Module: tf.compat.v1.linalg Operations for linear algebra. Modules experimental module: Public API for tf.linalg.experimental namespace. Classes class LinearOperator: Base class defining a [batch of] linear operator[s]. class LinearOperatorAdjoint: LinearOperator representing the adjoint of another operator. class LinearOperatorBlockDiag: Combines one or more LinearOperators in to a Block Diagonal matrix. class LinearOperatorBlockLowerTriangular: Combines LinearOperators into a blockwise lower-triangular matrix. class LinearOperatorCirculant: LinearOperator acting like a circulant matrix. class LinearOperatorCirculant2D: LinearOperator acting like a block circulant matrix. class LinearOperatorCirculant3D: LinearOperator acting like a nested block circulant matrix. class LinearOperatorComposition: Composes one or more LinearOperators. class LinearOperatorDiag: LinearOperator acting like a [batch] square diagonal matrix. class LinearOperatorFullMatrix: LinearOperator that wraps a [batch] matrix. class LinearOperatorHouseholder: LinearOperator acting like a [batch] of Householder transformations. class LinearOperatorIdentity: LinearOperator acting like a [batch] square identity matrix. class LinearOperatorInversion: LinearOperator representing the inverse of another operator. class LinearOperatorKronecker: Kronecker product between two LinearOperators. class LinearOperatorLowRankUpdate: Perturb a LinearOperator with a rank K update. class LinearOperatorLowerTriangular: LinearOperator acting like a [batch] square lower triangular matrix. class LinearOperatorPermutation: LinearOperator acting like a [batch] of permutation matrices. class LinearOperatorScaledIdentity: LinearOperator acting like a scaled [batch] identity matrix A = c I. class LinearOperatorToeplitz: LinearOperator acting like a [batch] of toeplitz matrices. class LinearOperatorTridiag: LinearOperator acting like a [batch] square tridiagonal matrix. class LinearOperatorZeros: LinearOperator acting like a [batch] zero matrix. Functions adjoint(...): Transposes the last two dimensions of and conjugates tensor matrix. band_part(...): Copy a tensor setting everything outside a central band in each innermost matrix to zero. cholesky(...): Computes the Cholesky decomposition of one or more square matrices. cholesky_solve(...): Solves systems of linear eqns A X = RHS, given Cholesky factorizations. cross(...): Compute the pairwise cross product. det(...): Computes the determinant of one or more square matrices. diag(...): Returns a batched diagonal tensor with given batched diagonal values. diag_part(...): Returns the batched diagonal part of a batched tensor. eigh(...): Computes the eigen decomposition of a batch of self-adjoint matrices. eigvalsh(...): Computes the eigenvalues of one or more self-adjoint matrices. einsum(...): Tensor contraction over specified indices and outer product. expm(...): Computes the matrix exponential of one or more square matrices. eye(...): Construct an identity matrix, or a batch of matrices. global_norm(...): Computes the global norm of multiple tensors. inv(...): Computes the inverse of one or more square invertible matrices or their adjoints (conjugate transposes). l2_normalize(...): Normalizes along dimension axis using an L2 norm. (deprecated arguments) logdet(...): Computes log of the determinant of a hermitian positive definite matrix. logm(...): Computes the matrix logarithm of one or more square matrices: lstsq(...): Solves one or more linear least-squares problems. lu(...): Computes the LU decomposition of one or more square matrices. lu_matrix_inverse(...): Computes the inverse given the LU decomposition(s) of one or more matrices. lu_reconstruct(...): The reconstruct one or more matrices from their LU decomposition(s). lu_solve(...): Solves systems of linear eqns A X = RHS, given LU factorizations. matmul(...): Multiplies matrix a by matrix b, producing a * b. matrix_rank(...): Compute the matrix rank of one or more matrices. matrix_transpose(...): Transposes last two dimensions of tensor a. matvec(...): Multiplies matrix a by vector b, producing a * b. norm(...): Computes the norm of vectors, matrices, and tensors. (deprecated arguments) normalize(...): Normalizes tensor along dimension axis using specified norm. pinv(...): Compute the Moore-Penrose pseudo-inverse of one or more matrices. qr(...): Computes the QR decompositions of one or more matrices. set_diag(...): Returns a batched matrix tensor with new batched diagonal values. slogdet(...): Computes the sign and the log of the absolute value of the determinant of solve(...): Solves systems of linear equations. sqrtm(...): Computes the matrix square root of one or more square matrices: svd(...): Computes the singular value decompositions of one or more matrices. tensor_diag(...): Returns a diagonal tensor with a given diagonal values. tensor_diag_part(...): Returns the diagonal part of the tensor. tensordot(...): Tensor contraction of a and b along specified axes and outer product. trace(...): Compute the trace of a tensor x. transpose(...): Transposes last two dimensions of tensor a. triangular_solve(...): Solve systems of linear equations with upper or lower triangular matrices. tridiagonal_matmul(...): Multiplies tridiagonal matrix by matrix. tridiagonal_solve(...): Solves tridiagonal systems of equations.