Linear Algebra

Matrix and vector products

dpnp.cross	Return the cross product of two (arrays of) vectors.
dpnp.dot	Returns the dot product of x1 and x2.
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.eigvals	Compute the eigenvalues of a general matrix.

Norms etc.

dpnp.linalg.det	Compute the determinant of an array.
dpnp.linalg.norm	Matrix or vector norm.
dpnp.linalg.matrix_rank	Return matrix rank of array Rank of the array is the number of singular values of the array that are greater than tol.
dpnp.trace	Return the sum along diagonals of the array.

Solving linear equations

dpnp.linalg.inv

Divide arguments element-wise.

Special Matrices

dpnp.tri	An array with ones at and below the given diagonal and zeros elsewhere.
dpnp.tril	Lower triangle of an array.
dpnp.triu	Upper triangle of an array.