# rocsolver_sposv_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sposv_batched Interface Reference
hipfort_rocsolver::rocsolver_sposv_batched Interface Reference

POSV_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_batched_ (handle, uplo, n, nrhs, A, lda, B, ldb, myInfo, batch_count)

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

integer(kind(rocblas_status_success)) function rocsolver_sposv_batched_rank_0 (handle, uplo, n, nrhs, A, lda, B, ldb, myInfo, batch_count)

integer(kind(rocblas_status_success)) function rocsolver_sposv_batched_rank_1 (handle, uplo, n, nrhs, A, lda, B, ldb, myInfo, batch_count)

## Detailed Description

POSV_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_BATCHED; then, the solution is computed with POTRS_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. 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_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. [out] info pointer 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_count rocblas_int. batch_count >= 0. Number of instances (systems) in the batch.

## ◆ rocsolver_sposv_batched_()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_batched::rocsolver_sposv_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) myInfo, integer(c_int), value batch_count )

## ◆ rocsolver_sposv_batched_full_rank()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_batched::rocsolver_sposv_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) myInfo, integer(c_int) batch_count )

## ◆ rocsolver_sposv_batched_rank_0()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_batched::rocsolver_sposv_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) myInfo, integer(c_int) batch_count )

## ◆ rocsolver_sposv_batched_rank_1()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sposv_batched::rocsolver_sposv_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) myInfo, integer(c_int) batch_count )

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