Introduction to hipSOLVER API

Note

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

The following tables summarize the wrapper functions that are implemented in the regular API for the different supported precisions in latest hipSOLVER release. Most of these functions have a corresponding version in the compatibility APIs, where applicable.

LAPACK auxiliary functions

Table 1 Orthonormal matrices

Function	single	double	single complex	double complex
hipsolverXorgbr_bufferSize	x	x
hipsolverXorgbr	x	x
hipsolverXorgqr_bufferSize	x	x
hipsolverXorgqr	x	x
hipsolverXorgtr_bufferSize	x	x
hipsolverXorgtr	x	x
hipsolverXormqr_bufferSize	x	x
hipsolverXormqr	x	x
hipsolverXormtr_bufferSize	x	x
hipsolverXormtr	x	x

Table 2 Unitary matrices

Function	single	double	single complex	double complex
hipsolverXungbr_bufferSize			x	x
hipsolverXungbr			x	x
hipsolverXungqr_bufferSize			x	x
hipsolverXungqr			x	x
hipsolverXungtr_bufferSize			x	x
hipsolverXungtr			x	x
hipsolverXunmqr_bufferSize			x	x
hipsolverXunmqr			x	x
hipsolverXunmtr_bufferSize			x	x
hipsolverXunmtr			x	x

LAPACK main functions

Table 3 Triangular factorizations

Function	single	double	single complex	double complex
hipsolverXpotrf_bufferSize	x	x	x	x
hipsolverXpotrf	x	x	x	x
hipsolverXpotrfBatched_bufferSize	x	x	x	x
hipsolverXpotrfBatched	x	x	x	x
hipsolverXgetrf_bufferSize	x	x	x	x
hipsolverXgetrf	x	x	x	x
hipsolverXsytrf_bufferSize	x	x	x	x
hipsolverXsytrf	x	x	x	x

Table 4 Orthogonal factorizations

Function	single	double	single complex	double complex
hipsolverXgeqrf_bufferSize	x	x	x	x
hipsolverXgeqrf	x	x	x	x

Table 5 Problem and matrix reductions

Function	single	double	single complex	double complex
hipsolverXsytrd_bufferSize	x	x
hipsolverXsytrd	x	x
hipsolverXhetrd_bufferSize			x	x
hipsolverXhetrd			x	x
hipsolverXgebrd_bufferSize	x	x	x	x
hipsolverXgebrd	x	x	x	x

Table 6 Linear-systems solvers

Function	single	double	single complex	double complex
hipsolverXpotri_bufferSize	x	x	x	x
hipsolverXpotri	x	x	x	x
hipsolverXpotrs_bufferSize	x	x	x	x
hipsolverXpotrs	x	x	x	x
hipsolverXpotrsBatched_bufferSize	x	x	x	x
hipsolverXpotrsBatched	x	x	x	x
hipsolverXgetrs_bufferSize	x	x	x	x
hipsolverXgetrs	x	x	x	x
hipsolverXXgesv_bufferSize	x	x	x	x
hipsolverXXgesv	x	x	x	x

Table 7 Least-square solvers

Function	single	double	single complex	double complex
hipsolverXXgels_bufferSize	x	x	x	x
hipsolverXXgels	x	x	x	x

Table 8 Symmetric eigensolvers

Function	single	double	single complex	double complex
hipsolverXsyevd_bufferSize	x	x
hipsolverXsyevd	x	x
hipsolverXsygvd_bufferSize	x	x
hipsolverXsygvd	x	x
hipsolverXheevd_bufferSize			x	x
hipsolverXheevd			x	x
hipsolverXhegvd_bufferSize			x	x
hipsolverXhegvd			x	x

Table 9 Singular value decomposition

Function	single	double	single complex	double complex
hipsolverXgesvd_bufferSize	x	x	x	x
hipsolverXgesvd	x	x	x	x

LAPACK-like functions

Table 10 Symmetric eigensolvers

Function	single	double	single complex	double complex
hipsolverXsyevdx_bufferSize	x	x
hipsolverXsyevdx	x	x
hipsolverXsyevj_bufferSize	x	x
hipsolverXsyevj	x	x
hipsolverXsyevjBatched_bufferSize	x	x
hipsolverXsyevjBatched	x	x
hipsolverXsygvdx_bufferSize	x	x
hipsolverXsygvdx	x	x
hipsolverXsygvj_bufferSize	x	x
hipsolverXsygvj	x	x
hipsolverXheevdx_bufferSize			x	x
hipsolverXheevdx			x	x
hipsolverXheevj_bufferSize			x	x
hipsolverXheevj			x	x
hipsolverXheevjBatched_bufferSize			x	x
hipsolverXheevjBatched			x	x
hipsolverXhegvdx_bufferSize			x	x
hipsolverXhegvdx			x	x
hipsolverXhegvj_bufferSize			x	x
hipsolverXhegvj			x	x

Table 11 Singular value decomposition

Function	single	double	single complex	double complex
hipsolverDnXgesvdj_bufferSize	x	x	x	x
hipsolverDnXgesvdj	x	x	x	x
hipsolverDnXgesvdjBatched_bufferSize	x	x	x	x
hipsolverDnXgesvdjBatched	x	x	x	x

Compatibility-only functions

The following tables summarize the wrapper functions that are provided only in the compatibility APIs. These wrappers are supported in rocSOLVER but either by equivalent functions that use different algorithmic approaches, or by functionality that is not fully exposed in the public API. For these reasons, at present, the corresponding wrappers are not provided in the regular hipSOLVER API.

Partial SVD functions

Partial SVD has been implemented in rocSOLVER, but at present it does not use an approximate algorithm, nor does it compute the residual norm.

Table 12 Singular value decomposition

Function	single	double	single complex	double complex
hipsolverDnXgesvdaStridedBatched_bufferSize	x	x	x	x
hipsolverDnXgesvdaStridedBatched	x	x	x	x

Sparse matrix routines

Sparse matrix routines and direct solvers for sparse matrices are in the very earliest stages of development. Due to unsupported backend functionality, there are a number of intricacies and possible performance implications that users will want to be aware of when using these routines. Refer to the hipsolverSp compatibility API for more details and a full listing of supported functions.

Table 13 Combined factorization and linear-system solvers

Function	single	double	single complex	double complex
hipsolverSpXcsrlsvcholHost	x	x
hipsolverSpXcsrlsvchol	x	x
hipsolverSpXcsrlsvqr	x	x

Refactorization routines

Refactorization routines and direct solvers for sparse matrices are in the very earliest stages of development. Due to unsupported backend functionality, there are a number of intricacies and possible performance implications that users will want to be aware of when using these routines. Refer to the hipsolverRf compatibility API for more details and a full listing of supported functions.

Table 14 Triangular factorizations

Function	single	double	single complex	double complex
hipsolverRfRefactor	x	x
hipsolverRfBatchRefactor	x	x

Table 15 linear-system solvers

Function	single	double	single complex	double complex
hipsolverRfSolve	x	x
hipsolverRfBatchSolve	x	x