rocSOLVER API summary#

The following tables summarize the functionality implemented for the different supported precisions in rocSOLVER. All LAPACK and LAPACK-like main functions include _batched and _strided_batched versions. For a complete description of the listed routines, see the corresponding reference guides.

Note

The rocSOLVER library is in the early stages of active development, with new features being continuously added and documented.

LAPACK auxiliary functions#

Vector and matrix manipulations#

Function

single

double

single complex

double complex

rocsolver_lacgv

x

x

x

x

rocsolver_laswp

x

x

x

x

rocsolver_lauum

x

x

x

x

Householder reflections#

Function

single

double

single complex

double complex

rocsolver_larfg

x

x

x

x

rocsolver_larf

x

x

x

x

rocsolver_larft

x

x

x

x

rocsolver_larfb

x

x

x

x

Givens (plane) rotations#

Function

single

double

single complex

double complex

rocsolver_lasr

x

x

x

x

Bidiagonal forms#

Function

single

double

single complex

double complex

rocsolver_labrd

x

x

x

x

rocsolver_bdsqr

x

x

x

x

rocsolver_bdsvdx

x

x

Tridiagonal forms#

Function

single

double

single complex

double complex

rocsolver_sterf

x

x

rocsolver_stebz

x

x

rocsolver_latrd

x

x

x

x

rocsolver_steqr

x

x

x

x

rocsolver_stedc

x

x

x

x

rocsolver_stein

x

x

x

x

Symmetric matrices#

Function

single

double

single complex

double complex

rocsolver_lasyf

x

x

x

x

LAPACK main functions#

Triangular factorizations#

Function

single

double

single complex

double complex

rocsolver_potf2

x

x

x

x

rocsolver_potrf

x

x

x

x

rocsolver_getf2

x

x

x

x

rocsolver_getrf

x

x

x

x

rocsolver_sytf2

x

x

x

x

rocsolver_sytrf

x

x

x

x

Orthogonal factorizations#

Function

single

double

single complex

double complex

rocsolver_geqr2

x

x

x

x

rocsolver_geqrf

x

x

x

x

rocsolver_gerq2

x

x

x

x

rocsolver_gerqf

x

x

x

x

rocsolver_gelq2

x

x

x

x

rocsolver_gelqf

x

x

x

x

rocsolver_geql2

x

x

x

x

rocsolver_geqlf

x

x

x

x

Problem and matrix reductions#

Function

single

double

single complex

double complex

rocsolver_sytd2

x

x

rocsolver_sytrd

x

x

rocsolver_sygs2

x

x

rocsolver_sygst

x

x

rocsolver_hetd2

x

x

rocsolver_hetrd

x

x

rocsolver_hegs2

x

x

rocsolver_hegst

x

x

rocsolver_gebd2

x

x

x

x

rocsolver_gebrd

x

x

x

x

Linear-systems solvers#

Function

single

double

single complex

double complex

rocsolver_trtri

x

x

x

x

rocsolver_getri

x

x

x

x

rocsolver_getrs

x

x

x

x

rocsolver_gesv

x

x

x

x

rocsolver_potri

x

x

x

x

rocsolver_potrs

x

x

x

x

rocsolver_posv

x

x

x

x

Least-square solvers#

Function

single

double

single complex

double complex

rocsolver_gels

x

x

x

x

Symmetric eigensolvers#

Function

single

double

single complex

double complex

rocsolver_syev

x

x

rocsolver_syevd

x

x

rocsolver_syevx

x

x

rocsolver_sygv

x

x

rocsolver_sygvd

x

x

rocsolver_sygvx

x

x

rocsolver_heev

x

x

rocsolver_heevd

x

x

rocsolver_heevx

x

x

rocsolver_hegv

x

x

rocsolver_hegvd

x

x

rocsolver_hegvx

x

x

Singular value decomposition#

Function

single

double

single complex

double complex

rocsolver_gesvd

x

x

x

x

rocsolver_gesvdx

x

x

x

x

LAPACK-like functions#

Triangular factorizations#

Function

single

double

single complex

double complex

rocsolver_getf2_npvt

x

x

x

x

rocsolver_getrf_npvt

x

x

x

x

rocsolver_geblttrf_npvt

x

x

x

x

Linear-systems solvers#

Function

single

double

single complex

double complex

rocsolver_getri_npvt

x

x

x

x

rocsolver_getri_outofplace

x

x

x

x

rocsolver_getri_npvt_outofplace

x

x

x

x

rocsolver_geblttrs_npvt

x

x

x

x

Symmetric eigensolvers#

Function

single

double

single complex

double complex

rocsolver_syevj

x

x

rocsolver_sygvj

x

x

rocsolver_heevj

x

x

rocsolver_hegvj

x

x

rocsolver_syevdj

x

x

rocsolver_sygvdj

x

x

rocsolver_heevdj

x

x

rocsolver_hegvdj

x

x

rocsolver_syevdx

x

x

rocsolver_sygvdx

x

x

rocsolver_heevdx

x

x

rocsolver_hegvdx

x

x

Singular value decomposition#

Function

single

double

single complex

double complex

rocsolver_gesvdj

x

x

x

x

Refactorization and direct solvers#

Triangular refactorization#

Function

single

double

single complex

double complex

rocsolver_csrrf_sumlu

x

x

rocsolver_csrrf_splitlu

x

x

rocsolver_csrrf_refactlu

x

x

rocsolver_csrrf_refactchol

x

x

Direct solvers#

Function

single

double

single complex

double complex

rocsolver_csrrf_solve

x

x