698 lines
20 KiB
Fortran
698 lines
20 KiB
Fortran
*> \brief \b ZLARFX 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 ZLARFX + dependencies
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarfx.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/zlarfx.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/zlarfx.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 ZLARFX( 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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* COMPLEX*16 TAU
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* ..
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* .. Array Arguments ..
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* COMPLEX*16 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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*> ZLARFX applies a complex elementary reflector H to a complex 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**H
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*>
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*> where tau is a complex scalar and v is a complex 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 COMPLEX*16 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 COMPLEX*16
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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 COMPLEX*16 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. LDC >= max(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 COMPLEX*16 array, dimension (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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*> \ingroup complex16OTHERauxiliary
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*
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* =====================================================================
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SUBROUTINE ZLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )
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*
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* -- LAPACK auxiliary routine --
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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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*
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* .. Scalar Arguments ..
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CHARACTER SIDE
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INTEGER LDC, M, N
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COMPLEX*16 TAU
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* ..
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* .. Array Arguments ..
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COMPLEX*16 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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COMPLEX*16 ZERO, ONE
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PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ),
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$ ONE = ( 1.0D+0, 0.0D+0 ) )
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* ..
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* .. Local Scalars ..
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INTEGER J
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COMPLEX*16 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 ZLARF
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DCONJG
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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 ZLARF( 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 )*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( V4 )
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V5 = DCONJG( V( 5 ) )
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T5 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( V4 )
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V5 = DCONJG( V( 5 ) )
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T5 = TAU*DCONJG( V5 )
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V6 = DCONJG( V( 6 ) )
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T6 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( V4 )
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V5 = DCONJG( V( 5 ) )
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T5 = TAU*DCONJG( V5 )
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V6 = DCONJG( V( 6 ) )
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T6 = TAU*DCONJG( V6 )
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V7 = DCONJG( V( 7 ) )
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T7 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( V4 )
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V5 = DCONJG( V( 5 ) )
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T5 = TAU*DCONJG( V5 )
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V6 = DCONJG( V( 6 ) )
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T6 = TAU*DCONJG( V6 )
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V7 = DCONJG( V( 7 ) )
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T7 = TAU*DCONJG( V7 )
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V8 = DCONJG( V( 8 ) )
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T8 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( V4 )
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V5 = DCONJG( V( 5 ) )
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T5 = TAU*DCONJG( V5 )
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V6 = DCONJG( V( 6 ) )
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T6 = TAU*DCONJG( V6 )
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V7 = DCONJG( V( 7 ) )
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T7 = TAU*DCONJG( V7 )
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V8 = DCONJG( V( 8 ) )
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T8 = TAU*DCONJG( V8 )
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V9 = DCONJG( V( 9 ) )
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T9 = TAU*DCONJG( 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 = DCONJG( V( 1 ) )
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T1 = TAU*DCONJG( V1 )
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V2 = DCONJG( V( 2 ) )
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T2 = TAU*DCONJG( V2 )
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V3 = DCONJG( V( 3 ) )
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T3 = TAU*DCONJG( V3 )
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V4 = DCONJG( V( 4 ) )
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T4 = TAU*DCONJG( V4 )
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V5 = DCONJG( V( 5 ) )
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T5 = TAU*DCONJG( V5 )
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V6 = DCONJG( V( 6 ) )
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T6 = TAU*DCONJG( V6 )
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V7 = DCONJG( V( 7 ) )
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T7 = TAU*DCONJG( V7 )
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V8 = DCONJG( V( 8 ) )
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T8 = TAU*DCONJG( V8 )
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V9 = DCONJG( V( 9 ) )
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T9 = TAU*DCONJG( V9 )
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V10 = DCONJG( V( 10 ) )
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T10 = TAU*DCONJG( 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 ) +
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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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$ V10*C( 10, 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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C( 10, J ) = C( 10, J ) - SUM*T10
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200 CONTINUE
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GO TO 410
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ELSE
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*
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* Form C * H, where H has order n.
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*
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GO TO ( 210, 230, 250, 270, 290, 310, 330, 350,
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$ 370, 390 )N
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*
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* Code for general N
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*
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CALL ZLARF( SIDE, M, N, V, 1, TAU, C, LDC, WORK )
|
|
GO TO 410
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|
210 CONTINUE
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|
*
|
|
* Special code for 1 x 1 Householder
|
|
*
|
|
T1 = ONE - TAU*V( 1 )*DCONJG( V( 1 ) )
|
|
DO 220 J = 1, M
|
|
C( J, 1 ) = T1*C( J, 1 )
|
|
220 CONTINUE
|
|
GO TO 410
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|
230 CONTINUE
|
|
*
|
|
* Special code for 2 x 2 Householder
|
|
*
|
|
V1 = V( 1 )
|
|
T1 = TAU*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( V4 )
|
|
V5 = V( 5 )
|
|
T5 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( V4 )
|
|
V5 = V( 5 )
|
|
T5 = TAU*DCONJG( V5 )
|
|
V6 = V( 6 )
|
|
T6 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( V4 )
|
|
V5 = V( 5 )
|
|
T5 = TAU*DCONJG( V5 )
|
|
V6 = V( 6 )
|
|
T6 = TAU*DCONJG( V6 )
|
|
V7 = V( 7 )
|
|
T7 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( V4 )
|
|
V5 = V( 5 )
|
|
T5 = TAU*DCONJG( V5 )
|
|
V6 = V( 6 )
|
|
T6 = TAU*DCONJG( V6 )
|
|
V7 = V( 7 )
|
|
T7 = TAU*DCONJG( V7 )
|
|
V8 = V( 8 )
|
|
T8 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( V4 )
|
|
V5 = V( 5 )
|
|
T5 = TAU*DCONJG( V5 )
|
|
V6 = V( 6 )
|
|
T6 = TAU*DCONJG( V6 )
|
|
V7 = V( 7 )
|
|
T7 = TAU*DCONJG( V7 )
|
|
V8 = V( 8 )
|
|
T8 = TAU*DCONJG( V8 )
|
|
V9 = V( 9 )
|
|
T9 = TAU*DCONJG( 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*DCONJG( V1 )
|
|
V2 = V( 2 )
|
|
T2 = TAU*DCONJG( V2 )
|
|
V3 = V( 3 )
|
|
T3 = TAU*DCONJG( V3 )
|
|
V4 = V( 4 )
|
|
T4 = TAU*DCONJG( V4 )
|
|
V5 = V( 5 )
|
|
T5 = TAU*DCONJG( V5 )
|
|
V6 = V( 6 )
|
|
T6 = TAU*DCONJG( V6 )
|
|
V7 = V( 7 )
|
|
T7 = TAU*DCONJG( V7 )
|
|
V8 = V( 8 )
|
|
T8 = TAU*DCONJG( V8 )
|
|
V9 = V( 9 )
|
|
T9 = TAU*DCONJG( V9 )
|
|
V10 = V( 10 )
|
|
T10 = TAU*DCONJG( 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 CONTINUE
|
|
RETURN
|
|
*
|
|
* End of ZLARFX
|
|
*
|
|
END
|