# 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] handle rocblas_handle. [in] trans rocblas_operation. Specifies the form of the system of equations. [in] m rocblas_int. m >= 0. The number of rows of all matrices A_i in the batch. [in] n rocblas_int. n >= 0. The number of columns of all matrices A_i in the batch. [in] nrhs rocblas_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] A pointer 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] lda rocblas_int. lda >= m. Specifies the leading dimension of matrices A_i. [in] strideA rocblas_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] B pointer 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] ldb rocblas_int. ldb >= max(m,n). Specifies the leading dimension of matrices B_i. [in] strideB rocblas_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] info pointer 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_count rocblas_int. batch_count >= 0. Number of matrices in the batch.

## ◆ 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: