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Module: tf.linalg

Operations for linear algebra.


experimental module: Public API for tf.linalg.experimental namespace.


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.


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.

banded_triangular_solve(...): Solve triangular systems of equations with a banded solver.

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.

eig(...): Computes the eigen decomposition of a batch of matrices.

eigh(...): Computes the eigen decomposition of a batch of self-adjoint matrices.

eigh_tridiagonal(...): Computes the eigenvalues of a Hermitian tridiagonal matrix.

eigvals(...): Computes the eigenvalues of one or more 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.