# 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

Description

geqrf_batch

Computes the QR factorizations of a batch of general matrices.

getrf_batch

Computes the LU factorizations of a batch of general matrices.

getri_batch

Computes the inverses of a batch of LU-factored general matrices.

getrs_batch

Solves systems of linear equations with a batch of LU-factored square coefficient matrices, with multiple right-hand sides.

orgqr_batch

Generates the real orthogonal/complex unitary matrix $$Q_i$$ of the QR factorization formed by geqrf_batch.

potrf_batch

Computes the Cholesky factorization of a batch of symmetric (Hermitian) positive-definite matrices.

potrs_batch

Generates the complex unitary matrix $$Q_i$$ with the QR factorization formed by geqrf_batch.