rocsolver_sgebrd Interface Reference#
hipfort_rocsolver::rocsolver_sgebrd Interface Reference
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Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebrd_full_rank (handle, m, n, A, lda, D, E, tauq, taup) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebrd_orig (handle, m, n, A, lda, D, E, tauq, taup) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebrd_rank_0 (handle, m, n, A, lda, D, E, tauq, taup) |
| integer(kind(rocblas_status_success)) function | rocsolver_sgebrd_rank_1 (handle, m, n, A, lda, D, E, tauq, taup) |
Detailed Description
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GEBRD computes the bidiagonal form of a general m-by-n matrix A.
(This is the blocked version of the algorithm).
The bidiagonal form is given by:
B = Q' A P
where B is upper bidiagonal if m >= n and lower bidiagonal if m < n, and Q and P are orthogonalunitary matrices represented as the product of Householder matrices
Q = H(1) H(2) ... H(n) and P = G(1) G(2) ... G(n-1), if m >= n, or Q = H(1) H(2) ... H(m-1) and P = G(1) G(2) ... G(m), if m < n
Each Householder matrix H(i) and G(i) is given by
H(i) = I - tauq[i-1] v(i) v(i)', and G(i) = I - taup[i-1] u(i) u(i)'
If m >= n, the first i-1 elements of the Householder vector v(i) are zero, and v(i)[i] = 1; while the first i elements of the Householder vector u(i) are zero, and u(i)[i+1] = 1. If m < n, the first i elements of the Householder vector v(i) are zero, and v(i)[i+1] = 1; while the first i-1 elements of the Householder vector u(i) are zero, and u(i)[i] = 1.
- Parameters
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[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 ldan.
On entry, the m-by-n matrix to be factored. On exit, the elements on the diagonal and superdiagonal (if m >= n), or subdiagonal (if m < n) contain the bidiagonal form B. If m >= n, the elements below the diagonal are the m - i elements of vector v(i) for i = 1,2,...,n, and the elements above the superdiagonal are the n - i - 1 elements of vector u(i) for i = 1,2,...,n-1. If m < n, the elements below the subdiagonal are the m - i - 1 elements of vector v(i) for i = 1,2,...,m-1, and the elements above the diagonal are the n - i elements of vector u(i) for i = 1,2,...,m.[in] lda rocblas_int. lda >= m.
specifies the leading dimension of A.[out] D pointer to real type. Array on the GPU of dimension min(m,n).
The diagonal elements of B.[out] E pointer to real type. Array on the GPU of dimension min(m,n)-1.
The off-diagonal elements of B.[out] tauq pointer to type. Array on the GPU of dimension min(m,n).
The scalar factors of the Householder matrices H(i).[out] taup pointer to type. Array on the GPU of dimension min(m,n).
The scalar factors of the Householder matrices G(i).
Member Function/Subroutine Documentation
◆ rocsolver_sgebrd_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebrd::rocsolver_sgebrd_full_rank | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| real(c_float), dimension(:,:), target | A, | ||
| integer(c_int), value | lda, | ||
| real(c_float), dimension(:), target | D, | ||
| real(c_float), dimension(:), target | E, | ||
| real(c_float), dimension(:), target | tauq, | ||
| real(c_float), dimension(:), target | taup | ||
| ) |
◆ rocsolver_sgebrd_orig()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebrd::rocsolver_sgebrd_orig | ( | 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 | D, | ||
| type(c_ptr), value | E, | ||
| type(c_ptr), value | tauq, | ||
| type(c_ptr), value | taup | ||
| ) |
◆ rocsolver_sgebrd_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebrd::rocsolver_sgebrd_rank_0 | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| real(c_float), target | A, | ||
| integer(c_int), value | lda, | ||
| real(c_float), target | D, | ||
| real(c_float), target | E, | ||
| real(c_float), target | tauq, | ||
| real(c_float), target | taup | ||
| ) |
◆ rocsolver_sgebrd_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_sgebrd::rocsolver_sgebrd_rank_1 | ( | type(c_ptr), value | handle, |
| integer(c_int), value | m, | ||
| integer(c_int), value | n, | ||
| real(c_float), dimension(:), target | A, | ||
| integer(c_int), value | lda, | ||
| real(c_float), dimension(:), target | D, | ||
| real(c_float), dimension(:), target | E, | ||
| real(c_float), dimension(:), target | tauq, | ||
| real(c_float), dimension(:), target | taup | ||
| ) |
The documentation for this interface was generated from the following file: