Linear Algebra

Matrix and vector products

dpnp.dot	Dot product of a and b.
dpnp.linalg.multi_dot	Compute the dot product of two or more arrays in a single function call.
dpnp.vdot	Return the dot product of two vectors.
dpnp.inner	Returns the inner product of two arrays.
dpnp.outer	Returns the outer product of two arrays.
dpnp.matmul	Matrix product of two arrays.
dpnp.tensordot	Compute tensor dot product along specified axes.
dpnp.einsum	Evaluates the Einstein summation convention on the operands.
dpnp.einsum_path	Evaluates the lowest cost contraction order for an einsum expression by considering the creation of intermediate arrays.
dpnp.linalg.matrix_power	Raise a square matrix to the (integer) power count.
dpnp.kron	Returns the kronecker product of two arrays.

Decompositions

dpnp.linalg.cholesky	Cholesky decomposition.
dpnp.linalg.qr	Compute the qr factorization of a matrix.
dpnp.linalg.svd	Singular Value Decomposition.

Matrix eigenvalues

dpnp.linalg.eig	Compute the eigenvalues and right eigenvectors of a square array.
dpnp.linalg.eigh	Return the eigenvalues and eigenvectors of a complex Hermitian (conjugate symmetric) or a real symmetric matrix.
dpnp.linalg.eigvals	Compute the eigenvalues of a general matrix.

Norms and other numbers

dpnp.linalg.norm	Matrix or vector norm.
dpnp.linalg.cond	Compute the condition number of a matrix.
dpnp.linalg.det	Compute the determinant of an array.
dpnp.linalg.matrix_rank	Return matrix rank of array using SVD method.
dpnp.linalg.slogdet	Compute the sign and (natural) logarithm of the determinant of an array.
dpnp.trace	Return the sum along diagonals of the array.

Solving linear equations

dpnp.linalg.solve	Solve a linear matrix equation, or system of linear scalar equations.
dpnp.linalg.inv	Compute the (multiplicative) inverse of a matrix.
dpnp.linalg.pinv	Compute the (Moore-Penrose) pseudo-inverse of a matrix.