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

NAME
       SRC/zlarf.f

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

Function/Subroutine Documentation
   subroutine zlarf (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)
       ZLARF applies an elementary reflector to a general rectangular matrix.

       Purpose:


           !>
           !> ZLARF applies a complex elementary reflector H to a complex 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
           !>          = 'R': form  C * H
           !>

           M

           !>          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.
           !>

           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 127 of file zlarf.f.

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

LAPACK                          Version 3.12.0                  SRC/zlarf.f(3)