1.1. Introduction

1.1.1. Library overview

rocSOLVER is an implementation of LAPACK routines on top of AMD’s open source ROCm platform. rocSOLVER is implemented in the HIP programming language and optimized for AMD’s latest discrete GPUs.

1.1.2. Currently implemented functionality

The rocSOLVER library is in the early stages of active development. New features are being continuously added, with new functionality documented at each release of the ROCm platform.

The following tables summarize the functionality implemented for the different supported precisions in rocSOLVER’s latest release. All LAPACK and LAPACK-like main functions include _batched and _strided_batched versions. For a complete description of the listed routines, please see the rocSOLVER API document.

1.1.2.1. LAPACK auxiliary functions

Table 1.1 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

Table 1.2 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

Table 1.3 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

Table 1.4 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

Table 1.5 Symmetric matrices

Function	single	double	single complex	double complex
rocsolver_lasyf	x	x	x	x

Table 1.6 Orthonormal matrices

Function	single	double	single complex	double complex
rocsolver_org2r	x	x
rocsolver_orgqr	x	x
rocsolver_orgl2	x	x
rocsolver_orglq	x	x
rocsolver_org2l	x	x
rocsolver_orgql	x	x
rocsolver_orgbr	x	x
rocsolver_orgtr	x	x
rocsolver_orm2r	x	x
rocsolver_ormqr	x	x
rocsolver_orml2	x	x
rocsolver_ormlq	x	x
rocsolver_orm2l	x	x
rocsolver_ormql	x	x
rocsolver_ormbr	x	x
rocsolver_ormtr	x	x

Table 1.7 Unitary matrices

Function	single	double	single complex	double complex
rocsolver_ung2r			x	x
rocsolver_ungqr			x	x
rocsolver_ungl2			x	x
rocsolver_unglq			x	x
rocsolver_ung2l			x	x
rocsolver_ungql			x	x
rocsolver_ungbr			x	x
rocsolver_ungtr			x	x
rocsolver_unm2r			x	x
rocsolver_unmqr			x	x
rocsolver_unml2			x	x
rocsolver_unmlq			x	x
rocsolver_unm2l			x	x
rocsolver_unmql			x	x
rocsolver_unmbr			x	x
rocsolver_unmtr			x	x

1.1.2.2. LAPACK main functions

Table 1.8 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

Table 1.9 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

Table 1.10 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

Table 1.11 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

Table 1.12 Least-square solvers

Function	single	double	single complex	double complex
rocsolver_gels	x	x	x	x

Table 1.13 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

Table 1.14 Singular value decomposition

Function	single	double	single complex	double complex
rocsolver_gesvd	x	x	x	x
rocsolver_gesvdx	x	x	x	x

1.1.2.3. LAPACK-like functions

Table 1.15 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

Table 1.16 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

Table 1.17 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

Table 1.18 Singular value decomposition

Function	single	double	single complex	double complex
rocsolver_gesvdj	x	x	x	x

1.1.2.4. Re-factorization and direct solvers

Table 1.19 Triangular re-factorization

Function	single	double	single complex	double complex
rocsolver_csrrf_sumlu	x	x
rocsolver_csrrf_splitlu	x	x
rocsolver_csrrf_refactlu	x	x

Table 1.20 Direct solvers

Function	single	double	single complex	double complex
rocsolver_csrrf_solve	x	x