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rocsolver_sorgqr Interface Reference

rocsolver_sorgqr Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_sorgqr Interface Reference
hipfort_rocsolver::rocsolver_sorgqr Interface Reference

ORGQR generates an m-by-n Matrix Q with orthonormal columns. More...

Public Member Functions

integer(kind(rocblas_status_success)) function rocsolver_sorgqr_ (handle, m, n, k, A, lda, ipiv)
 
integer(kind(rocblas_status_success)) function rocsolver_sorgqr_full_rank (handle, m, n, k, A, lda, ipiv)
 
integer(kind(rocblas_status_success)) function rocsolver_sorgqr_rank_0 (handle, m, n, k, A, lda, ipiv)
 
integer(kind(rocblas_status_success)) function rocsolver_sorgqr_rank_1 (handle, m, n, k, A, lda, ipiv)
 

Detailed Description

ORGQR generates an m-by-n Matrix Q with orthonormal columns.

(This is the blocked version of the algorithm).

The matrix Q is defined as the first n columns of the product of k Householder reflectors of order m

\[ Q = H_1H_2\cdots H_k \]

The Householder matrices \(H_i\) are never stored, they are computed from its corresponding Householder vectors \(v_i\) and scalars \(\text{ipiv}[i]\), as returned by GEQRF.

Parameters
[in]handlerocblas_handle.
[in]mrocblas_int. m >= 0.
The number of rows of the matrix Q.
[in]nrocblas_int. 0 <= n <= m.
The number of columns of the matrix Q.
[in]krocblas_int. 0 <= k <= n.
The number of Householder reflectors.
[in,out]Apointer to type. Array on the GPU of dimension lda*n.
On entry, the matrix A as returned by GEQRF, with the Householder vectors in the first k columns. On exit, the computed matrix Q.
[in]ldarocblas_int. lda >= m.
Specifies the leading dimension of A.
[in]ipivpointer to type. Array on the GPU of dimension at least k.
The Householder scalars as returned by GEQRF.

Member Function/Subroutine Documentation

◆ rocsolver_sorgqr_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgqr::rocsolver_sorgqr_ ( type(c_ptr), value  handle,
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 
)

◆ rocsolver_sorgqr_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgqr::rocsolver_sorgqr_full_rank ( type(c_ptr)  handle,
integer(c_int)  m,
integer(c_int)  n,
integer(c_int)  k,
real(c_float), dimension(:,:), target  A,
integer(c_int)  lda,
real(c_float), dimension(:), target  ipiv 
)

◆ rocsolver_sorgqr_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgqr::rocsolver_sorgqr_rank_0 ( type(c_ptr)  handle,
integer(c_int)  m,
integer(c_int)  n,
integer(c_int)  k,
real(c_float), target  A,
integer(c_int)  lda,
real(c_float), target  ipiv 
)

◆ rocsolver_sorgqr_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgqr::rocsolver_sorgqr_rank_1 ( type(c_ptr)  handle,
integer(c_int)  m,
integer(c_int)  n,
integer(c_int)  k,
real(c_float), dimension(:), target  A,
integer(c_int)  lda,
real(c_float), dimension(:), target  ipiv 
)

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