rocsolver_sgetrf_strided_batched Interface Reference

rocsolver_sgetrf_strided_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sgetrf_strided_batched Interface Reference
hipfort_rocsolver::rocsolver_sgetrf_strided_batched Interface Reference

GETRF_STRIDED_BATCHED computes the LU factorization of a batch of general m-by-n matrices using partial pivoting with row interchanges. More...

Public Member Functions

integer(kind(rocblas_status_success)) function rocsolver_sgetrf_strided_batched_ (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrf_strided_batched_full_rank (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrf_strided_batched_rank_0 (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgetrf_strided_batched_rank_1 (handle, m, n, A, lda, strideA, ipiv, strideP, myInfo, batch_count)
 

Detailed Description

GETRF_STRIDED_BATCHED computes the LU factorization of a batch of general m-by-n matrices using partial pivoting with row interchanges.

(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

\[ A_i = P_iL_iU_i \]

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

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]ipivpointer to rocblas_int. Array on the GPU (the size depends on the value of strideP).
Contains the vectors of pivots indices ipiv_i (corresponding to A_i). Dimension of ipiv_i is min(m,n). Elements of ipiv_i are 1-based indices. For each instance A_i in the batch and for 1 <= j <= min(m,n), the row j of the matrix A_i was interchanged with row ipiv_i[j]. Matrix P_i of the factorization can be derived from ipiv_i.
[in]strideProcblas_stride.
Stride from the start of one vector ipiv_i to the next one ipiv_(i+1). There is no restriction for the value of strideP. Normal use case is strideP >= min(m,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 pivot.
[in]batch_countrocblas_int. batch_count >= 0.
Number of matrices in the batch.

Member Function/Subroutine Documentation

◆ rocsolver_sgetrf_strided_batched_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_strided_batched::rocsolver_sgetrf_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,
type(c_ptr), value  ipiv,
integer(c_int64_t), value  strideP,
integer(c_int)  myInfo,
integer(c_int), value  batch_count 
)

◆ rocsolver_sgetrf_strided_batched_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_strided_batched::rocsolver_sgetrf_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), dimension(:), target  ipiv,
integer(c_int64_t)  strideP,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sgetrf_strided_batched_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_strided_batched::rocsolver_sgetrf_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), target  ipiv,
integer(c_int64_t)  strideP,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sgetrf_strided_batched_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgetrf_strided_batched::rocsolver_sgetrf_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), dimension(:), target  ipiv,
integer(c_int64_t)  strideP,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

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