CLARFX - applie a complex elementary reflector H to a com­
       plex m by n matrix C, from either the left or the right


SYNOPSIS

       SUBROUTINE CLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )

           CHARACTER      SIDE

           INTEGER        LDC, M, N

           COMPLEX        TAU

           COMPLEX        C( LDC, * ), V( * ), WORK( * )


PURPOSE

       CLARFX applies a complex elementary reflector H to a  com­
       plex m by n matrix C, from either the left or the right. H
       is represented in the form

             H = I - tau * v * v'

       where tau is a complex scalar and v is a complex vector.

       If tau = 0, then H is taken to be the unit matrix

       This version uses inline code if H has order < 11.


ARGUMENTS

       SIDE    (input) CHARACTER*1
               = 'L': form  H * C
               = 'R': form  C * H

       M       (input) INTEGER
               The number of rows of the matrix C.

       N       (input) INTEGER
               The number of columns of the matrix C.

       V       (input) COMPLEX array, dimension (M) if SIDE = 'L'
               or (N) if SIDE = 'R' The vector v in the represen­
               tation of H.

       TAU     (input) COMPLEX
               The value tau in the representation of H.

       C       (input/output) COMPLEX 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     (input) INTEGER
               The leading dimension  of  the  array  C.  LDA  >=


       WORK    (workspace) COMPLEX array, dimension (N) if SIDE =
               'L'
               or (M) if SIDE = 'R' WORK is not referenced  if  H
               has order < 11.


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