rocsolver_sorgql Interface Reference#
hipfort_rocsolver::rocsolver_sorgql Interface Reference
The ORGQL functions generate an m-by-n Matrix Q with orthonormal columns.
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Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgql_ (handle, m, n, k, a, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgql_rank_0 (handle, m, n, k, a, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgql_rank_1 (handle, m, n, k, a, lda, ipiv) |
| integer(kind(rocblas_status_success)) function | rocsolver_sorgql_full_rank (handle, m, n, k, a, lda, ipiv) |
Detailed Description
The ORGQL functions generate an m-by-n Matrix Q with orthonormal columns.
(This is the blocked version of the algorithm.)
The matrix Q is defined as the last n column of the product of k Householder reflectors of order m
\[ Q = H(k)H(k-1)\cdots H(1) \]
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 GEQLF.
- Parameters
-
[in] handle - rocblas_handle. [in] m - rocblas_int. m >= 0. The number of rows of the matrix Q. [in] n - rocblas_int. 0 <= n <= m. The number of columns of the matrix Q. [in] k - rocblas_int. 0 <= k <= n. The number of Householder reflectors. [in,out] A - pointer to type. Array on the GPU of dimension lda*n. On entry, the matrix A as returned by GEQLF, with the Householder vectors in the last k columns. On exit, the computed matrix Q. [in] lda - rocblas_int. lda >= m. Specifies the leading dimension of A. [in] ipiv - pointer to type. Array on the GPU of dimension at least k. The Householder scalars as returned by GEQLF.
Member Function/Subroutine Documentation
◆ rocsolver_sorgql_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgql::rocsolver_sorgql_ | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| integer(c_int), value | k, | ||
| type(c_ptr), value | a, | ||
| integer(c_int), value | lda, | ||
| type(c_ptr), value | ipiv | ||
| ) |
◆ rocsolver_sorgql_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgql::rocsolver_sorgql_full_rank | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| integer(c_int) | k, | ||
| real(c_float), dimension(:,:), target | a, | ||
| integer(c_int) | lda, | ||
| real(c_float), dimension(:), target | ipiv | ||
| ) |
◆ rocsolver_sorgql_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgql::rocsolver_sorgql_rank_0 | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| integer(c_int) | k, | ||
| real(c_float), target | a, | ||
| integer(c_int) | lda, | ||
| real(c_float), target | ipiv | ||
| ) |
◆ rocsolver_sorgql_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sorgql::rocsolver_sorgql_rank_1 | ( | type(c_ptr) | handle, |
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| integer(c_int) | k, | ||
| 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: