rocsolver_sgetrs_batched Interface Reference

rocsolver_sgetrs_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sgetrs_batched Interface Reference
hipfort_rocsolver::rocsolver_sgetrs_batched Interface Reference

GETRS_BATCHED solves 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_batched_ (handle, trans, n, nrhs, A, lda, ipiv, strideP, B, ldb, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrs_batched_full_rank (handle, trans, n, nrhs, A, lda, ipiv, strideP, B, ldb, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrs_batched_rank_0 (handle, trans, n, nrhs, A, lda, ipiv, strideP, B, ldb, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrs_batched_rank_1 (handle, trans, n, nrhs, A, lda, ipiv, strideP, B, ldb, batch_count)
 

Detailed Description

GETRS_BATCHED solves a batch of systems of n linear equations on n variables in its factorized forms.

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

\[ \begin{array}{cl} A_j X_j = B_j & \: \text{not transposed,}\newline A_j^T X_j = B_j & \: \text{transposed, or}\newline A_j^H X_j = B_j & \: \text{conjugate transposed.} \end{array} \]

Matrix \(A_j\) is defined by its triangular factors as returned by GETRF_BATCHED.

Parameters
[in]handlerocblas_handle.
[in]transrocblas_operation.
Specifies the form of the system of equations of each instance in the batch.
[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]AArray of pointers to type. Each pointer points to an array on the GPU of dimension lda*n.
The factors L_j and U_j of the factorization A_j = P_j*L_j*U_j returned by GETRF_BATCHED.
[in]ldarocblas_int. lda >= n.
The leading dimension of matrices A_j.
[in]ipivpointer to rocblas_int. Array on the GPU (the size depends on the value of strideP).
Contains the vectors ipiv_j of pivot indices returned by GETRF_BATCHED.
[in]strideProcblas_stride.
Stride from the start of one vector ipiv_j to the next one ipiv_(j+1). There is no restriction for the value of strideP. Normal use case is strideP >= n.
[in,out]BArray 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]ldbrocblas_int. ldb >= n.
The leading dimension of matrices B_j.
[in]batch_countrocblas_int. batch_count >= 0.
Number of instances (systems) in the batch.

Member Function/Subroutine Documentation

◆ rocsolver_sgetrs_batched_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrs_batched::rocsolver_sgetrs_batched_ ( type(c_ptr), value  handle,
integer(kind(rocblas_operation_none)), value  trans,
integer(c_int), value  n,
integer(c_int), value  nrhs,
type(c_ptr)  A,
integer(c_int), value  lda,
type(c_ptr), value  ipiv,
integer(c_int64_t), value  strideP,
type(c_ptr)  B,
integer(c_int), value  ldb,
integer(c_int), value  batch_count 
)

◆ rocsolver_sgetrs_batched_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrs_batched::rocsolver_sgetrs_batched_full_rank ( type(c_ptr)  handle,
integer(kind(rocblas_operation_none))  trans,
integer(c_int)  n,
integer(c_int)  nrhs,
real(c_float), dimension(:,:,:), target  A,
integer(c_int)  lda,
integer(c_int), dimension(:), target  ipiv,
integer(c_int64_t)  strideP,
real(c_float), dimension(:,:,:), target  B,
integer(c_int)  ldb,
integer(c_int)  batch_count 
)

◆ rocsolver_sgetrs_batched_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrs_batched::rocsolver_sgetrs_batched_rank_0 ( type(c_ptr)  handle,
integer(kind(rocblas_operation_none))  trans,
integer(c_int)  n,
integer(c_int)  nrhs,
real(c_float), target  A,
integer(c_int)  lda,
integer(c_int), target  ipiv,
integer(c_int64_t)  strideP,
real(c_float), target  B,
integer(c_int)  ldb,
integer(c_int)  batch_count 
)

◆ rocsolver_sgetrs_batched_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrs_batched::rocsolver_sgetrs_batched_rank_1 ( type(c_ptr)  handle,
integer(kind(rocblas_operation_none))  trans,
integer(c_int)  n,
integer(c_int)  nrhs,
real(c_float), dimension(:), target  A,
integer(c_int)  lda,
integer(c_int), dimension(:), target  ipiv,
integer(c_int64_t)  strideP,
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: