rocsolver_sposv_strided_batched Interface Reference

rocsolver_sposv_strided_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sposv_strided_batched Interface Reference
hipfort_rocsolver::rocsolver_sposv_strided_batched Interface Reference

POSV_STRIDED_BATCHED solves a batch of symmetric/hermitian systems of n linear equations on n variables. More...

Public Member Functions

integer(kind(rocblas_status_success)) function rocsolver_sposv_strided_batched_ (handle, uplo, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sposv_strided_batched_full_rank (handle, uplo, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sposv_strided_batched_rank_0 (handle, uplo, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sposv_strided_batched_rank_1 (handle, uplo, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 

Detailed Description

POSV_STRIDED_BATCHED solves a batch of symmetric/hermitian systems of n linear equations on n variables.

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. Matrix \(A_j\) is first factorized as \(A_j=L_jL_j'\) or \(A_j=U_j'U_j\), depending on the value of uplo, using POTRF_STRIDED_BATCHED; then, the solution is computed with POTRS_STRIDED_BATCHED.

Parameters
[in]handlerocblas_handle.
[in]uplorocblas_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]nrocblas_int. n >= 0.
The order of the system, i.e. the number of columns and rows of all A_j matrices.
[in]nrhsrocblas_int. nrhs >= 0.
The number of right hand sides, i.e., the number of columns of all the matrices B_j.
[in]Apointer to type. Array on the GPU (the size depends on the value of strideA).
On entry, the symmetric/hermitian matrices A_j. On exit, if info[j] = 0, the factor L_j or U_j of the Cholesky factorization of A_j returned by POTRF_STRIDED_BATCHED.
[in]ldarocblas_int. lda >= n.
The leading dimension of matrices A_j.
[in]strideArocblas_stride.
Stride from the start of one matrix A_j to the next one A_(j+1). There is no restriction for the value of strideA. Normal use case is strideA >= lda*n.
[in,out]Bpointer to type. Array on the GPU (size depends on the value of strideB).
On entry, the right hand side matrices B_j. On exit, the solution matrix X_j of each system in the batch.
[in]ldbrocblas_int. ldb >= n.
The leading dimension of matrices B_j.
[in]strideBrocblas_stride.
Stride from the start of one matrix B_j to the next one B_(j+1). There is no restriction for the value of strideB. Normal use case is strideB >= ldb*nrhs.
[out]infopointer to rocblas_int. Array of batch_count integers on the GPU.
If info[j] = 0, successful exit. If info[j] = i > 0, the leading minor of order i of A_j is not positive definite. The j-th solution could not be computed.
[in]batch_countrocblas_int. batch_count >= 0.
Number of instances (systems) in the batch.

Member Function/Subroutine Documentation

◆ rocsolver_sposv_strided_batched_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_strided_batched::rocsolver_sposv_strided_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), value  A,
integer(c_int), value  lda,
integer(c_int64_t), value  strideA,
type(c_ptr), value  B,
integer(c_int), value  ldb,
integer(c_int64_t), value  strideB,
integer(c_int)  myInfo,
integer(c_int), value  batch_count 
)

◆ rocsolver_sposv_strided_batched_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_strided_batched::rocsolver_sposv_strided_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,
integer(c_int64_t)  strideA,
real(c_float), dimension(:,:), target  B,
integer(c_int)  ldb,
integer(c_int64_t)  strideB,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sposv_strided_batched_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_strided_batched::rocsolver_sposv_strided_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,
integer(c_int64_t)  strideA,
real(c_float), target  B,
integer(c_int)  ldb,
integer(c_int64_t)  strideB,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sposv_strided_batched_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_strided_batched::rocsolver_sposv_strided_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,
integer(c_int64_t)  strideA,
real(c_float), dimension(:), target  B,
integer(c_int)  ldb,
integer(c_int64_t)  strideB,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

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