Module linalg

Linear algebra operations.

Enums

Ord

Order of the norm

Functions

cholesky

Compute the Cholesky decomposition of a real symmetric positive semi-definite matrix.

cholesky_device

Compute the Cholesky decomposition of a real symmetric positive semi-definite matrix.

cholesky_inv

Compute the inverse of a real symmetric positive semi-definite matrix using it’s Cholesky decomposition.

cholesky_inv_device

Compute the inverse of a real symmetric positive semi-definite matrix using it’s Cholesky decomposition.

cross

Compute the cross product of two arrays along a specified axis.

cross_device

Compute the cross product of two arrays along a specified axis.

eigh

Compute the eigenvalues and eigenvectors of a complex Hermitian or real symmetric matrix.

eigh_device

Compute the eigenvalues and eigenvectors of a complex Hermitian or real symmetric matrix.

eigvalsh

Compute the eigenvalues of a complex Hermitian or real symmetric matrix.

eigvalsh_device

Compute the eigenvalues of a complex Hermitian or real symmetric matrix.

inv

Compute the inverse of a square matrix. Returns an error if the input is not valid.

inv_device

Compute the inverse of a square matrix. Returns an error if the input is not valid.

lu

Compute the LU factorization of the given matrix A.

lu_device

Compute the LU factorization of the given matrix A.

lu_factor

Computes a compact representation of the LU factorization.

lu_factor_device

Computes a compact representation of the LU factorization.

norm

Matrix or vector norm.

norm_device

Matrix or vector norm.

norm_ord

Matrix or vector norm.

norm_ord_device

Matrix or vector norm.

norm_p

Compute p-norm of an Array

norm_p_device

Compute p-norm of an Array

pinv

Compute the (Moore-Penrose) pseudo-inverse of a matrix.

pinv_device

Compute the (Moore-Penrose) pseudo-inverse of a matrix.

qr

The QR factorization of the input matrix. Returns an error if the input is not valid.

qr_device

The QR factorization of the input matrix. Returns an error if the input is not valid.

solve

Compute the solution to a system of linear equations AX = B

solve_device

Compute the solution to a system of linear equations AX = B

solve_triangular

Computes the solution of a triangular system of linear equations AX = B

solve_triangular_device

Computes the solution of a triangular system of linear equations AX = B

svd

The Singular Value Decomposition (SVD) of the input matrix. Returns an error if the input is not valid.

svd_device

The Singular Value Decomposition (SVD) of the input matrix. Returns an error if the input is not valid.

tri_inv

Compute the inverse of a triangular square matrix.

tri_inv_device

Compute the inverse of a triangular square matrix.