rocsolver_sgels_strided_batched Interface Reference

rocsolver_sgels_strided_batched Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sgels_strided_batched Interface Reference
hipfort_rocsolver::rocsolver_sgels_strided_batched Interface Reference

GELS_STRIDED_BATCHED solves a batch of overdetermined (or underdetermined) linear systems defined by a set of m-by-n matrices \(A_i\), and corresponding matrices \(B_i\), using the QR factorizations computed by GEQRF_STRIDED_BATCHED (or the LQ factorizations computed by GELQF_STRIDED_BATCHED). More...

Public Member Functions

integer(kind(rocblas_status_success)) function rocsolver_sgels_strided_batched_ (handle, trans, m, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgels_strided_batched_full_rank (handle, trans, m, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgels_strided_batched_rank_0 (handle, trans, m, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 
integer(kind(rocblas_status_success)) function rocsolver_sgels_strided_batched_rank_1 (handle, trans, m, n, nrhs, A, lda, strideA, B, ldb, strideB, myInfo, batch_count)
 

Detailed Description

GELS_STRIDED_BATCHED solves a batch of overdetermined (or underdetermined) linear systems defined by a set of m-by-n matrices \(A_i\), and corresponding matrices \(B_i\), using the QR factorizations computed by GEQRF_STRIDED_BATCHED (or the LQ factorizations computed by GELQF_STRIDED_BATCHED).

For each instance in the batch, depending on the value of trans, the problem solved by this function is either of the form

\[ \begin{array}{cl} A_i X_i = B_i & \: \text{not transposed, or}\newline A_i' X_i = B_i & \: \text{transposed if real, or conjugate transposed if complex} \end{array} \]

If m >= n (or m < n in the case of transpose/conjugate transpose), the system is overdetermined and a least-squares solution approximating X_i is found by minimizing

\[ || B_i - A_i X_i || \quad \text{(or} \: || B_i - A_i' X_i ||\text{)} \]

If m < n (or m >= n in the case of transpose/conjugate transpose), the system is underdetermined and a unique solution for X_i is chosen such that \(|| X_i ||\) is minimal.

Parameters
[in]handlerocblas_handle.
[in]transrocblas_operation.
Specifies the form of the system of equations.
[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]nrhsrocblas_int. nrhs >= 0.
The number of columns of all matrices B_i and X_i in the batch; i.e., the columns on the right hand side.
[in,out]Apointer to type. Array on the GPU (the size depends on the value of strideA).
On entry, the matrices A_i. On exit, the QR (or LQ) factorizations of A_i as returned by GEQRF_STRIDED_BATCHED (or GELQF_STRIDED_BATCHED).
[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
[in,out]Bpointer to type. Array on the GPU (the size depends on the value of strideB).
On entry, the matrices B_i. On exit, when info = 0, each B_i is overwritten by the solution vectors (and the residuals in the overdetermined cases) stored as columns.
[in]ldbrocblas_int. ldb >= max(m,n).
Specifies the leading dimension of matrices B_i.
[in]strideBrocblas_stride.
Stride from the start of one matrix B_i to the next one B_(i+1). There is no restriction for the value of strideB. Normal use case is strideB >= ldb*nrhs
[out]infopointer to rocblas_int. Array of batch_count integers on the GPU.
If info[i] = 0, successful exit for solution of A_i. If info[i] = j > 0, the solution of A_i could not be computed because input matrix A_i is rank deficient; the j-th diagonal element of its triangular factor is zero.
[in]batch_countrocblas_int. batch_count >= 0.
Number of matrices in the batch.

Member Function/Subroutine Documentation

◆ rocsolver_sgels_strided_batched_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgels_strided_batched::rocsolver_sgels_strided_batched_ ( type(c_ptr), value  handle,
integer(kind(rocblas_operation_none)), value  trans,
integer(c_int), value  m,
integer(c_int), value  n,
integer(c_int), value  nrhs,
type(c_ptr), value  A,
integer(c_int), value  lda,
integer(c_int64_t), value  strideA,
type(c_ptr), value  B,
integer(c_int), value  ldb,
integer(c_int64_t), value  strideB,
integer(c_int)  myInfo,
integer(c_int), value  batch_count 
)

◆ rocsolver_sgels_strided_batched_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgels_strided_batched::rocsolver_sgels_strided_batched_full_rank ( type(c_ptr)  handle,
integer(kind(rocblas_operation_none))  trans,
integer(c_int)  m,
integer(c_int)  n,
integer(c_int)  nrhs,
real(c_float), dimension(:,:), target  A,
integer(c_int)  lda,
integer(c_int64_t)  strideA,
real(c_float), dimension(:,:), target  B,
integer(c_int)  ldb,
integer(c_int64_t)  strideB,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sgels_strided_batched_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgels_strided_batched::rocsolver_sgels_strided_batched_rank_0 ( type(c_ptr)  handle,
integer(kind(rocblas_operation_none))  trans,
integer(c_int)  m,
integer(c_int)  n,
integer(c_int)  nrhs,
real(c_float), target  A,
integer(c_int)  lda,
integer(c_int64_t)  strideA,
real(c_float), target  B,
integer(c_int)  ldb,
integer(c_int64_t)  strideB,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

◆ rocsolver_sgels_strided_batched_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgels_strided_batched::rocsolver_sgels_strided_batched_rank_1 ( type(c_ptr)  handle,
integer(kind(rocblas_operation_none))  trans,
integer(c_int)  m,
integer(c_int)  n,
integer(c_int)  nrhs,
real(c_float), dimension(:), target  A,
integer(c_int)  lda,
integer(c_int64_t)  strideA,
real(c_float), dimension(:), target  B,
integer(c_int)  ldb,
integer(c_int64_t)  strideB,
integer(c_int)  myInfo,
integer(c_int)  batch_count 
)

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