Linear Algebra

Matrix and vector products

cupy.cross	Returns the cross product of two vectors.
cupy.dot	Returns a dot product of two arrays.
cupy.vdot	Returns the dot product of two vectors.
cupy.inner	Returns the inner product of two arrays.
cupy.outer	Returns the outer product of two vectors.
cupy.matmul	Returns the matrix product of two arrays and is the implementation of the @ operator introduced in Python 3.5 following PEP465.
cupy.tensordot	Returns the tensor dot product of two arrays along specified axes.
cupy.einsum	Evaluates the Einstein summation convention on the operands.
cupy.linalg.matrix_power	Raise a square matrix to the (integer) power n.
cupy.kron	Returns the kronecker product of two arrays.
cupyx.scipy.linalg.kron	Kronecker product.

Decompositions

cupy.linalg.cholesky	Cholesky decomposition.
cupy.linalg.qr	QR decomposition.
cupy.linalg.svd	Singular Value Decomposition.

Matrix eigenvalues

cupy.linalg.eigh	Eigenvalues and eigenvectors of a symmetric matrix.
cupy.linalg.eigvalsh	Calculates eigenvalues of a symmetric matrix.

Norms etc.

cupy.linalg.det	Returns the determinant of an array.
cupy.linalg.norm	Returns one of matrix norms specified by ord parameter.
cupy.linalg.matrix_rank	Return matrix rank of array using SVD method
cupy.linalg.slogdet	Returns sign and logarithm of the determinant of an array.
cupy.trace	Returns the sum along the diagonals of an array.

Solving linear equations

cupy.linalg.solve	Solves a linear matrix equation.
cupy.linalg.tensorsolve	Solves tensor equations denoted by ax = b.
cupy.linalg.lstsq	Return the least-squares solution to a linear matrix equation.
cupy.linalg.inv	Computes the inverse of a matrix.
cupy.linalg.pinv	Compute the Moore-Penrose pseudoinverse of a matrix.
cupy.linalg.tensorinv	Computes the inverse of a tensor.
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
cupyx.scipy.linalg.solve_triangular	Solve the equation a x = b for x, assuming a is a triangular matrix.

Special Matrices

cupy.tri	Creates an array with ones at and below the given diagonal.
cupy.tril	Returns a lower triangle of an array.
cupy.triu	Returns an upper triangle of an array.
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.
cupyx.scipy.linalg.toeplitz	Construct a Toeplitz matrix.
cupyx.scipy.linalg.circulant	Construct a circulant matrix.
cupyx.scipy.linalg.hankel	Construct a Hankel matrix.
cupyx.scipy.linalg.hadamard	Construct an Hadamard matrix.
cupyx.scipy.linalg.leslie	Create a Leslie matrix.
cupyx.scipy.linalg.block_diag	Create a block diagonal matrix from provided arrays.
cupyx.scipy.linalg.companion	Create a companion 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.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.convolution_matrix	Construct a convolution matrix.