rocsolver_sgelqf Interface Reference#
hipfort_rocsolver::rocsolver_sgelqf Interface Reference
GELQF computes a LQ factorization of a general m-by-n matrix A. More...
Public Member Functions | |
integer(kind(rocblas_status_success)) function | rocsolver_sgelqf_ (handle, m, n, A, lda, ipiv) |
integer(kind(rocblas_status_success)) function | rocsolver_sgelqf_full_rank (handle, m, n, A, lda, ipiv) |
integer(kind(rocblas_status_success)) function | rocsolver_sgelqf_rank_0 (handle, m, n, A, lda, ipiv) |
integer(kind(rocblas_status_success)) function | rocsolver_sgelqf_rank_1 (handle, m, n, A, lda, ipiv) |
Detailed Description
GELQF computes a LQ factorization of a general m-by-n matrix A.
(This is the blocked version of the algorithm).
The factorization has the form
\[ A = \left[\begin{array}{cc} L & 0 \end{array}\right] Q \]
where L is lower triangular (lower trapezoidal if m > n), and Q is a n-by-n orthogonal/unitary matrix represented as the product of Householder matrices
\[ Q = H_k'H_{k-1}' \cdots H_1', \quad \text{with} \: k = \text{min}(m,n). \]
Each Householder matrix \(H_i\) is given by
\[ H_i = I - \text{ipiv}[i] \cdot v_i' v_i \]
where the first i-1 elements of the Householder vector \(v_i\) are zero, and \(v_i[i] = 1\).
- Parameters
-
[in] handle rocblas_handle. [in] m rocblas_int. m >= 0.
The number of rows of the matrix A.[in] n rocblas_int. n >= 0.
The number of columns of the matrix A.[in,out] A pointer to type. Array on the GPU of dimension lda*n.
On entry, the m-by-n matrix to be factored. On exit, the elements on and below the diagonal contain the factor L; the elements above the diagonal are the last n - i elements of Householder vector v_i.[in] lda rocblas_int. lda >= m.
Specifies the leading dimension of A.[out] ipiv pointer to type. Array on the GPU of dimension min(m,n).
The Householder scalars.
Member Function/Subroutine Documentation
◆ rocsolver_sgelqf_()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_ | ( | type(c_ptr), value | handle, |
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 | ||
) |
◆ rocsolver_sgelqf_full_rank()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_full_rank | ( | type(c_ptr) | handle, |
integer(c_int) | m, | ||
integer(c_int) | n, | ||
real(c_float), dimension(:,:), target | A, | ||
integer(c_int) | lda, | ||
real(c_float), dimension(:), target | ipiv | ||
) |
◆ rocsolver_sgelqf_rank_0()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_rank_0 | ( | type(c_ptr) | handle, |
integer(c_int) | m, | ||
integer(c_int) | n, | ||
real(c_float), target | A, | ||
integer(c_int) | lda, | ||
real(c_float), target | ipiv | ||
) |
◆ rocsolver_sgelqf_rank_1()
integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgelqf::rocsolver_sgelqf_rank_1 | ( | type(c_ptr) | handle, |
integer(c_int) | m, | ||
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: