fortran-lapack
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la_lapack::orgtsqr_row Interface Reference

ORGTSQR_ROW: generates an M-by-N real matrix Q_out with orthonormal columns from the output of DLATSQR. These N orthonormal columns are the first N columns of a product of complex unitary matrices Q(k)_in of order M, which are returned by DLATSQR in a special format. Q_out = first_N_columns_of( Q(1)_in * Q(2)_in * ... * Q(k)_in ). The input matrices Q(k)_in are stored in row and column blocks in A. See the documentation of DLATSQR for more details on the format of Q(k)_in, where each Q(k)_in is represented by block Householder transformations. This routine calls an auxiliary routine DLARFB_GETT, where the computation is performed on each individual block. The algorithm first sweeps NB-sized column blocks from the right to left starting in the bottom row block and continues to the top row block (hence _ROW in the routine name). This sweep is in reverse order of the order in which DLATSQR generates the output blocks. More...

Public Member Functions

pure subroutine dorgtsqr_row (m, n, mb, nb, a, lda, t, ldt, work, lwork, info)
 
 la_dorgtsqr_row
 
 la_qorgtsqr_row
 
pure subroutine sorgtsqr_row (m, n, mb, nb, a, lda, t, ldt, work, lwork, info)
 
 la_sorgtsqr_row
 

Detailed Description

ORGTSQR_ROW: generates an M-by-N real matrix Q_out with orthonormal columns from the output of DLATSQR. These N orthonormal columns are the first N columns of a product of complex unitary matrices Q(k)_in of order M, which are returned by DLATSQR in a special format. Q_out = first_N_columns_of( Q(1)_in * Q(2)_in * ... * Q(k)_in ). The input matrices Q(k)_in are stored in row and column blocks in A. See the documentation of DLATSQR for more details on the format of Q(k)_in, where each Q(k)_in is represented by block Householder transformations. This routine calls an auxiliary routine DLARFB_GETT, where the computation is performed on each individual block. The algorithm first sweeps NB-sized column blocks from the right to left starting in the bottom row block and continues to the top row block (hence _ROW in the routine name). This sweep is in reverse order of the order in which DLATSQR generates the output blocks.

Member Function/Subroutine Documentation

◆ dorgtsqr_row()

pure subroutine la_lapack::orgtsqr_row::dorgtsqr_row ( integer(ilp), intent(in)  m,
integer(ilp), intent(in)  n,
integer(ilp), intent(in)  mb,
integer(ilp), intent(in)  nb,
real(dp), dimension(lda,*), intent(inout)  a,
integer(ilp), intent(in)  lda,
real(dp), dimension(ldt,*), intent(in)  t,
integer(ilp), intent(in)  ldt,
real(dp), dimension(*), intent(out)  work,
integer(ilp), intent(in)  lwork,
integer(ilp), intent(out)  info 
)

◆ la_dorgtsqr_row()

la_lapack::orgtsqr_row::la_dorgtsqr_row

◆ la_qorgtsqr_row()

la_lapack::orgtsqr_row::la_qorgtsqr_row

◆ la_sorgtsqr_row()

la_lapack::orgtsqr_row::la_sorgtsqr_row

◆ sorgtsqr_row()

pure subroutine la_lapack::orgtsqr_row::sorgtsqr_row ( integer(ilp), intent(in)  m,
integer(ilp), intent(in)  n,
integer(ilp), intent(in)  mb,
integer(ilp), intent(in)  nb,
real(sp), dimension(lda,*), intent(inout)  a,
integer(ilp), intent(in)  lda,
real(sp), dimension(ldt,*), intent(in)  t,
integer(ilp), intent(in)  ldt,
real(sp), dimension(*), intent(out)  work,
integer(ilp), intent(in)  lwork,
integer(ilp), intent(out)  info 
)

The documentation for this interface was generated from the following file: