rocsolver_sgetrs_npvt_strided_batched Interface Reference

rocsolver_sgetrs_npvt_strided_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sgetrs_npvt_strided_batched Interface Reference

The GETRS_NPVT_STRIDED_BATCHED functions solve a batch of systems of n linear equations on n variables in its factorized forms. More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_sgetrs_npvt_strided_batched_ (handle, trans, n, nrhs, a, lda, stridea, b, ldb, strideb, batch_count)

Detailed Description

The GETRS_NPVT_STRIDED_BATCHED functions solve a batch of systems of n linear equations on n variables in its factorized forms.

For each instance l in the batch, it solves one of the following systems, depending on the value of trans:

\[ \begin{array}{cl} A_l X_l = B_l & \: \text{not transposed,}\\% A_l^T X_l^{} = B_l^{} & \: \text{transposed, or}\\% A_l^H X_l^{} = B_l^{} & \: \text{conjugate transposed.} \end{array} \]

Matrix \(A_l\) is defined by its triangular factors, as returned by GETRF_NPVT_STRIDED_BATCHED.

Parameters

[in]	handle	- rocblas_handle.
[in]	trans	- rocblas_operation. Specifies the form of the system of equations of each instance in the batch.
[in]	n	- rocblas_int. n >= 0. The order of the system, that is, the number of columns and rows of all A_l matrices.
[in]	nrhs	- rocblas_int. nrhs >= 0. The number of right hand sides, that is, the number of columns of all the matrices B_l.
[in]	A	- pointer to type. Array on the GPU (the size depends on the value of strideA). The factors L_l and U_l of the factorization A_l = L_l*U_l returned by GETRF_NPVT_STRIDED_BATCHED.
[in]	lda	- rocblas_int. lda >= n. The leading dimension of matrices A_l.
[in]	strideA	- rocblas_stride. Stride from the start of one matrix A_l to the next one A_(l+1). There is no restriction for the value of strideA. The normal use case is strideA >= lda*n.
[in,out]	B	- pointer to type. Array on the GPU (size depends on the value of strideB). On entry, the right hand side matrices B_l. On exit, the solution matrix X_l of each system in the batch.
[in]	ldb	- rocblas_int. ldb >= n. The leading dimension of matrices B_l.
[in]	strideB	- rocblas_stride. Stride from the start of one matrix B_l to the next one B_(l+1). There is no restriction for the value of strideB. The normal use case is strideB >= ldb*nrhs.
[in]	batch_count	- rocblas_int. batch_count >= 0. Number of instances (systems) in the batch.

Member Function/Subroutine Documentation