LAPACK-like Extensions Routines

oneAPI Math Kernel Library DPC++ provides additional routines to extend the functionality of the LAPACK routines. These include routines to compute many independent factorizations, linear equation solutions, and similar. The following table lists the LAPACK-like Extensions routine groups.

Routines	Scratchpad Size Routines	Description
geqrf_batch	geqrf_batch_scratchpad_size	Computes the QR factorizations of a batch of general matrices.
getrf_batch	getrf_batch_scratchpad_size	Computes the LU factorizations of a batch of general matrices.
getri_batch	getri_batch_scratchpad_size	Computes the inverses of a batch of LU-factored general matrices.
getrs_batch	getrs_batch_scratchpad_size	Solves systems of linear equations with a batch of LU-factored square coefficient matrices, with multiple right-hand sides.
orgqr_batch	orgqr_batch_scratchpad_size	Generates the real orthogonal/complex unitary matrix \(Q_i\) of the QR factorization formed by geqrf_batch.
potrf_batch	potrf_batch_scratchpad_size	Computes the Cholesky factorization of a batch of symmetric (Hermitian) positive-definite matrices.
potrs_batch	potrs_batch_scratchpad_size	Solves systems of linear equations with a batch of Cholesky-factored symmetric (Hermitian) positive-definite coefficient matrices, with multiple right-hand sides.
ungqr_batch	ungqr_batch_scratchpad_size	Generates the complex unitary matrix \(Q_i\) with the QR factorization formed by geqrf_batch.