rocsolver_cunmbr Interface Reference

rocsolver_cunmbr Interface Reference#

HIPFORT API Reference: hipfort_rocsolver::rocsolver_cunmbr Interface Reference
hipfort_rocsolver::rocsolver_cunmbr Interface Reference

UNMBR multiplies a complex matrix Q with orthonormal rows or columns by a general m-by-n matrix C. More...

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_full_rank (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)
 

Detailed Description

UNMBR multiplies 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:

\[ \begin{array}{cl} QC & \: \text{No transpose from the left,}\newline Q^HC & \: \text{Conjugate transpose from the left,}\newline CQ & \: \text{No transpose from the right, and}\newline CQ^H & \: \text{Conjugate transpose from the right.} \end{array} \]

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

\[ Q = H_1H_2\cdots H_k, \]

and if q < k, then Q is defined as the product

\[ Q = H_1H_2\cdots H_{q-1}. \]

When storev is row-wise, if q > k, then Q is defined as the product of k Householder reflectors

\[ Q = H_1H_2\cdots H_k, \]

and if q <= k, Q is defined as the product

\[ Q = H_1H_2\cdots H_{q-1}. \]

The Householder matrices \(H_i\) are never stored, they are computed from its corresponding Householder vectors and scalars as returned by GEBRD in its arguments A and tauq or taup.

Parameters
[in]handlerocblas_handle.
[in]storevrocblas_storev.
Specifies whether to work column-wise or row-wise.
[in]siderocblas_side.
Specifies from which side to apply Q.
[in]transrocblas_operation.
Specifies whether the matrix Q or its conjugate transpose is to be applied.
[in]mrocblas_int. m >= 0.
Number of rows of matrix C.
[in]nrocblas_int. n >= 0.
Number of columns of matrix C.
[in]krocblas_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]Apointer 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]ldarocblas_int. lda >= q if column-wise, or lda >= min(q,k) if row-wise.
Leading dimension of A.
[in]ipivpointer to type. Array on the GPU of dimension at least min(q,k).
The Householder scalars as returned by GEBRD.
[in,out]Cpointer to type. Array on the GPU of size ldc*n.
On entry, the matrix C. On exit, it is overwritten with Q*C, C*Q, Q'*C, or C*Q'.
[in]ldcrocblas_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: