rocsolver_cunmbr Interface Reference#
The UNMBR functions multiply a complex matrix Q with orthonormal rows or columns by a general m-by-n matrix C.
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Public Member Functions | |
| integer(kind(rocblas_status_success)) function | rocsolver_cunmbr_ (handle, storev, side, trans, m, n, k, a, lda, ipiv, c, ldc) |
| integer(kind(rocblas_status_success)) function | rocsolver_cunmbr_rank_0 (handle, storev, side, trans, m, n, k, a, lda, ipiv, c, ldc) |
| integer(kind(rocblas_status_success)) function | rocsolver_cunmbr_rank_1 (handle, storev, side, trans, m, n, k, a, lda, ipiv, c, ldc) |
| integer(kind(rocblas_status_success)) function | rocsolver_cunmbr_full_rank (handle, storev, side, trans, m, n, k, a, lda, ipiv, c, ldc) |
Detailed Description
The UNMBR functions multiply a complex matrix Q with orthonormal rows or columns by a general m-by-n matrix C.
If storev is column-wise, then the matrix Q has orthonormal columns. If storev is row-wise, then the matrix Q has orthonormal rows. The matrix Q is applied in one of the following forms, depending on the values of side and trans:
\[ \begin{array}{cl} QC & \: \text{No transpose from the left,}\\% Q^H C & \: \text{Conjugate transpose from the left,}\\% CQ & \: \text{No transpose from the right, and}\\% CQ^H & \: \text{Conjugate transpose from the right.} \end{array} \]
The order q of the unitary matrix Q is q = m if applying from the left, or q = n if applying from the right.
When storev is column-wise, if q >= k, then Q is defined as the product of k Householder reflectors
\[ Q = H(1)H(2)\cdots H(k), \]
and if q < k, then Q is defined as the product
\[ Q = H(1)H(2)\cdots H(q-1). \]
When storev is row-wise, if q > k, then Q is defined as the product of k Householder reflectors
\[ Q = H(1)H(2)\cdots H(k), \]
and if q <= k, Q is defined as the product
\[ Q = H(1)H(2)\cdots H(q-1). \]
The Householder matrices \(H(i)\) are never stored. They are computed from their corresponding Householder vectors and scalars as returned by GEBRD in its arguments A and tauq or taup.
- Parameters
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[in] handle - rocblas_handle. [in] storev - rocblas_storev. Specifies whether to work column-wise or row-wise.[in] side - rocblas_side. Specifies from which side to apply Q. [in] trans - rocblas_operation. Specifies whether the matrix Q or its conjugate transpose is to be applied. [in] m - rocblas_int. m >= 0. Number of rows of matrix C. [in] n - rocblas_int. n >= 0. Number of columns of matrix C. [in] k - rocblas_int. k >= 0. The number of columns (if storev is column-wise) or rows (if row-wise) of the original matrix reduced by GEBRD. [in] A - pointer to type. Array on the GPU of size lda*min(q,k) if column-wise, or lda*q if row-wise. The Householder vectors as returned by GEBRD. [in] lda - rocblas_int. lda >= q if column-wise, or lda >= min(q,k) if row-wise. Leading dimension of A. [in] ipiv - pointer to type. Array on the GPU of dimension at least min(q,k). The Householder scalars as returned by GEBRD. [in,out] C - pointer to type. Array on the GPU of size ldc*n. On entry, the matrix C. On exit, it is overwritten with \(QC\), \(CQ\), \(Q^H C\), or \(CQ^H\). [in] ldc - rocblas_int. ldc >= m. Leading dimension of C.
Member Function/Subroutine Documentation
◆ rocsolver_cunmbr_()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunmbr::rocsolver_cunmbr_ | ( | type(c_ptr), value | handle, |
| integer(kind(rocblas_column_wise)), value | storev, | ||
| integer(kind(rocblas_side_left)), value | side, | ||
| integer(kind(rocblas_operation_none)), value | trans, | ||
| 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, | ||
| type(c_ptr), value | c, | ||
| integer(c_int), value | ldc | ||
| ) |
◆ rocsolver_cunmbr_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunmbr::rocsolver_cunmbr_full_rank | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_column_wise)) | storev, | ||
| integer(kind(rocblas_side_left)) | side, | ||
| integer(kind(rocblas_operation_none)) | trans, | ||
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| integer(c_int) | k, | ||
| complex(c_float_complex), dimension(:,:), target | a, | ||
| integer(c_int) | lda, | ||
| complex(c_float_complex), dimension(:), target | ipiv, | ||
| complex(c_float_complex), dimension(:,:), target | c, | ||
| integer(c_int) | ldc | ||
| ) |
◆ rocsolver_cunmbr_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunmbr::rocsolver_cunmbr_rank_0 | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_column_wise)) | storev, | ||
| integer(kind(rocblas_side_left)) | side, | ||
| integer(kind(rocblas_operation_none)) | trans, | ||
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| integer(c_int) | k, | ||
| complex(c_float_complex), target | a, | ||
| integer(c_int) | lda, | ||
| complex(c_float_complex), target | ipiv, | ||
| complex(c_float_complex), target | c, | ||
| integer(c_int) | ldc | ||
| ) |
◆ rocsolver_cunmbr_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cunmbr::rocsolver_cunmbr_rank_1 | ( | type(c_ptr) | handle, |
| integer(kind(rocblas_column_wise)) | storev, | ||
| integer(kind(rocblas_side_left)) | side, | ||
| integer(kind(rocblas_operation_none)) | trans, | ||
| integer(c_int) | m, | ||
| integer(c_int) | n, | ||
| integer(c_int) | k, | ||
| complex(c_float_complex), dimension(:), target | a, | ||
| integer(c_int) | lda, | ||
| complex(c_float_complex), dimension(:), target | ipiv, | ||
| complex(c_float_complex), dimension(:), target | c, | ||
| integer(c_int) | ldc | ||
| ) |
The documentation for this interface was generated from the following file: