rocsolver_cungbr Interface Reference

• hipfort_rocsolver
• rocsolver_cungbr

Public Member Functions | List of all members

hipfort_rocsolver::rocsolver_cungbr Interface Reference

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Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_cungbr_full_rank (handle, storev, m, n, k, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_cungbr_orig (handle, storev, m, n, k, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_cungbr_rank_0 (handle, storev, m, n, k, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_cungbr_rank_1 (handle, storev, m, n, k, A, lda, ipiv)

Detailed Description

!

UNGBR generates a m-by-n complex Matrix Q with orthonormal rows or columns.

If storev is column-wise, then the matrix Q has orthonormal columns. If m >= k, Q is defined as the first n columns of the product of k Householder reflectors of order m

Q = H(1)  H(2)  ...  H(k)

If m < k, Q is defined as the product of Householder reflectors of order m

Q = H(1)  H(2)  ...  H(m-1)

On the other hand, if storev is row-wise, then the matrix Q has orthonormal rows. If n > k, Q is defined as the first m rows of the product of k Householder reflectors of order n

Q = H(k)  H(k-1)  ...  H(1)

If n <= k, Q is defined as the product of Householder reflectors of order n

Q = H(n-1)  H(n-2)  ...  H(1)

The Householder matrices H(i) are never stored, they are computed from its corresponding Householder vectors v(i) and scalars ipiv_i as returned by GEBRD in its arguments A and tauq or taup.

Parameters

[in]	handle	rocblas_handle.
[in]	storev	#rocblas_storev. Specifies whether to work column-wise or row-wise.
[in]	m	rocblas_int. m >= 0. The number of rows of the matrix Q. If row-wise, then min(n,k) <= m <= n.
[in]	n	rocblas_int. n >= 0. The number of columns of the matrix Q. If column-wise, then min(m,k) <= n <= m.
[in]	k	rocblas_int. k >= 0. The number of columns (if storev is colum-wise) or rows (if row-wise) of the original matrix reduced by GEBRD.
[in,out]	A	pointer to type. Array on the GPU of dimension ldan. On entry, the i-th column (or row) has the Householder vector v(i) as returned by GEBRD. 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 min(m,k) if column-wise, or min(n,k) if row-wise. The scalar factors of the Householder matrices H(i) as returned by GEBRD.

Member Function/Subroutine Documentation

◆ rocsolver_cungbr_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungbr::rocsolver_cungbr_full_rank	(	type(c_ptr), value	handle,
		integer(kind(rocblas_column_wise)), value	storev,
		integer(c_int), value	m,
		integer(c_int), value	n,
		integer(c_int), value	k,
		complex(c_float_complex), dimension(:,:), target	A,
		integer(c_int), value	lda,
		complex(c_float_complex), dimension(:), target	ipiv
	)

◆ rocsolver_cungbr_orig()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungbr::rocsolver_cungbr_orig	(	type(c_ptr), value	handle,
		integer(kind(rocblas_column_wise)), value	storev,
		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_cungbr_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungbr::rocsolver_cungbr_rank_0	(	type(c_ptr), value	handle,
		integer(kind(rocblas_column_wise)), value	storev,
		integer(c_int), value	m,
		integer(c_int), value	n,
		integer(c_int), value	k,
		complex(c_float_complex), target	A,
		integer(c_int), value	lda,
		complex(c_float_complex), target	ipiv
	)

◆ rocsolver_cungbr_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungbr::rocsolver_cungbr_rank_1	(	type(c_ptr), value	handle,
		integer(kind(rocblas_column_wise)), value	storev,
		integer(c_int), value	m,
		integer(c_int), value	n,
		integer(c_int), value	k,
		complex(c_float_complex), dimension(:), target	A,
		integer(c_int), value	lda,
		complex(c_float_complex), dimension(:), target	ipiv
	)

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

• hipfort_rocsolver.f