# rocsolver_cunm2l Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_cunm2l Interface Reference
hipfort_rocsolver::rocsolver_cunm2l Interface Reference

UNM2L multiplies a complex matrix Q with orthonormal columns by a general m-by-n matrix C. More...

## Public Member Functions

integer(kind(rocblas_status_success)) function rocsolver_cunm2l_ (handle, side, trans, m, n, k, A, lda, ipiv, C, ldc)

integer(kind(rocblas_status_success)) function rocsolver_cunm2l_full_rank (handle, side, trans, m, n, k, A, lda, ipiv, C, ldc)

integer(kind(rocblas_status_success)) function rocsolver_cunm2l_rank_0 (handle, side, trans, m, n, k, A, lda, ipiv, C, ldc)

integer(kind(rocblas_status_success)) function rocsolver_cunm2l_rank_1 (handle, side, trans, m, n, k, A, lda, ipiv, C, ldc)

## Detailed Description

UNM2L multiplies a complex matrix Q with orthonormal columns by a general m-by-n matrix C.

(This is the unblocked version of the algorithm).

The matrix Q is applied in one of the following forms, depending on the values of side and trans:

$\begin{array}{cl} QC & \: \text{No transpose from the left,}\newline Q^HC & \: \text{Conjugate transpose from the left,}\newline CQ & \: \text{No transpose from the right, and}\newline CQ^H & \: \text{Conjugate transpose from the right.} \end{array}$

Q is defined as the product of k Householder reflectors

$Q = H_kH_{k-1}\cdots H_1$

of order m if applying from the left, or n if applying from the right. Q is never stored, it is calculated from the Householder vectors and scalars returned by the QL factorization GEQLF.

Parameters
 [in] handle rocblas_handle. [in] side rocblas_side. Specifies from which side to apply Q. [in] trans rocblas_operation. Specifies whether the matrix Q or its conjugate transpose is to be applied. [in] m rocblas_int. m >= 0. Number of rows of matrix C. [in] n rocblas_int. n >= 0. Number of columns of matrix C. [in] k rocblas_int. k >= 0; k <= m if side is left, k <= n if side is right. The number of Householder reflectors that form Q. [in] A pointer to type. Array on the GPU of size lda*k. The Householder vectors as returned by GEQLF in the last k columns of its argument A. [in] lda rocblas_int. lda >= m if side is left, lda >= n if side is right. Leading dimension of A. [in] ipiv pointer to type. Array on the GPU of dimension at least k. The Householder scalars as returned by GEQLF. [in,out] C pointer to type. Array on the GPU of size ldc*n. On entry, the matrix C. On exit, it is overwritten with Q*C, C*Q, Q'*C, or C*Q'. [in] ldc rocblas_int. ldc >= m. Leading dimension of C.

## ◆ rocsolver_cunm2l_()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunm2l::rocsolver_cunm2l_ ( type(c_ptr), value handle, integer(kind(rocblas_side_left)), value side, integer(kind(rocblas_operation_none)), value trans, integer(c_int), value m, integer(c_int), value n, integer(c_int), value k, type(c_ptr), value A, integer(c_int), value lda, type(c_ptr), value ipiv, type(c_ptr), value C, integer(c_int), value ldc )

## ◆ rocsolver_cunm2l_full_rank()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunm2l::rocsolver_cunm2l_full_rank ( type(c_ptr) handle, integer(kind(rocblas_side_left)) side, integer(kind(rocblas_operation_none)) trans, integer(c_int) m, integer(c_int) n, integer(c_int) k, complex(c_float_complex), dimension(:,:), target A, integer(c_int) lda, complex(c_float_complex), dimension(:), target ipiv, complex(c_float_complex), dimension(:,:), target C, integer(c_int) ldc )

## ◆ rocsolver_cunm2l_rank_0()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunm2l::rocsolver_cunm2l_rank_0 ( type(c_ptr) handle, integer(kind(rocblas_side_left)) side, integer(kind(rocblas_operation_none)) trans, integer(c_int) m, integer(c_int) n, integer(c_int) k, complex(c_float_complex), target A, integer(c_int) lda, complex(c_float_complex), target ipiv, complex(c_float_complex), target C, integer(c_int) ldc )

## ◆ rocsolver_cunm2l_rank_1()

 integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunm2l::rocsolver_cunm2l_rank_1 ( type(c_ptr) handle, integer(kind(rocblas_side_left)) side, integer(kind(rocblas_operation_none)) trans, integer(c_int) m, integer(c_int) n, integer(c_int) k, complex(c_float_complex), dimension(:), target A, integer(c_int) lda, complex(c_float_complex), dimension(:), target ipiv, complex(c_float_complex), dimension(:), target C, integer(c_int) ldc )

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