rocsolver_sormtr Interface Reference#
ORMTR multiplies an orthogonal matrix Q by a general m-by-n matrix C. More...
Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sormtr_ (handle, side, uplo, trans, m, n, A, lda, ipiv, C, ldc) |
| integer(kind(rocblas_status_success)) function | rocsolver_sormtr_full_rank (handle, side, uplo, trans, m, n, A, lda, ipiv, C, ldc) |
| integer(kind(rocblas_status_success)) function | rocsolver_sormtr_rank_0 (handle, side, uplo, trans, m, n, A, lda, ipiv, C, ldc) |
| integer(kind(rocblas_status_success)) function | rocsolver_sormtr_rank_1 (handle, side, uplo, trans, m, n, A, lda, ipiv, C, ldc) |
Detailed Description
ORMTR multiplies an orthogonal matrix Q by a general m-by-n matrix C.
The matrix Q is applied in one of the following forms, depending on the values of side and trans:
\[ \begin{array}{cl} QC & \: \text{No transpose from the left,}\newline Q^TC & \: \text{Transpose from the left,}\newline CQ & \: \text{No transpose from the right, and}\newline CQ^T & \: \text{Transpose from the right.} \end{array} \]
The order q of the orthogonal matrix Q is q = m if applying from the left, or q = n if applying from the right.
Q is defined as a product of q-1 Householder reflectors. If uplo indicates upper, then Q has the form
\[ Q = H_{q-1}H_{q-2}\cdots H_1. \]
On the other hand, if uplo indicates lower, then Q has the form
\[ Q = H_1H_2\cdots H_{q-1} \]
The Householder matrices \(H_i\) are never stored, they are computed from its corresponding Householder vectors and scalars as returned by SYTRD in its arguments A and tau.
- Parameters
-
[in] handle rocblas_handle. [in] side rocblas_side.
Specifies from which side to apply Q.[in] uplo rocblas_fill.
Specifies whether the SYTRD factorization was upper or lower triangular. If uplo indicates lower (or upper), then the upper (or lower) part of A is not used.[in] trans rocblas_operation.
Specifies whether the matrix Q or its transpose is to be applied.[in] m rocblas_int. m >= 0.
Number of rows of matrix C.[in] n rocblas_int. n >= 0.
Number of columns of matrix C.[in] A pointer to type. Array on the GPU of size lda*q.
On entry, the Householder vectors as returned by SYTRD.[in] lda rocblas_int. lda >= q.
Leading dimension of A.[in] ipiv pointer to type. Array on the GPU of dimension at least q-1.
The Householder scalars as returned by SYTRD.[in,out] C pointer to type. Array on the GPU of size ldc*n.
On entry, the matrix C. On exit, it is overwritten with Q*C, C*Q, Q'*C, or C*Q'.[in] ldc rocblas_int. ldc >= m.
Leading dimension of C.
Member Function/Subroutine Documentation
◆ rocsolver_sormtr_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sormtr::rocsolver_sormtr_ | ( | type(c_ptr), value | handle, |
| integer(kind(rocblas_side_left)), value | side, | ||
| integer(kind(rocblas_fill_upper)), value | uplo, | ||
| integer(kind(rocblas_operation_none)), value | trans, | ||
| 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, | ||
| type(c_ptr), value | C, | ||
| integer(c_int), value | ldc | ||
| ) |
◆ rocsolver_sormtr_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sormtr::rocsolver_sormtr_full_rank | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_side_left)) | side, | ||
| integer(kind(rocblas_fill_upper)) | uplo, | ||
| integer(kind(rocblas_operation_none)) | trans, | ||
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| real(c_float), dimension(:,:), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv, | ||
| real(c_float), dimension(:,:), target | C, | ||
| integer(c_int) | ldc | ||
| ) |
◆ rocsolver_sormtr_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sormtr::rocsolver_sormtr_rank_0 | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_side_left)) | side, | ||
| integer(kind(rocblas_fill_upper)) | uplo, | ||
| integer(kind(rocblas_operation_none)) | trans, | ||
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| real(c_float), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), target | ipiv, | ||
| real(c_float), target | C, | ||
| integer(c_int) | ldc | ||
| ) |
◆ rocsolver_sormtr_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sormtr::rocsolver_sormtr_rank_1 | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_side_left)) | side, | ||
| integer(kind(rocblas_fill_upper)) | uplo, | ||
| integer(kind(rocblas_operation_none)) | trans, | ||
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| real(c_float), dimension(:), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv, | ||
| real(c_float), dimension(:), target | C, | ||
| integer(c_int) | ldc | ||
| ) |
The documentation for this interface was generated from the following file: