rocsolver_slarft Interface Reference

• hipfort_rocsolver
• rocsolver_slarft

Public Member Functions | List of all members

hipfort_rocsolver::rocsolver_slarft Interface Reference

LARFT generates the triangular factor T of a block reflector H of order n. More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_slarft_ (handle, myDirect, storev, n, k, V, ldv, tau, T, ldt)
integer(kind(rocblas_status_success)) function	rocsolver_slarft_full_rank (handle, myDirect, storev, n, k, V, ldv, tau, T, ldt)
integer(kind(rocblas_status_success)) function	rocsolver_slarft_rank_0 (handle, myDirect, storev, n, k, V, ldv, tau, T, ldt)
integer(kind(rocblas_status_success)) function	rocsolver_slarft_rank_1 (handle, myDirect, storev, n, k, V, ldv, tau, T, ldt)

Detailed Description

LARFT generates the triangular factor T of a block reflector H of order n.

The block reflector H is defined as the product of k Householder matrices

\[ \begin{array}{cl} H = H_1H_2\cdots H_k & \: \text{if direct indicates forward direction, or} \newline H = H_k\cdots H_2H_1 & \: \text{if direct indicates backward direction} \end{array} \]

The triangular factor T is upper triangular in the forward direction and lower triangular in the backward direction. If storev is column-wise, then

\[ H = I - VTV' \]

where the i-th column of matrix V contains the Householder vector associated with \(H_i\). If storev is row-wise, then

\[ H = I - V'TV \]

where the i-th row of matrix V contains the Householder vector associated with \(H_i\).

Parameters

[in]	handle	rocblas_handle.
[in]	direct	rocblas_direct. Specifies the direction in which the Householder matrices are applied.
[in]	storev	rocblas_storev. Specifies how the Householder vectors are stored in matrix V.
[in]	n	rocblas_int. n >= 0. The order (size) of the block reflector.
[in]	k	rocblas_int. k >= 1. The number of Householder matrices forming H.
[in]	V	pointer to type. Array on the GPU of size ldv*k if column-wise, or ldv*n if row-wise. The matrix of Householder vectors.
[in]	ldv	rocblas_int. ldv >= n if column-wise, or ldv >= k if row-wise. Leading dimension of V.
[in]	tau	pointer to type. Array of k scalars on the GPU. The vector of all the Householder scalars.
[out]	T	pointer to type. Array on the GPU of dimension ldt*k. The triangular factor. T is upper triangular if direct indicates forward direction, otherwise it is lower triangular. The rest of the array is not used.
[in]	ldt	rocblas_int. ldt >= k. The leading dimension of T.

Member Function/Subroutine Documentation

◆ rocsolver_slarft_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_slarft::rocsolver_slarft_	(	type(c_ptr), value	handle,
		integer(kind(rocblas_forward_direction)), value	myDirect,
		integer(kind(rocblas_column_wise)), value	storev,
		integer(c_int), value	n,
		integer(c_int), value	k,
		type(c_ptr), value	V,
		integer(c_int), value	ldv,
		real(c_float)	tau,
		type(c_ptr), value	T,
		integer(c_int), value	ldt
	)

◆ rocsolver_slarft_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_slarft::rocsolver_slarft_full_rank	(	type(c_ptr)	handle,
		integer(kind(rocblas_forward_direction))	myDirect,
		integer(kind(rocblas_column_wise))	storev,
		integer(c_int)	n,
		integer(c_int)	k,
		real(c_float), dimension(:,:), target	V,
		integer(c_int)	ldv,
		real(c_float)	tau,
		real(c_float), dimension(:,:), target	T,
		integer(c_int)	ldt
	)

◆ rocsolver_slarft_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_slarft::rocsolver_slarft_rank_0	(	type(c_ptr)	handle,
		integer(kind(rocblas_forward_direction))	myDirect,
		integer(kind(rocblas_column_wise))	storev,
		integer(c_int)	n,
		integer(c_int)	k,
		real(c_float), target	V,
		integer(c_int)	ldv,
		real(c_float)	tau,
		real(c_float), target	T,
		integer(c_int)	ldt
	)

◆ rocsolver_slarft_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_slarft::rocsolver_slarft_rank_1	(	type(c_ptr)	handle,
		integer(kind(rocblas_forward_direction))	myDirect,
		integer(kind(rocblas_column_wise))	storev,
		integer(c_int)	n,
		integer(c_int)	k,
		real(c_float), dimension(:), target	V,
		integer(c_int)	ldv,
		real(c_float)	tau,
		real(c_float), dimension(:), target	T,
		integer(c_int)	ldt
	)

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

• hipfort_rocsolver.f