TensorFlow 1 version |
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.
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.
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.
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
.
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.