rocsolver_spotrs Interface Reference

rocsolver_spotrs Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_spotrs Interface Reference

POTRS solves a symmetric/hermitian system of n linear equations on n variables in its factorized form. More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_spotrs_ (handle, uplo, n, nrhs, A, lda, B, ldb)

integer(kind(rocblas_status_success)) function	rocsolver_spotrs_full_rank (handle, uplo, n, nrhs, A, lda, B, ldb)

integer(kind(rocblas_status_success)) function	rocsolver_spotrs_rank_0 (handle, uplo, n, nrhs, A, lda, B, ldb)

integer(kind(rocblas_status_success)) function	rocsolver_spotrs_rank_1 (handle, uplo, n, nrhs, A, lda, B, ldb)

POTRS solves a symmetric/hermitian system of n linear equations on n variables in its factorized form.

It solves the system

\[ A X = B \]

where A is a real symmetric (complex hermitian) positive definite matrix defined by its triangular factor

\[ \begin{array}{cl} A = U'U & \: \text{if uplo is upper, or}\newline A = LL' & \: \text{if uplo is lower.} \end{array} \]

as returned by POTRF.

Parameters

[in]	handle	rocblas_handle.
[in]	uplo	rocblas_fill. Specifies whether the factorization is upper or lower triangular. If uplo indicates lower (or upper), then the upper (or lower) part of A is not used.
[in]	n	rocblas_int. n >= 0. The order of the system, i.e. the number of columns and rows of A.
[in]	nrhs	rocblas_int. nrhs >= 0. The number of right hand sides, i.e., the number of columns of the matrix B.
[in]	A	pointer to type. Array on the GPU of dimension lda*n. The factor L or U of the Cholesky factorization of A returned by POTRF.
[in]	lda	rocblas_int. lda >= n. The leading dimension of A.
[in,out]	B	pointer to type. Array on the GPU of dimension ldb*nrhs. On entry, the right hand side matrix B. On exit, the solution matrix X.
[in]	ldb	rocblas_int. ldb >= n. The leading dimension of B.

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs::rocsolver_spotrs_	(	type(c_ptr), value	handle,
		integer(kind(rocblas_fill_upper)), value	uplo,
		integer(c_int), value	n,
		integer(c_int), value	nrhs,
		type(c_ptr), value	A,
		integer(c_int), value	lda,
		type(c_ptr), value	B,
		integer(c_int), value	ldb
	)

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs::rocsolver_spotrs_full_rank	(	type(c_ptr)	handle,
		integer(kind(rocblas_fill_upper))	uplo,
		integer(c_int)	n,
		integer(c_int)	nrhs,
		real(c_float), dimension(:,:), target	A,
		integer(c_int)	lda,
		real(c_float), dimension(:,:), target	B,
		integer(c_int)	ldb
	)

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs::rocsolver_spotrs_rank_0	(	type(c_ptr)	handle,
		integer(kind(rocblas_fill_upper))	uplo,
		integer(c_int)	n,
		integer(c_int)	nrhs,
		real(c_float), target	A,
		integer(c_int)	lda,
		real(c_float), target	B,
		integer(c_int)	ldb
	)

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs::rocsolver_spotrs_rank_1	(	type(c_ptr)	handle,
		integer(kind(rocblas_fill_upper))	uplo,
		integer(c_int)	n,
		integer(c_int)	nrhs,
		real(c_float), dimension(:), target	A,
		integer(c_int)	lda,
		real(c_float), dimension(:), target	B,
		integer(c_int)	ldb
	)

The documentation for this interface was generated from the following file: