| | """ |
| | ``numpy.linalg`` |
| | ================ |
| | |
| | The NumPy linear algebra functions rely on BLAS and LAPACK to provide efficient |
| | low level implementations of standard linear algebra algorithms. Those |
| | libraries may be provided by NumPy itself using C versions of a subset of their |
| | reference implementations but, when possible, highly optimized libraries that |
| | take advantage of specialized processor functionality are preferred. Examples |
| | of such libraries are OpenBLAS, MKL (TM), and ATLAS. Because those libraries |
| | are multithreaded and processor dependent, environmental variables and external |
| | packages such as threadpoolctl may be needed to control the number of threads |
| | or specify the processor architecture. |
| | |
| | - OpenBLAS: https://www.openblas.net/ |
| | - threadpoolctl: https://github.com/joblib/threadpoolctl |
| | |
| | Please note that the most-used linear algebra functions in NumPy are present in |
| | the main ``numpy`` namespace rather than in ``numpy.linalg``. There are: |
| | ``dot``, ``vdot``, ``inner``, ``outer``, ``matmul``, ``tensordot``, ``einsum``, |
| | ``einsum_path`` and ``kron``. |
| | |
| | Functions present in numpy.linalg are listed below. |
| | |
| | |
| | Matrix and vector products |
| | -------------------------- |
| | |
| | cross |
| | multi_dot |
| | matrix_power |
| | tensordot |
| | matmul |
| | |
| | Decompositions |
| | -------------- |
| | |
| | cholesky |
| | outer |
| | qr |
| | svd |
| | svdvals |
| | |
| | Matrix eigenvalues |
| | ------------------ |
| | |
| | eig |
| | eigh |
| | eigvals |
| | eigvalsh |
| | |
| | Norms and other numbers |
| | ----------------------- |
| | |
| | norm |
| | matrix_norm |
| | vector_norm |
| | cond |
| | det |
| | matrix_rank |
| | slogdet |
| | trace (Array API compatible) |
| | |
| | Solving equations and inverting matrices |
| | ---------------------------------------- |
| | |
| | solve |
| | tensorsolve |
| | lstsq |
| | inv |
| | pinv |
| | tensorinv |
| | |
| | Other matrix operations |
| | ----------------------- |
| | |
| | diagonal (Array API compatible) |
| | matrix_transpose (Array API compatible) |
| | |
| | Exceptions |
| | ---------- |
| | |
| | LinAlgError |
| | |
| | """ |
| | |
| | from . import ( |
| | _linalg, |
| | linalg, |
| | ) |
| | from ._linalg import * |
| |
|
| | __all__ = _linalg.__all__.copy() |
| |
|
| | from numpy._pytesttester import PytestTester |
| |
|
| | test = PytestTester(__name__) |
| | del PytestTester |
| |
|
