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