697 lines
		
	
	
		
			19 KiB
		
	
	
	
		
			Fortran
		
	
	
	
			
		
		
	
	
			697 lines
		
	
	
		
			19 KiB
		
	
	
	
		
			Fortran
		
	
	
	
*> \brief \b SLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.
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*
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*  =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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*            http://www.netlib.org/lapack/explore-html/
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*
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*> \htmlonly
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*> Download SLARFX + dependencies
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slarfx.f">
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*> [TGZ]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slarfx.f">
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*> [ZIP]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slarfx.f">
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*> [TXT]</a>
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*> \endhtmlonly
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*
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*  Definition:
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*  ===========
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*
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*       SUBROUTINE SLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )
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*
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*       .. Scalar Arguments ..
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*       CHARACTER          SIDE
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*       INTEGER            LDC, M, N
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*       REAL               TAU
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*       ..
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*       .. Array Arguments ..
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*       REAL               C( LDC, * ), V( * ), WORK( * )
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*       ..
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*
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*
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*> \par Purpose:
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*  =============
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*>
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*> \verbatim
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*>
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*> SLARFX applies a real elementary reflector H to a real m by n
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*> matrix C, from either the left or the right. H is represented in the
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*> form
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*>
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*>       H = I - tau * v * v**T
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*>
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*> where tau is a real scalar and v is a real vector.
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*>
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*> If tau = 0, then H is taken to be the unit matrix
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*>
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*> This version uses inline code if H has order < 11.
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*> \endverbatim
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*
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*  Arguments:
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*  ==========
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*
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*> \param[in] SIDE
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*> \verbatim
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*>          SIDE is CHARACTER*1
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*>          = 'L': form  H * C
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*>          = 'R': form  C * H
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*> \endverbatim
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*>
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*> \param[in] M
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*> \verbatim
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*>          M is INTEGER
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*>          The number of rows of the matrix C.
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*> \endverbatim
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*>
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*> \param[in] N
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*> \verbatim
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*>          N is INTEGER
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*>          The number of columns of the matrix C.
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*> \endverbatim
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*>
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*> \param[in] V
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*> \verbatim
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*>          V is REAL array, dimension (M) if SIDE = 'L'
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*>                                     or (N) if SIDE = 'R'
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*>          The vector v in the representation of H.
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*> \endverbatim
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*>
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*> \param[in] TAU
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*> \verbatim
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*>          TAU is REAL
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*>          The value tau in the representation of H.
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*> \endverbatim
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*>
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*> \param[in,out] C
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*> \verbatim
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*>          C is REAL array, dimension (LDC,N)
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*>          On entry, the m by n matrix C.
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*>          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
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*>          or C * H if SIDE = 'R'.
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*> \endverbatim
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*>
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*> \param[in] LDC
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*> \verbatim
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*>          LDC is INTEGER
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*>          The leading dimension of the array C. LDA >= (1,M).
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*>          WORK is REAL array, dimension
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*>                      (N) if SIDE = 'L'
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*>                      or (M) if SIDE = 'R'
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*>          WORK is not referenced if H has order < 11.
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*> \endverbatim
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*
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*  Authors:
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*  ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \date December 2016
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*
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*> \ingroup realOTHERauxiliary
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*
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*  =====================================================================
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      SUBROUTINE SLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )
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*
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*  -- LAPACK auxiliary routine (version 3.7.0) --
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*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
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*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*     December 2016
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*
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*     .. Scalar Arguments ..
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      CHARACTER          SIDE
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      INTEGER            LDC, M, N
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      REAL               TAU
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*     ..
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*     .. Array Arguments ..
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      REAL               C( LDC, * ), V( * ), WORK( * )
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*     ..
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*
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*  =====================================================================
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*
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*     .. Parameters ..
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      REAL               ZERO, ONE
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      PARAMETER          ( ZERO = 0.0E+0, ONE = 1.0E+0 )
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*     ..
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*     .. Local Scalars ..
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      INTEGER            J
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      REAL               SUM, T1, T10, T2, T3, T4, T5, T6, T7, T8, T9,
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     $                   V1, V10, V2, V3, V4, V5, V6, V7, V8, V9
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*     ..
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*     .. External Functions ..
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      LOGICAL            LSAME
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      EXTERNAL           LSAME
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*     ..
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*     .. External Subroutines ..
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      EXTERNAL           SLARF
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*     ..
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*     .. Executable Statements ..
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*
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      IF( TAU.EQ.ZERO )
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     $   RETURN
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      IF( LSAME( SIDE, 'L' ) ) THEN
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*
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*        Form  H * C, where H has order m.
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*
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         GO TO ( 10, 30, 50, 70, 90, 110, 130, 150,
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     $           170, 190 )M
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*
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*        Code for general M
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*
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         CALL SLARF( SIDE, M, N, V, 1, TAU, C, LDC, WORK )
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         GO TO 410
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   10    CONTINUE
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*
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*        Special code for 1 x 1 Householder
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*
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         T1 = ONE - TAU*V( 1 )*V( 1 )
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         DO 20 J = 1, N
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            C( 1, J ) = T1*C( 1, J )
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   20    CONTINUE
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         GO TO 410
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   30    CONTINUE
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*
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*        Special code for 2 x 2 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         DO 40 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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   40    CONTINUE
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         GO TO 410
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   50    CONTINUE
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*
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*        Special code for 3 x 3 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         DO 60 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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   60    CONTINUE
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         GO TO 410
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   70    CONTINUE
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*
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*        Special code for 4 x 4 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         DO 80 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
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     $            V4*C( 4, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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            C( 4, J ) = C( 4, J ) - SUM*T4
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   80    CONTINUE
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         GO TO 410
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   90    CONTINUE
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*
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*        Special code for 5 x 5 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         V5 = V( 5 )
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         T5 = TAU*V5
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         DO 100 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
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     $            V4*C( 4, J ) + V5*C( 5, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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            C( 4, J ) = C( 4, J ) - SUM*T4
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            C( 5, J ) = C( 5, J ) - SUM*T5
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  100    CONTINUE
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         GO TO 410
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  110    CONTINUE
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*
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*        Special code for 6 x 6 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         V5 = V( 5 )
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         T5 = TAU*V5
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         V6 = V( 6 )
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         T6 = TAU*V6
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         DO 120 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
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     $            V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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            C( 4, J ) = C( 4, J ) - SUM*T4
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            C( 5, J ) = C( 5, J ) - SUM*T5
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            C( 6, J ) = C( 6, J ) - SUM*T6
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  120    CONTINUE
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         GO TO 410
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  130    CONTINUE
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*
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*        Special code for 7 x 7 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         V5 = V( 5 )
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         T5 = TAU*V5
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         V6 = V( 6 )
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         T6 = TAU*V6
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         V7 = V( 7 )
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         T7 = TAU*V7
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         DO 140 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
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     $            V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
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     $            V7*C( 7, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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            C( 4, J ) = C( 4, J ) - SUM*T4
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            C( 5, J ) = C( 5, J ) - SUM*T5
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            C( 6, J ) = C( 6, J ) - SUM*T6
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            C( 7, J ) = C( 7, J ) - SUM*T7
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  140    CONTINUE
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         GO TO 410
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  150    CONTINUE
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*
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*        Special code for 8 x 8 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         V5 = V( 5 )
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         T5 = TAU*V5
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         V6 = V( 6 )
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         T6 = TAU*V6
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         V7 = V( 7 )
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         T7 = TAU*V7
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         V8 = V( 8 )
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         T8 = TAU*V8
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         DO 160 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
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     $            V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
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     $            V7*C( 7, J ) + V8*C( 8, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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            C( 4, J ) = C( 4, J ) - SUM*T4
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            C( 5, J ) = C( 5, J ) - SUM*T5
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            C( 6, J ) = C( 6, J ) - SUM*T6
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            C( 7, J ) = C( 7, J ) - SUM*T7
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            C( 8, J ) = C( 8, J ) - SUM*T8
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  160    CONTINUE
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         GO TO 410
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  170    CONTINUE
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*
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*        Special code for 9 x 9 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         V5 = V( 5 )
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         T5 = TAU*V5
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         V6 = V( 6 )
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         T6 = TAU*V6
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         V7 = V( 7 )
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         T7 = TAU*V7
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         V8 = V( 8 )
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         T8 = TAU*V8
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         V9 = V( 9 )
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         T9 = TAU*V9
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         DO 180 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
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     $            V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
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     $            V7*C( 7, J ) + V8*C( 8, J ) + V9*C( 9, J )
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            C( 1, J ) = C( 1, J ) - SUM*T1
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            C( 2, J ) = C( 2, J ) - SUM*T2
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            C( 3, J ) = C( 3, J ) - SUM*T3
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            C( 4, J ) = C( 4, J ) - SUM*T4
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            C( 5, J ) = C( 5, J ) - SUM*T5
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            C( 6, J ) = C( 6, J ) - SUM*T6
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            C( 7, J ) = C( 7, J ) - SUM*T7
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            C( 8, J ) = C( 8, J ) - SUM*T8
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            C( 9, J ) = C( 9, J ) - SUM*T9
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  180    CONTINUE
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         GO TO 410
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  190    CONTINUE
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*
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*        Special code for 10 x 10 Householder
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*
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         V1 = V( 1 )
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         T1 = TAU*V1
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         V2 = V( 2 )
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         T2 = TAU*V2
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         V3 = V( 3 )
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         T3 = TAU*V3
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         V4 = V( 4 )
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         T4 = TAU*V4
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         V5 = V( 5 )
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         T5 = TAU*V5
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         V6 = V( 6 )
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         T6 = TAU*V6
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         V7 = V( 7 )
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         T7 = TAU*V7
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         V8 = V( 8 )
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         T8 = TAU*V8
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         V9 = V( 9 )
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         T9 = TAU*V9
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         V10 = V( 10 )
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         T10 = TAU*V10
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         DO 200 J = 1, N
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            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
 | 
						|
     $            V4*C( 4, J ) + V5*C( 5, J ) + V6*C( 6, J ) +
 | 
						|
     $            V7*C( 7, J ) + V8*C( 8, J ) + V9*C( 9, J ) +
 | 
						|
     $            V10*C( 10, J )
 | 
						|
            C( 1, J ) = C( 1, J ) - SUM*T1
 | 
						|
            C( 2, J ) = C( 2, J ) - SUM*T2
 | 
						|
            C( 3, J ) = C( 3, J ) - SUM*T3
 | 
						|
            C( 4, J ) = C( 4, J ) - SUM*T4
 | 
						|
            C( 5, J ) = C( 5, J ) - SUM*T5
 | 
						|
            C( 6, J ) = C( 6, J ) - SUM*T6
 | 
						|
            C( 7, J ) = C( 7, J ) - SUM*T7
 | 
						|
            C( 8, J ) = C( 8, J ) - SUM*T8
 | 
						|
            C( 9, J ) = C( 9, J ) - SUM*T9
 | 
						|
            C( 10, J ) = C( 10, J ) - SUM*T10
 | 
						|
  200    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
      ELSE
 | 
						|
*
 | 
						|
*        Form  C * H, where H has order n.
 | 
						|
*
 | 
						|
         GO TO ( 210, 230, 250, 270, 290, 310, 330, 350,
 | 
						|
     $           370, 390 )N
 | 
						|
*
 | 
						|
*        Code for general N
 | 
						|
*
 | 
						|
         CALL SLARF( SIDE, M, N, V, 1, TAU, C, LDC, WORK )
 | 
						|
         GO TO 410
 | 
						|
  210    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 1 x 1 Householder
 | 
						|
*
 | 
						|
         T1 = ONE - TAU*V( 1 )*V( 1 )
 | 
						|
         DO 220 J = 1, M
 | 
						|
            C( J, 1 ) = T1*C( J, 1 )
 | 
						|
  220    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  230    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 2 x 2 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         DO 240 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
  240    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  250    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 3 x 3 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         DO 260 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
  260    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  270    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 4 x 4 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         DO 280 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
  280    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  290    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 5 x 5 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         V5 = V( 5 )
 | 
						|
         T5 = TAU*V5
 | 
						|
         DO 300 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 ) + V5*C( J, 5 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
            C( J, 5 ) = C( J, 5 ) - SUM*T5
 | 
						|
  300    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  310    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 6 x 6 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         V5 = V( 5 )
 | 
						|
         T5 = TAU*V5
 | 
						|
         V6 = V( 6 )
 | 
						|
         T6 = TAU*V6
 | 
						|
         DO 320 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
            C( J, 5 ) = C( J, 5 ) - SUM*T5
 | 
						|
            C( J, 6 ) = C( J, 6 ) - SUM*T6
 | 
						|
  320    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  330    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 7 x 7 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         V5 = V( 5 )
 | 
						|
         T5 = TAU*V5
 | 
						|
         V6 = V( 6 )
 | 
						|
         T6 = TAU*V6
 | 
						|
         V7 = V( 7 )
 | 
						|
         T7 = TAU*V7
 | 
						|
         DO 340 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
 | 
						|
     $            V7*C( J, 7 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
            C( J, 5 ) = C( J, 5 ) - SUM*T5
 | 
						|
            C( J, 6 ) = C( J, 6 ) - SUM*T6
 | 
						|
            C( J, 7 ) = C( J, 7 ) - SUM*T7
 | 
						|
  340    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  350    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 8 x 8 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         V5 = V( 5 )
 | 
						|
         T5 = TAU*V5
 | 
						|
         V6 = V( 6 )
 | 
						|
         T6 = TAU*V6
 | 
						|
         V7 = V( 7 )
 | 
						|
         T7 = TAU*V7
 | 
						|
         V8 = V( 8 )
 | 
						|
         T8 = TAU*V8
 | 
						|
         DO 360 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
 | 
						|
     $            V7*C( J, 7 ) + V8*C( J, 8 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
            C( J, 5 ) = C( J, 5 ) - SUM*T5
 | 
						|
            C( J, 6 ) = C( J, 6 ) - SUM*T6
 | 
						|
            C( J, 7 ) = C( J, 7 ) - SUM*T7
 | 
						|
            C( J, 8 ) = C( J, 8 ) - SUM*T8
 | 
						|
  360    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  370    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 9 x 9 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         V5 = V( 5 )
 | 
						|
         T5 = TAU*V5
 | 
						|
         V6 = V( 6 )
 | 
						|
         T6 = TAU*V6
 | 
						|
         V7 = V( 7 )
 | 
						|
         T7 = TAU*V7
 | 
						|
         V8 = V( 8 )
 | 
						|
         T8 = TAU*V8
 | 
						|
         V9 = V( 9 )
 | 
						|
         T9 = TAU*V9
 | 
						|
         DO 380 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
 | 
						|
     $            V7*C( J, 7 ) + V8*C( J, 8 ) + V9*C( J, 9 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
            C( J, 5 ) = C( J, 5 ) - SUM*T5
 | 
						|
            C( J, 6 ) = C( J, 6 ) - SUM*T6
 | 
						|
            C( J, 7 ) = C( J, 7 ) - SUM*T7
 | 
						|
            C( J, 8 ) = C( J, 8 ) - SUM*T8
 | 
						|
            C( J, 9 ) = C( J, 9 ) - SUM*T9
 | 
						|
  380    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
  390    CONTINUE
 | 
						|
*
 | 
						|
*        Special code for 10 x 10 Householder
 | 
						|
*
 | 
						|
         V1 = V( 1 )
 | 
						|
         T1 = TAU*V1
 | 
						|
         V2 = V( 2 )
 | 
						|
         T2 = TAU*V2
 | 
						|
         V3 = V( 3 )
 | 
						|
         T3 = TAU*V3
 | 
						|
         V4 = V( 4 )
 | 
						|
         T4 = TAU*V4
 | 
						|
         V5 = V( 5 )
 | 
						|
         T5 = TAU*V5
 | 
						|
         V6 = V( 6 )
 | 
						|
         T6 = TAU*V6
 | 
						|
         V7 = V( 7 )
 | 
						|
         T7 = TAU*V7
 | 
						|
         V8 = V( 8 )
 | 
						|
         T8 = TAU*V8
 | 
						|
         V9 = V( 9 )
 | 
						|
         T9 = TAU*V9
 | 
						|
         V10 = V( 10 )
 | 
						|
         T10 = TAU*V10
 | 
						|
         DO 400 J = 1, M
 | 
						|
            SUM = V1*C( J, 1 ) + V2*C( J, 2 ) + V3*C( J, 3 ) +
 | 
						|
     $            V4*C( J, 4 ) + V5*C( J, 5 ) + V6*C( J, 6 ) +
 | 
						|
     $            V7*C( J, 7 ) + V8*C( J, 8 ) + V9*C( J, 9 ) +
 | 
						|
     $            V10*C( J, 10 )
 | 
						|
            C( J, 1 ) = C( J, 1 ) - SUM*T1
 | 
						|
            C( J, 2 ) = C( J, 2 ) - SUM*T2
 | 
						|
            C( J, 3 ) = C( J, 3 ) - SUM*T3
 | 
						|
            C( J, 4 ) = C( J, 4 ) - SUM*T4
 | 
						|
            C( J, 5 ) = C( J, 5 ) - SUM*T5
 | 
						|
            C( J, 6 ) = C( J, 6 ) - SUM*T6
 | 
						|
            C( J, 7 ) = C( J, 7 ) - SUM*T7
 | 
						|
            C( J, 8 ) = C( J, 8 ) - SUM*T8
 | 
						|
            C( J, 9 ) = C( J, 9 ) - SUM*T9
 | 
						|
            C( J, 10 ) = C( J, 10 ) - SUM*T10
 | 
						|
  400    CONTINUE
 | 
						|
         GO TO 410
 | 
						|
      END IF
 | 
						|
  410 RETURN
 | 
						|
*
 | 
						|
*     End of SLARFX
 | 
						|
*
 | 
						|
      END
 |