rocsolver_spotrs_batched Interface Reference

rocsolver_spotrs_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_spotrs_batched Interface Reference

POTRS_BATCHED solves a batch of symmetric/hermitian systems of n linear equations on n variables in its factorized forms. More...

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

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

integer(kind(rocblas_status_success)) function	rocsolver_spotrs_batched_rank_0 (handle, uplo, n, nrhs, A, lda, B, ldb, batch_count)

integer(kind(rocblas_status_success)) function	rocsolver_spotrs_batched_rank_1 (handle, uplo, n, nrhs, A, lda, B, ldb, batch_count)

POTRS_BATCHED solves a batch of symmetric/hermitian systems of n linear equations on n variables in its factorized forms.

For each instance j in the batch, it solves the system

\[ A_j X_j = B_j \]

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

\[ \begin{array}{cl} A_j = U_j'U_j & \: \text{if uplo is upper, or}\newline A_j = L_jL_j' & \: \text{if uplo is lower.} \end{array} \]

as returned by POTRF_BATCHED.

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 all A_j matrices.
[in]	nrhs	rocblas_int. nrhs >= 0. The number of right hand sides, i.e., the number of columns of all the matrices B_j.
[in]	A	Array of pointers to type. Each pointer points to an array on the GPU of dimension lda*n. The factor L_j or U_j of the Cholesky factorization of A_j returned by POTRF_BATCHED.
[in]	lda	rocblas_int. lda >= n. The leading dimension of matrices A_j.
[in,out]	B	Array of pointers to type. Each pointer points to an array on the GPU of dimension ldb*nrhs. On entry, the right hand side matrices B_j. On exit, the solution matrix X_j of each system in the batch.
[in]	ldb	rocblas_int. ldb >= n. The leading dimension of matrices B_j.
[in]	batch_count	rocblas_int. batch_count >= 0. Number of instances (systems) in the batch.

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs_batched::rocsolver_spotrs_batched_	(	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)	A,
		integer(c_int), value	lda,
		type(c_ptr)	B,
		integer(c_int), value	ldb,
		integer(c_int), value	batch_count
	)

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs_batched::rocsolver_spotrs_batched_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(c_int)	batch_count
	)

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs_batched::rocsolver_spotrs_batched_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(c_int)	batch_count
	)

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_spotrs_batched::rocsolver_spotrs_batched_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,
		integer(c_int)	batch_count
	)

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