Linear Algebra

Matrix and vector products

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.

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	Retruns the deteminant 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.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.