rocsolver_sorgtr Interface Reference#
hipfort_rocsolver::rocsolver_sorgtr Interface Reference
ORGTR generates an n-by-n orthogonal Matrix Q. More...
Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgtr_ (handle, uplo, n, A, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgtr_full_rank (handle, uplo, n, A, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgtr_rank_0 (handle, uplo, n, A, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgtr_rank_1 (handle, uplo, n, A, lda, ipiv) |
Detailed Description
ORGTR generates an n-by-n orthogonal Matrix Q.
Q is defined as the product of n-1 Householder reflectors of order n. If uplo indicates upper, then Q has the form
\[ Q = H_{n-1}H_{n-2}\cdots H_1 \]
On the other hand, if uplo indicates lower, then Q has the form
\[ Q = H_1H_2\cdots H_{n-1} \]
The Householder matrices \(H_i\) are never stored, they are computed from its corresponding Householder vectors \(v_i\) and scalars \(\text{ipiv}[i]\), as returned by SYTRD in its arguments A and tau.
- Parameters
-
[in] handle rocblas_handle. [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] n rocblas_int. n >= 0.
The number of rows and columns of the matrix Q.[in,out] A pointer to type. Array on the GPU of dimension lda*n.
On entry, the Householder vectors as returned by SYTRD. On exit, the computed matrix Q.[in] lda rocblas_int. lda >= n.
Specifies the leading dimension of A.[in] ipiv pointer to type. Array on the GPU of dimension n-1.
The Householder scalars as returned by SYTRD.
Member Function/Subroutine Documentation
◆ rocsolver_sorgtr_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgtr::rocsolver_sorgtr_ | ( | type(c_ptr), value | handle, |
| integer(kind(rocblas_fill_upper)), value | uplo, | ||
| integer(c_int), value | n, | ||
| type(c_ptr), value | A, | ||
| integer(c_int), value | lda, | ||
| type(c_ptr), value | ipiv | ||
| ) |
◆ rocsolver_sorgtr_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgtr::rocsolver_sorgtr_full_rank | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_fill_upper)) | uplo, | ||
| integer(c_int) | n, | ||
| real(c_float), dimension(:,:), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv | ||
| ) |
◆ rocsolver_sorgtr_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgtr::rocsolver_sorgtr_rank_0 | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_fill_upper)) | uplo, | ||
| integer(c_int) | n, | ||
| real(c_float), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), target | ipiv | ||
| ) |
◆ rocsolver_sorgtr_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgtr::rocsolver_sorgtr_rank_1 | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_fill_upper)) | uplo, | ||
| integer(c_int) | n, | ||
| real(c_float), dimension(:), target | A, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv | ||
| ) |
The documentation for this interface was generated from the following file: