1CLARFX(1)           LAPACK auxiliary routine (version 3.1)           CLARFX(1)
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NAME

6       CLARFX - a complex elementary reflector H to a complex m by n matrix C,
7       from either the left or the right
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SYNOPSIS

10       SUBROUTINE CLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )
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12           CHARACTER      SIDE
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14           INTEGER        LDC, M, N
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16           COMPLEX        TAU
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18           COMPLEX        C( LDC, * ), V( * ), WORK( * )
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PURPOSE

21       CLARFX applies a complex elementary reflector H to a  complex  m  by  n
22       matrix  C,  from  either the left or the right. H is represented in the
23       form
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25             H = I - tau * v * v'
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27       where tau is a complex scalar and v is a complex vector.
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29       If tau = 0, then H is taken to be the unit matrix
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31       This version uses inline code if H has order < 11.
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ARGUMENTS

35       SIDE    (input) CHARACTER*1
36               = 'L': form  H * C
37               = 'R': form  C * H
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39       M       (input) INTEGER
40               The number of rows of the matrix C.
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42       N       (input) INTEGER
43               The number of columns of the matrix C.
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45       V       (input) COMPLEX array, dimension (M) if SIDE = 'L'
46               or (N) if SIDE = 'R' The vector v in the representation of H.
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48       TAU     (input) COMPLEX
49               The value tau in the representation of H.
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51       C       (input/output) COMPLEX array, dimension (LDC,N)
52               On entry, the m by n matrix C.  On exit, C  is  overwritten  by
53               the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.
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55       LDC     (input) INTEGER
56               The leading dimension of the array C. LDA >= max(1,M).
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58       WORK    (workspace) COMPLEX array, dimension (N) if SIDE = 'L'
59               or  (M)  if  SIDE = 'R' WORK is not referenced if H has order <
60               11.
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64 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                       CLARFX(1)