rocsolver_sgelqf Interface Reference

• hipfort_rocsolver
• rocsolver_sgelqf

Public Member Functions | List of all members

hipfort_rocsolver::rocsolver_sgelqf Interface Reference

! More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_sgelqf_full_rank (handle, m, n, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_sgelqf_orig (handle, m, n, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_sgelqf_rank_0 (handle, m, n, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_sgelqf_rank_1 (handle, m, n, A, lda, ipiv)

Detailed Description

!

GELQF computes a LQ factorization of a general m-by-n matrix A.

(This is the blocked version of the algorithm).

The factorization has the form

A = [ L 0 ]  Q

where L is lower triangular (lower trapezoidal if m > n), and Q is a n-by-n orthogonalunitary matrix represented as the product of Householder matrices

Q = H(k)  H(k-1)  ...  H(1), with k = min(m,n)

Each Householder matrix H(i), for i = 1,2,...,k, is given by

H(i) = I - ipiv[i-1]  v(i)'  v(i)

where the first i-1 elements of the Householder vector v(i) are zero, and v(i)[i] = 1.

Parameters

[in]	handle	rocblas_handle.
[in]	m	rocblas_int. m >= 0. The number of rows of the matrix A.
[in]	n	rocblas_int. n >= 0. The number of columns of the matrix A.
[in,out]	A	pointer to type. Array on the GPU of dimension ldan. On entry, the m-by-n matrix to be factored. On exit, the elements on and below the diagonal contain the factor L; the elements above the diagonal are the n - i elements of vector v(i) for i = 1,2,...,min(m,n).
[in]	lda	rocblas_int. lda >= m. Specifies the leading dimension of A.
[out]	ipiv	pointer to type. Array on the GPU of dimension min(m,n). The scalar factors of the Householder matrices H(i).

Member Function/Subroutine Documentation

◆ rocsolver_sgelqf_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_full_rank	(	type(c_ptr), value	handle,
		integer(c_int), value	m,
		integer(c_int), value	n,
		real(c_float), dimension(:,:), target	A,
		integer(c_int), value	lda,
		real(c_float), dimension(:), target	ipiv
	)

◆ rocsolver_sgelqf_orig()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_orig	(	type(c_ptr), value	handle,
		integer(c_int), value	m,
		integer(c_int), value	n,
		type(c_ptr), value	A,
		integer(c_int), value	lda,
		type(c_ptr), value	ipiv
	)

◆ rocsolver_sgelqf_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_rank_0	(	type(c_ptr), value	handle,
		integer(c_int), value	m,
		integer(c_int), value	n,
		real(c_float), target	A,
		integer(c_int), value	lda,
		real(c_float), target	ipiv
	)

◆ rocsolver_sgelqf_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_rank_1	(	type(c_ptr), value	handle,
		integer(c_int), value	m,
		integer(c_int), value	n,
		real(c_float), dimension(:), target	A,
		integer(c_int), value	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