version 1.3, 2010/08/06 15:28:58
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version 1.12, 2012/12/14 12:30:33
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*> \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. LDA >= 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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*> \date September 2012 |
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* |
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*> \ingroup complex16OTHERauxiliary |
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* |
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* ===================================================================== |
SUBROUTINE ZLARFX( SIDE, M, N, V, TAU, C, LDC, WORK ) |
SUBROUTINE ZLARFX( SIDE, M, N, V, TAU, C, LDC, WORK ) |
IMPLICIT NONE |
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* |
* |
* -- LAPACK auxiliary routine (version 3.2) -- |
* -- LAPACK auxiliary routine (version 3.4.2) -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2006 |
* September 2012 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER SIDE |
CHARACTER SIDE |
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COMPLEX*16 C( LDC, * ), V( * ), WORK( * ) |
COMPLEX*16 C( LDC, * ), V( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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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' |
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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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* |
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* Arguments |
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* ========= |
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* |
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* SIDE (input) CHARACTER*1 |
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* = 'L': form H * C |
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* = 'R': form C * H |
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* |
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* M (input) INTEGER |
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* The number of rows of the matrix C. |
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* |
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* N (input) INTEGER |
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* The number of columns of the matrix C. |
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* |
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* V (input) 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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* |
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* TAU (input) COMPLEX*16 |
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* The value tau in the representation of H. |
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* |
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* C (input/output) 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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* |
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* LDC (input) INTEGER |
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* The leading dimension of the array C. LDA >= max(1,M). |
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* |
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* WORK (workspace) 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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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |