norm

Computes a vector or matrix norm.

vector_norm

Computes a vector norm.

matrix_norm

Computes a matrix norm.

diagonal

Alias fortorch.diagonal() with defaultsdim1= -2,dim2= -1.

det

Computes the determinant of a square matrix.

slogdet

Computes the sign and natural logarithm of the absolute value of the determinant of a square matrix.

cond

Computes the condition number of a matrix with respect to a matrix norm.

matrix_rank

Computes the numerical rank of a matrix.

cholesky

Computes the Cholesky decomposition of a complex Hermitian or real symmetric positive-definite matrix.

qr

Computes the QR decomposition of a matrix.

lu

Computes the LU decomposition with partial pivoting of a matrix.

lu_factor

Computes a compact representation of the LU factorization with partial pivoting of a matrix.

eig

Computes the eigenvalue decomposition of a square matrix if it exists.

eigvals

Computes the eigenvalues of a square matrix.

eigh

Computes the eigenvalue decomposition of a complex Hermitian or real symmetric matrix.

eigvalsh

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

svd

Computes the singular value decomposition (SVD) of a matrix.

svdvals

Computes the singular values of a matrix.

solve

Computes the solution of a square system of linear equations with a unique solution.

solve_triangular

Computes the solution of a triangular system of linear equations with a unique solution.

lu_solve

Computes the solution of a square system of linear equations with a unique solution given an LU decomposition.

lstsq

Computes a solution to the least squares problem of a system of linear equations.

inv

Computes the inverse of a square matrix if it exists.

pinv

Computes the pseudoinverse (Moore-Penrose inverse) of a matrix.

matrix_exp

Computes the matrix exponential of a square matrix.

matrix_power

Computes then-th power of a square matrix for an integern.

cross

Computes the cross product of two 3-dimensional vectors.

matmul

Alias fortorch.matmul()

vecdot

Computes the dot product of two batches of vectors along a dimension.

multi_dot

Efficiently multiplies two or more matrices by reordering the multiplications so that the fewest arithmetic operations are performed.

householder_product

Computes the firstn columns of a product of Householder matrices.

tensorinv

Computes the multiplicative inverse oftorch.tensordot().

tensorsolve

Computes the solutionX to the systemtorch.tensordot(A, X) = B.

vander

Generates a Vandermonde matrix.

cholesky_ex

Computes the Cholesky decomposition of a complex Hermitian or real symmetric positive-definite matrix.

inv_ex

Computes the inverse of a square matrix if it is invertible.

solve_ex

A version ofsolve() that does not perform error checks unlesscheck_errors= True.

lu_factor_ex

This is a version oflu_factor() that does not perform error checks unlesscheck_errors= True.

ldl_factor

Computes a compact representation of the LDL factorization of a Hermitian or symmetric (possibly indefinite) matrix.

ldl_factor_ex

This is a version ofldl_factor() that does not perform error checks unlesscheck_errors= True.

ldl_solve

Computes the solution of a system of linear equations using the LDL factorization.