rocsolver_spotrs_batched Interface 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) |
Detailed Description
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.
Member Function/Subroutine Documentation
◆ rocsolver_spotrs_batched_()
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 | ||
) |
◆ rocsolver_spotrs_batched_full_rank()
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 | ||
) |
◆ rocsolver_spotrs_batched_rank_0()
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 | ||
) |
◆ rocsolver_spotrs_batched_rank_1()
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: