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

NAME
       SRC/dlarf.f

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

Function/Subroutine Documentation
   subroutine dlarf (character side, integer m, integer n, double precision,
       dimension( * ) v, integer incv, double precision tau, double precision,
       dimension( ldc, * ) c, integer ldc, double precision, dimension( * )
       work)
       DLARF applies an elementary reflector to a general rectangular matrix.

       Purpose:


           !>
           !> DLARF applies a real 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**T
           !>
           !> where tau is a real scalar and v is a real vector.
           !>
           !> If tau = 0, then H is taken to be the unit matrix.
           !>

       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 DOUBLE PRECISION 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 DOUBLE PRECISION
           !>          The value tau in the representation of H.
           !>

           C

           !>          C is DOUBLE PRECISION 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 DOUBLE PRECISION 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 123 of file dlarf.f.

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

LAPACK                          Version 3.12.0                  SRC/dlarf.f(3)