Linear Algebra

Basics

cupyx.scipy.linalg.solve_triangular

Solve the equation a x = b for x, assuming a is a triangular matrix.

Decompositions

cupyx.scipy.linalg.lu_factor

LU decomposition.

cupyx.scipy.linalg.lu_solve

Solve an equation system, a * x = b, given the LU factorization of a

Special Matrices

cupyx.scipy.linalg.block_diag

Create a block diagonal matrix from provided arrays.

cupyx.scipy.linalg.circulant

Construct a circulant matrix.

cupyx.scipy.linalg.companion

Create a companion matrix.

cupyx.scipy.linalg.convolution_matrix

Construct a convolution matrix.

cupyx.scipy.linalg.dft

Discrete Fourier transform matrix.

cupyx.scipy.linalg.fiedler

Returns a symmetric Fiedler matrix

cupyx.scipy.linalg.fiedler_companion

Returns a Fiedler companion matrix

cupyx.scipy.linalg.hadamard

Construct an Hadamard matrix.

cupyx.scipy.linalg.hankel

Construct a Hankel matrix.

cupyx.scipy.linalg.helmert

Create an Helmert matrix of order n.

cupyx.scipy.linalg.hilbert

Create a Hilbert matrix of order n.

cupyx.scipy.linalg.kron

Kronecker product.

cupyx.scipy.linalg.leslie

Create a Leslie matrix.

cupyx.scipy.linalg.toeplitz

Construct a Toeplitz matrix.

cupyx.scipy.linalg.tri

Construct (N, M) matrix filled with ones at and below the k-th diagonal.

cupyx.scipy.linalg.tril

Make a copy of a matrix with elements above the k-th diagonal zeroed.

cupyx.scipy.linalg.triu

Make a copy of a matrix with elements below the k-th diagonal zeroed.