rocsolver_sorgtr Interface Reference#
hipfort_rocsolver::rocsolver_sorgtr Interface Reference
The ORGTR functions generate an n-by-n orthogonal Matrix Q.
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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_rank_0 (handle, uplo, n, a, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgtr_rank_1 (handle, uplo, n, a, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgtr_full_rank (handle, uplo, n, a, lda, ipiv) |
Detailed Description
The ORGTR functions generate 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
\[ Q = H(n-1)H(n-2)\cdots H(1) \]
However, if uplo indicates lower, then Q has the form
\[ Q = H(1)H(2)\cdots H(n-1) \]
The Householder matrices \(H(i)\) are never stored. They are computed from the 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: