE_ARCH EIGEN_CUDA_COMPUTE_ARCH_SIZE)
+    if(EIGEN_CUDA_COMPUTE_ARCH_SIZE)
+      list(GET EIGEN_CUDA_COMPUTE_ARCH 0 EIGEN_CUDA_COMPUTE_DEFAULT)
+      set(NVCC_ARCH_FLAGS " -arch=sm_${EIGEN_CUDA_COMPUTE_DEFAULT}")
+    endif()
+    foreach(ARCH IN LISTS EIGEN_CUDA_COMPUTE_ARCH)
+      string(APPEND NVCC_ARCH_FLAGS " -gencode arch=compute_${ARCH},code=sm_${ARCH}")
+    endforeach()
+    set(CUDA_NVCC_FLAGS  "--expt-relaxed-constexpr -Xcudafe \"--display_error_number\" ${NVCC_ARCH_FLAGS} ${CUDA_NVCC_FLAGS} ${EIGEN_CUDA_CXX_FLAGS}")
+    cuda_include_directories("${CMAKE_CURRENT_BINARY_DIR}" "${CUDA_TOOLKIT_ROOT_DIR}/include")
+  endif()
+
+  set(EIGEN_ADD_TEST_FILENAME_EXTENSION  "cu")
+
+  ei_add_test(gpu_basic)
+
+  unset(EIGEN_ADD_TEST_FILENAME_EXTENSION)
+
+endif()
+
+
+# HIP unit tests
+option(EIGEN_TEST_HIP "Add HIP support." OFF)
+if (EIGEN_TEST_HIP)
+
+  set(ROCM_PATH "/opt/rocm" CACHE STRING "Path to the ROCm installation.")
+
+  if (EXISTS ${ROCM_PATH}/hip)
+    set(HIP_PATH ${ROCM_PATH}/hip)
+    list(APPEND CMAKE_MODULE_PATH ${HIP_PATH}/cmake)
+  elseif (EXISTS ${ROCM_PATH}/lib/cmake/hip)
+    set(HIP_PATH ${ROCM_PATH})
+    list(APPEND CMAKE_MODULE_PATH ${HIP_PATH}/lib/cmake/hip)
+  else ()
+    message(FATAL_ERROR "EIGEN_TEST_HIP is ON, but could not find the ROCm installation under ${ROCM_PATH}")
+  endif()
+
+  find_package(HIP REQUIRED)
+  if (HIP_FOUND)
+    execute_process(COMMAND ${HIP_PATH}/bin/hipconfig --platform OUTPUT_VARIABLE HIP_PLATFORM)
+
+    if ((${HIP_PLATFORM} STREQUAL "hcc") OR (${HIP_PLATFORM} STREQUAL "amd"))
+
+      include_directories(${HIP_PATH}/include)
+
+      set(EIGEN_ADD_TEST_FILENAME_EXTENSION  "cu")
+      ei_add_test(gpu_basic)
+      unset(EIGEN_ADD_TEST_FILENAME_EXTENSION)
+
+    elseif ((${HIP_PLATFORM} STREQUAL "nvcc") OR (${HIP_PLATFORM} STREQUAL "nvidia"))
+      message(FATAL_ERROR "HIP_PLATFORM = nvcc is not supported within Eigen")
+    else ()
+      message(FATAL_ERROR "Unknown HIP_PLATFORM = ${HIP_PLATFORM}")
+    endif()
+  endif()
+endif()
+
+if(EIGEN_TEST_SYCL)
+  set(EIGEN_SYCL ON)
+  include(SyclConfigureTesting)
+
+  ei_add_test(sycl_basic)
+  set(EIGEN_SYCL OFF)
+endif()
+
+cmake_dependent_option(EIGEN_TEST_BUILD_DOCUMENTATION "Test building the doxygen documentation" OFF "EIGEN_BUILD_DOC" OFF)
+if(EIGEN_TEST_BUILD_DOCUMENTATION)
+  add_dependencies(buildtests doc)
+endif()
+
+# Register all smoke tests
+include("EigenSmokeTestList")
+ei_add_smoke_tests("${ei_smoke_test_list}")
diff --git a/include/eigen/test/MovableScalar.h b/include/eigen/test/MovableScalar.h
new file mode 100644
index 0000000000000000000000000000000000000000..6a90d037a852f6981bf206dd6aaac5baa9e71287
--- /dev/null
+++ b/include/eigen/test/MovableScalar.h
@@ -0,0 +1,35 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2020 Sebastien Boisvert <seb@boisvert.info>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_MISC_MOVABLE_SCALAR_H
+#define EIGEN_MISC_MOVABLE_SCALAR_H
+
+#include <vector>
+
+namespace Eigen
+{
+template <typename Scalar, typename Base = std::vector<Scalar>>
+struct MovableScalar : public Base
