rocsolver_sorgqr Interface Reference

• hipfort_rocsolver
• rocsolver_sorgqr

Public Member Functions | List of all members

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]	handle	rocblas_handle.
[in]	m	rocblas_int. m >= 0. The number of rows of the matrix Q.
[in]	n	rocblas_int. 0 <= n <= m. The number of columns of the matrix Q.
[in]	k	rocblas_int. 0 <= k <= n. The number of Householder reflectors.
[in,out]	A	pointer 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]	lda	rocblas_int. lda >= m. Specifies the leading dimension of A.
[in]	ipiv	pointer 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
	)

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

• hipfort_rocsolver.f