rocsolver_sgetrf_npvt_strided_batched Interface Reference

rocsolver_sgetrf_npvt_strided_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sgetrf_npvt_strided_batched Interface Reference
hipfort_rocsolver::rocsolver_sgetrf_npvt_strided_batched Interface Reference

GETRF_NPVT_STRIDED_BATCHED computes the LU factorization of a batch of general m-by-n matrices without partial pivoting. More...

Public Member Functions

integer(kind(rocblas_status_success)) function rocsolver_sgetrf_npvt_strided_batched_ (handle, m, n, A, lda, strideA, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrf_npvt_strided_batched_full_rank (handle, m, n, A, lda, strideA, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrf_npvt_strided_batched_rank_0 (handle, m, n, A, lda, strideA, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrf_npvt_strided_batched_rank_1 (handle, m, n, A, lda, strideA, myInfo, batch_count)
 

Detailed Description

GETRF_NPVT_STRIDED_BATCHED computes the LU factorization of a batch of general m-by-n matrices without partial pivoting.

(This is the blocked Level-3-BLAS version of the algorithm. An optimized internal implementation without rocBLAS calls could be executed with mid-size matrices if optimizations are enabled (default option). For more details, see the "Tuning rocSOLVER performance" section of the Library Design Guide).

The factorization of matrix \(A_i\) in the batch has the form

\[ A_i = L_iU_i \]

where \(L_i\) is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and \(U_i\) is upper triangular (upper trapezoidal if m < n).

Note: Although this routine can offer better performance, Gaussian elimination without pivoting is not backward stable. If numerical accuracy is compromised, use the legacy-LAPACK-like API GETRF_STRIDED_BATCHED routines instead.

Parameters
[in]handlerocblas_handle.
[in]mrocblas_int. m >= 0.
The number of rows of all matrices A_i in the batch.
[in]nrocblas_int. n >= 0.
The number of columns of all matrices A_i in the batch.
[in,out]Apointer to type. Array on the GPU (the size depends on the value of strideA).
On entry, the m-by-n matrices A_i to be factored. On exit, the factors L_i and U_i from the factorization. The unit diagonal elements of L_i are not stored.
[in]ldarocblas_int. lda >= m.
Specifies the leading dimension of matrices A_i.
[in]strideArocblas_stride.
Stride from the start of one matrix A_i to the next one A_(i+1). There is no restriction for the value of strideA. Normal use case is strideA >= lda*n
[out]infopointer to rocblas_int. Array of batch_count integers on the GPU.
If info[i] = 0, successful exit for factorization of A_i. If info[i] = j > 0, U_i is singular. U_i[j,j] is the first zero element in the diagonal. The factorization from this point might be incomplete.
[in]batch_countrocblas_int. batch_count >= 0.
Number of matrices in the batch.

Member Function/Subroutine Documentation

◆ rocsolver_sgetrf_npvt_strided_batched_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_npvt_strided_batched::rocsolver_sgetrf_npvt_strided_batched_ ( type(c_ptr), value  handle,
integer(c_int), value  m,
integer(c_int), value  n,
type(c_ptr), value  A,
integer(c_int), value  lda,
integer(c_int64_t), value  strideA,
integer(c_int)  myInfo,
integer(c_int), value  batch_count 
)

◆ rocsolver_sgetrf_npvt_strided_batched_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_npvt_strided_batched::rocsolver_sgetrf_npvt_strided_batched_full_rank ( type(c_ptr)  handle,
integer(c_int)  m,
integer(c_int)  n,
real(c_float), dimension(:,:), target  A,
integer(c_int)  lda,
integer(c_int64_t)  strideA,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sgetrf_npvt_strided_batched_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_npvt_strided_batched::rocsolver_sgetrf_npvt_strided_batched_rank_0 ( type(c_ptr)  handle,
integer(c_int)  m,
integer(c_int)  n,
real(c_float), target  A,
integer(c_int)  lda,
integer(c_int64_t)  strideA,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sgetrf_npvt_strided_batched_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_npvt_strided_batched::rocsolver_sgetrf_npvt_strided_batched_rank_1 ( type(c_ptr)  handle,
integer(c_int)  m,
integer(c_int)  n,
real(c_float), dimension(:), target  A,
integer(c_int)  lda,
integer(c_int64_t)  strideA,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

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