SRC/zlarf1f.f(3)           Library Functions Manual           SRC/zlarf1f.f(3)

NAME
       SRC/zlarf1f.f

SYNOPSIS
   Functions/Subroutines
       subroutine zlarf1f (side, m, n, v, incv, tau, c, ldc, work)
           ZLARF1F applies an elementary reflector to a general rectangular

Function/Subroutine Documentation
   subroutine zlarf1f (character side, integer m, integer n, complex*16,
       dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension(
       ldc, * ) c, integer ldc, complex*16, dimension( * ) work)
       ZLARF1F applies an elementary reflector to a general rectangular

       Purpose:


           !>
           !> ZLARF1F applies a complex elementary reflector H to a real m by n matrix
           !> C, from either the left or the right. H is represented in the form
           !>
           !>       H = I - tau * v * v**H
           !>
           !> where tau is a complex scalar and v is a complex vector.
           !>
           !> If tau = 0, then H is taken to be the unit matrix.
           !>
           !> To apply H**H, supply conjg(tau) instead
           !> tau.
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>          = 'L': form  H * C
           !>
           !> \param[in] M
           !> \verbatim
           !>          M is INTEGER
           !>          The number of rows of the matrix C.
           !>

           N

           !>          N is INTEGER
           !>          The number of columns of the matrix C.
           !>

           V

           !>          V is COMPLEX*16 array, dimension
           !>                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'
           !>                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
           !>          The vector v in the representation of H. V is not used if
           !>          TAU = 0. V(1) is not referenced or modified.
           !>

           INCV

           !>          INCV is INTEGER
           !>          The increment between elements of v. INCV <> 0.
           !>

           TAU

           !>          TAU is COMPLEX*16
           !>          The value tau in the representation of H.
           !>

           C

           !>          C is COMPLEX*16 array, dimension (LDC,N)
           !>          On entry, the m by n matrix C.
           !>          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
           !>          or C * H if SIDE = 'R'.
           !>

           LDC

           !>          LDC is INTEGER
           !>          The leading dimension of the array C. LDC >= max(1,M).
           !>

           WORK

           !>          WORK is COMPLEX*16 array, dimension
           !>                         (N) if SIDE = 'L'
           !>                      or (M) if SIDE = 'R'
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 158 of file zlarf1f.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                SRC/zlarf1f.f(3)