+{
+  MovableScalar() = default;
+  ~MovableScalar() = default;
+  MovableScalar(const MovableScalar&) = default;
+  MovableScalar(MovableScalar&& other) = default;
+  MovableScalar& operator=(const MovableScalar&) = default;
+  MovableScalar& operator=(MovableScalar&& other) = default;
+  MovableScalar(Scalar scalar) : Base(100, scalar) {}
+
+  operator Scalar() const { return this->size() > 0 ? this->back() : Scalar(); }
+};
+
+template<> struct NumTraits<MovableScalar<float>> : GenericNumTraits<float> {};
+}
+
+#endif
+
diff --git a/include/eigen/test/diagonal.cpp b/include/eigen/test/diagonal.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4e8c4b3c97a05145202856626c2f6dd41c451f68
--- /dev/null
+++ b/include/eigen/test/diagonal.cpp
@@ -0,0 +1,105 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+
+template<typename MatrixType> void diagonal(const MatrixType& m)
+{
+  typedef typename MatrixType::Scalar Scalar;
+
+  Index rows = m.rows();
+  Index cols = m.cols();
+
+  MatrixType m1 = MatrixType::Random(rows, cols),
+             m2 = MatrixType::Random(rows, cols);
+
+  Scalar s1 = internal::random<Scalar>();
+
+  //check diagonal()
+  VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
+  m2.diagonal() = 2 * m1.diagonal();
+  m2.diagonal()[0] *= 3;
+
+  if (rows>2)
+  {
+    enum {
+      N1 = MatrixType::RowsAtCompileTime>2 ?  2 : 0,
+      N2 = MatrixType::RowsAtCompileTime>1 ? -1 : 0
+    };
+
+    // check sub/super diagonal
+    if(MatrixType::SizeAtCompileTime!=Dynamic)
+    {
+      VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
+      VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
+    }
+
+    m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
+    VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
+    m2.template diagonal<N1>()[0] *= 3;
+    VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
+
+
+    m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
+    m2.template diagonal<N2>()[0] *= 3;
+    VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
+
+    m2.diagonal(N1) = 2 * m1.diagonal(N1);
+    VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
+    m2.diagonal(N1)[0] *= 3;
+    VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
+
+    m2.diagonal(N2) = 2 * m1.diagonal(N2);
+    VERIFY_IS_APPROX(m2.template diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
+    m2.diagonal(N2)[0] *= 3;
+    VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
+
+    m2.diagonal(N2).x() = s1;
+    VERIFY_IS_APPROX(m2.diagonal(N2).x(), s1);
+    m2.diagonal(N2).coeffRef(0) = Scalar(2)*s1;
+    VERIFY_IS_APPROX(m2.diagonal(N2).coeff(0), Scalar(2)*s1);
+  }
+
+  VERIFY( m1.diagonal( cols).size()==0 );
+  VERIFY( m1.diagonal(-rows).size()==0 );
+}
+
+template<typename MatrixType> void diagonal_assert(const MatrixType& m) {
+  Index rows = m.rows();
+  Index cols = m.cols();
+
+  MatrixType m1 = MatrixType::Random(rows, cols);
+
+  if (rows>=2 && cols>=2)
+  {
+    VERIFY_RAISES_ASSERT( m1 += m1.diagonal() );
+    VERIFY_RAISES_ASSERT( m1 -= m1.diagonal() );
+    VERIFY_RAISES_ASSERT( m1.array() *= m1.diagonal().array() );
+    VERIFY_RAISES_ASSERT( m1.array() /= m1.diagonal().array() );
+  }
+
+  VERIFY_RAISES_ASSERT( m1.diagonal(cols+1) );
+  VERIFY_RAISES_ASSERT( m1.diagonal(-(rows+1)) );
+}
+
+EIGEN_DECLARE_TEST(diagonal)
+{
+  for(int i = 0; i < g_repeat; i++) {
+    CALL_SUBTEST_1( diagonal(Matrix<float, 1, 1>()) );
+    CALL_SUBTEST_1( diagonal(Matrix<float, 4, 9>()) );
+    CALL_SUBTEST_1( diagonal(Matrix<float, 7, 3>()) );
+    CALL_SUBTEST_2( diagonal(Matrix4d()) );
+    CALL_SUBTEST_2( diagonal(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
+    CALL_SUBTEST_2( diagonal(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
+    CALL_SUBTEST_2( diagonal(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
+    CALL_SUBTEST_1( diagonal(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
+    CALL_SUBTEST_1( diagonal(Matrix<float,Dynamic,4>(3, 4)) );
+    CALL_SUBTEST_1( diagonal_assert(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
+  }
+}
diff --git a/include/eigen/test/hessenberg.cpp b/include/eigen/test/hessenberg.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..0e1b0098dacd12ea9cef0648ca8212a8906450f5
--- /dev/null
+++ b/include/eigen/test/hessenberg.cpp
@@ -0,0 +1,62 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+#include <Eigen/Eigenvalues>
+
+template<typename Scalar,int Size> void hessenberg(int size = Size)
+{
+  typedef Matrix<Scalar,Size,Size> MatrixType;
+
+  // Test basic functionality: A = U H U* and H is Hessenberg
+  for(int counter = 0; counter < g_repeat; ++counter) {
+    MatrixType m = MatrixType::Random(size,size);
+    HessenbergDecomposition<MatrixType> hess(m);
+    MatrixType Q = hess.matrixQ();
+    MatrixType H = hess.matrixH();
+    VERIFY_IS_APPROX(m, Q * H * Q.adjoint());
+    for(int row = 2; row < size; ++row) {
+      for(int col = 0; col < row-1; ++col) {
+	VERIFY(H(row,col) == (typename MatrixType::Scalar)0);
+      }
+    }
+  }
+
+  // Test whether compute() and constructor returns same result
+  MatrixType A = MatrixType::Random(size, size);
+  HessenbergDecomposition<MatrixType> cs1;
+  cs1.compute(A);
+  HessenbergDecomposition<MatrixType> cs2(A);
+  VERIFY_IS_EQUAL(cs1.matrixH().eval(), cs2.matrixH().eval());
+  MatrixType cs1Q = cs1.matrixQ();
+  MatrixType cs2Q = cs2.matrixQ();  
+  VERIFY_IS_EQUAL(cs1Q, cs2Q);
+
+  // Test assertions for when used uninitialized
+  HessenbergDecomposition<MatrixType> hessUninitialized;
+  VERIFY_RAISES_ASSERT( hessUninitialized.matrixH() );
+  VERIFY_RAISES_ASSERT( hessUninitialized.matrixQ() );
+  VERIFY_RAISES_ASSERT( hessUninitialized.householderCoefficients() );
+  VERIFY_RAISES_ASSERT( hessUninitialized.packedMatrix() );
+
+  // TODO: Add tests for packedMatrix() and householderCoefficients()
+}
+
+EIGEN_DECLARE_TEST(hessenberg)
+{
+  CALL_SUBTEST_1(( hessenberg<std::complex<double>,1>() ));
+  CALL_SUBTEST_2(( hessenberg<std::complex<double>,2>() ));
+  CALL_SUBTEST_3(( hessenberg<std::complex<float>,4>() ));
+  CALL_SUBTEST_4(( hessenberg<float,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
+  CALL_SUBTEST_5(( hessenberg<std::complex<double>,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
+
+  // Test problem size constructors
+  CALL_SUBTEST_6(HessenbergDecomposition<MatrixXf>(10));
+}
diff --git a/include/eigen/test/nesting_ops.cpp b/include/eigen/test/nesting_ops.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4b5fc21f259d13570e979d31086511007fa6a358
--- /dev/null
+++ b/include/eigen/test/nesting_ops.cpp
@@ -0,0 +1,107 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010 Hauke Heibel <hauke.heibel@gmail.com>
+// Copyright (C) 2015 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#define TEST_ENABLE_TEMPORARY_TRACKING
+
+#include "main.h"
+
+template <int N, typename XprType>
+void use_n_times(const XprType &xpr)
+{
+  typename internal::nested_eval<XprType,N>::type mat(xpr);
+  typename XprType::PlainObject res(mat.rows(), mat.cols());
+  nb_temporaries--; // remove res
+  res.setZero();
+  for(int i=0; i<N; ++i)
+    res += mat;
+}
+
+template <int N, typename ReferenceType, typename XprType>
+bool verify_eval_type(const XprType &, const ReferenceType&)
+{
+  typedef typename internal::nested_eval<XprType,N>::type EvalType;
+  return internal::is_same<typename internal::remove_all<EvalType>::type, typename internal::remove_all<ReferenceType>::type>::value;
+}
+
+template <typename MatrixType> void run_nesting_ops_1(const MatrixType& _m)
+{
+  typename internal::nested_eval<MatrixType,2>::type m(_m);
+
+  // Make really sure that we are in debug mode!
+  VERIFY_RAISES_ASSERT(eigen_assert(false));
+
+  // The only intention of these tests is to ensure that this code does
+  // not trigger any asserts or segmentation faults... more to come.
+  VERIFY_IS_APPROX( (m.transpose() * m).diagonal().sum(), (m.transpose() * m).diagonal().sum() );
+  VERIFY_IS_APPROX( (m.transpose() * m).diagonal().array().abs().sum(), (m.transpose() * m).diagonal().array().abs().sum() );
+
+  VERIFY_IS_APPROX( (m.transpose() * m).array().abs().sum(), (m.transpose() * m).array().abs().sum() );
+}
+
+template <typename MatrixType> void run_nesting_ops_2(const MatrixType& _m)
+{
+  typedef typename MatrixType::Scalar Scalar;
+  Index rows = _m.rows();
+  Index cols = _m.cols();
+  MatrixType m1 = MatrixType::Random(rows,cols);
+  Matrix<Scalar,MatrixType::RowsAtCompileTime,MatrixType::ColsAtCompileTime,ColMajor> m2;
+
+  if((MatrixType::SizeAtCompileTime==Dynamic))
+  {
+    VERIFY_EVALUATION_COUNT( use_n_times<1>(m1 + m1*m1), 1 );
+    VERIFY_EVALUATION_COUNT( use_n_times<10>(m1 + m1*m1), 1 );
+
+    VERIFY_EVALUATION_COUNT( use_n_times<1>(m1.template triangularView<Lower>().solve(m1.col(0))), 1 );
+    VERIFY_EVALUATION_COUNT( use_n_times<10>(m1.template triangularView<Lower>().solve(m1.col(0))), 1 );
+
+    VERIFY_EVALUATION_COUNT( use_n_times<1>(Scalar(2)*m1.template triangularView<Lower>().solve(m1.col(0))), 2 ); // FIXME could be one by applying the scaling in-place on the solve result
+    VERIFY_EVALUATION_COUNT( use_n_times<1>(m1.col(0)+m1.template triangularView<Lower>().solve(m1.col(0))), 2 ); // FIXME could be one by adding m1.col() inplace
+    VERIFY_EVALUATION_COUNT( use_n_times<10>(m1.col(0)+m1.template triangularView<Lower>().solve(m1.col(0))), 2 );
+  }
+
+  {
+    VERIFY( verify_eval_type<10>(m1, m1) );
+    if(!NumTraits<Scalar>::IsComplex)
+    {
+      VERIFY( verify_eval_type<3>(2*m1, 2*m1) );
+      VERIFY( verify_eval_type<4>(2*m1, m1) );
+    }
+    else
+    {
+      VERIFY( verify_eval_type<2>(2*m1, 2*m1) );
+      VERIFY( verify_eval_type<3>(2*m1, m1) );
+    }
+    VERIFY( verify_eval_type<2>(m1+m1, m1+m1) );
+    VERIFY( verify_eval_type<3>(m1+m1, m1) );
+    VERIFY( verify_eval_type<1>(m1*m1.transpose(), m2) );
+    VERIFY( verify_eval_type<1>(m1*(m1+m1).transpose(), m2) );
+    VERIFY( verify_eval_type<2>(m1*m1.transpose(), m2) );
+    VERIFY( verify_eval_type<1>(m1+m1*m1, m1) );
+
+    VERIFY( verify_eval_type<1>(m1.template triangularView<Lower>().solve(m1), m1) );
+    VERIFY( verify_eval_type<1>(m1+m1.template triangularView<Lower>().solve(m1), m1) );
+  }
+}
+
+
+EIGEN_DECLARE_TEST(nesting_ops)
+{
+  CALL_SUBTEST_1(run_nesting_ops_1(MatrixXf::Random(25,25)));
+  CALL_SUBTEST_2(run_nesting_ops_1(MatrixXcd::Random(25,25)));
+  CALL_SUBTEST_3(run_nesting_ops_1(Matrix4f::Random()));
+  CALL_SUBTEST_4(run_nesting_ops_1(Matrix2d::Random()));
+
+  Index s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE);
+  CALL_SUBTEST_1( run_nesting_ops_2(MatrixXf(s,s)) );
+  CALL_SUBTEST_2( run_nesting_ops_2(MatrixXcd(s,s)) );
+  CALL_SUBTEST_3( run_nesting_ops_2(Matrix4f()) );
+  CALL_SUBTEST_4( run_nesting_ops_2(Matrix2d()) );
+  TEST_SET_BUT_UNUSED_VARIABLE(s)
+}
diff --git a/include/eigen/test/sparseLM.cpp b/include/eigen/test/sparseLM.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..a48fcb685f7566897dce843fb7f28f2b1a8f5b53
--- /dev/null
+++ b/include/eigen/test/sparseLM.cpp
@@ -0,0 +1,176 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2012 Desire Nuentsa <desire.nuentsa_wakam@inria.fr>
+// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+#include <iostream>
+#include <fstream>
+#include <iomanip>
+
+#include "main.h"
+#include <Eigen/LevenbergMarquardt>
+
+using namespace std;
+using namespace Eigen;
+
+template <typename Scalar>
+struct sparseGaussianTest : SparseFunctor<Scalar, int>
+{
+  typedef Matrix<Scalar,Dynamic,1> VectorType;
+  typedef SparseFunctor<Scalar,int> Base;
+  typedef typename Base::JacobianType JacobianType;
+  sparseGaussianTest(int inputs, int values) : SparseFunctor<Scalar,int>(inputs,values)
+  { }
+  
+  VectorType model(const VectorType& uv, VectorType& x)
+  {
+    VectorType y; //Change this to use expression template
+    int m = Base::values(); 
+    int n = Base::inputs();
+    eigen_assert(uv.size()%2 == 0);
+    eigen_assert(uv.size() == n);
+    eigen_assert(x.size() == m);
+    y.setZero(m);
+    int half = n/2;
+    VectorBlock<const VectorType> u(uv, 0, half);
+    VectorBlock<const VectorType> v(uv, half, half);
+    Scalar coeff;
+    for (int j = 0; j < m; j++)
+    {
+      for (int i = 0; i < half; i++) 
+      {
+        coeff = (x(j)-i)/v(i);
+        coeff *= coeff;
+        if (coeff < 1. && coeff > 0.)
+          y(j) += u(i)*std::pow((1-coeff), 2);
+      }
+    }
+    return y;
+  }
+  void initPoints(VectorType& uv_ref, VectorType& x)
+  {
+    m_x = x;
+    m_y = this->model(uv_ref,x);
+  }
+  int operator()(const VectorType& uv, VectorType& fvec)
+  {
+    int m = Base::values(); 
+    int n = Base::inputs();
+    eigen_assert(uv.size()%2 == 0);
+    eigen_assert(uv.size() == n);
+    int half = n/2;
+    VectorBlock<const VectorType> u(uv, 0, half);
+    VectorBlock<const VectorType> v(uv, half, half);
+    fvec = m_y;
+    Scalar coeff;
+    for (int j = 0; j < m; j++)
+    {
+      for (int i = 0; i < half; i++)
+      {
+        coeff = (m_x(j)-i)/v(i);
+        coeff *= coeff;
+        if (coeff < 1. && coeff > 0.)
+          fvec(j) -= u(i)*std::pow((1-coeff), 2);
+      }
+    }
+    return 0;
+  }
+  
+  int df(const VectorType& uv, JacobianType& fjac)
+  {
+    int m = Base::values(); 
+    int n = Base::inputs();
+    eigen_assert(n == uv.size());
+    eigen_assert(fjac.rows() == m);
+    eigen_assert(fjac.cols() == n);
+    int half = n/2;
+    VectorBlock<const VectorType> u(uv, 0, half);
+    VectorBlock<const VectorType> v(uv, half, half);
+    Scalar coeff;
+    
+    //Derivatives with respect to u
+    for (int col = 0; col < half; col++)
+    {
+      for (int row = 0; row < m; row++)
+      {
+        coeff = (m_x(row)-col)/v(col);
+          coeff = coeff*coeff;
+        if(coeff < 1. && coeff > 0.)
+        {
+          fjac.coeffRef(row,col) = -(1-coeff)*(1-coeff);
+        }
+      }
+    }
+    //Derivatives with respect to v
+    for (int col = 0; col < half; col++)
+    {
+      for (int row = 0; row < m; row++)
+      {
+        coeff = (m_x(row)-col)/v(col);
+        coeff = coeff*coeff;
+        if(coeff < 1. && coeff > 0.)
+        {
+          fjac.coeffRef(row,col+half) = -4 * (u(col)/v(col))*coeff*(1-coeff);
+        }
+      }
+    }
+    return 0;
+  }
+  
+  VectorType m_x, m_y; //Data points
+};
+
+
+template<typename T>
+void test_sparseLM_T()
+{
+  typedef Matrix<T,Dynamic,1> VectorType;
+  
+  int inputs = 10;
+  int values = 2000;
+  sparseGaussianTest<T> sparse_gaussian(inputs, values);
+  VectorType uv(inputs),uv_ref(inputs);
+  VectorType x(values);
+  // Generate the reference solution 
+  uv_ref << -2, 1, 4 ,8, 6, 1.8, 1.2, 1.1, 1.9 , 3;
+  //Generate the reference data points
+  x.setRandom();
+  x = 10*x;
+  x.array() += 10;
+  sparse_gaussian.initPoints(uv_ref, x);
+  
+  
+  // Generate the initial parameters 
+  VectorBlock<VectorType> u(uv, 0, inputs/2); 
+  VectorBlock<VectorType> v(uv, inputs/2, inputs/2);
+  v.setOnes();
+  //Generate u or Solve for u from v
+  u.setOnes();
+  
+  // Solve the optimization problem
+  LevenbergMarquardt<sparseGaussianTest<T> > lm(sparse_gaussian);
+  int info;
+//   info = lm.minimize(uv);
+  
+  VERIFY_IS_EQUAL(info,1);
+    // Do a step by step solution and save the residual 
+  int maxiter = 200;
+  int iter = 0;
+  MatrixXd Err(values, maxiter);
+  MatrixXd Mod(values, maxiter);
+  LevenbergMarquardtSpace::Status status; 
+  status = lm.minimizeInit(uv);
+  if (status==LevenbergMarquardtSpace::ImproperInputParameters)
+      return ;
+
+}
+EIGEN_DECLARE_TEST(sparseLM)
+{
+  CALL_SUBTEST_1(test_sparseLM_T<double>());
+  
+  // CALL_SUBTEST_2(test_sparseLM_T<std::complex<double>());
+}