version 1.14, 2015/11/26 11:44:21
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version 1.19, 2023/08/07 08:39:17
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* |
* |
* =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
* |
* |
* Online html documentation available at |
* Online html documentation available at |
* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
*> \htmlonly |
*> \htmlonly |
*> Download ZGEHRD + dependencies |
*> Download ZGEHRD + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgehrd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgehrd.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgehrd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgehrd.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgehrd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgehrd.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZGEHRD( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO ) |
* SUBROUTINE ZGEHRD( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER IHI, ILO, INFO, LDA, LWORK, N |
* INTEGER IHI, ILO, INFO, LDA, LWORK, N |
* .. |
* .. |
* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) |
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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* Authors: |
* Authors: |
* ======== |
* ======== |
* |
* |
*> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
*> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
|
*> \date November 2015 |
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* |
* |
*> \ingroup complex16GEcomputational |
*> \ingroup complex16GEcomputational |
* |
* |
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*> modified element of the upper Hessenberg matrix H, and vi denotes an |
*> modified element of the upper Hessenberg matrix H, and vi denotes an |
*> element of the vector defining H(i). |
*> element of the vector defining H(i). |
*> |
*> |
*> This file is a slight modification of LAPACK-3.0's DGEHRD |
*> This file is a slight modification of LAPACK-3.0's ZGEHRD |
*> subroutine incorporating improvements proposed by Quintana-Orti and |
*> subroutine incorporating improvements proposed by Quintana-Orti and |
*> Van de Geijn (2006). (See DLAHR2.) |
*> Van de Geijn (2006). (See ZLAHR2.) |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZGEHRD( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO ) |
SUBROUTINE ZGEHRD( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.6.0) -- |
* -- LAPACK computational routine -- |
* -- 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 2015 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER IHI, ILO, INFO, LDA, LWORK, N |
INTEGER IHI, ILO, INFO, LDA, LWORK, N |
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PARAMETER ( NBMAX = 64, LDT = NBMAX+1, |
PARAMETER ( NBMAX = 64, LDT = NBMAX+1, |
$ TSIZE = LDT*NBMAX ) |
$ TSIZE = LDT*NBMAX ) |
COMPLEX*16 ZERO, ONE |
COMPLEX*16 ZERO, ONE |
PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ), |
PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ), |
$ ONE = ( 1.0D+0, 0.0D+0 ) ) |
$ ONE = ( 1.0D+0, 0.0D+0 ) ) |
* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
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* |
* |
EI = A( I+IB, I+IB-1 ) |
EI = A( I+IB, I+IB-1 ) |
A( I+IB, I+IB-1 ) = ONE |
A( I+IB, I+IB-1 ) = ONE |
CALL ZGEMM( 'No transpose', 'Conjugate transpose', |
CALL ZGEMM( 'No transpose', 'Conjugate transpose', |
$ IHI, IHI-I-IB+1, |
$ IHI, IHI-I-IB+1, |
$ IB, -ONE, WORK, LDWORK, A( I+IB, I ), LDA, ONE, |
$ IB, -ONE, WORK, LDWORK, A( I+IB, I ), LDA, ONE, |
$ A( 1, I+IB ), LDA ) |
$ A( 1, I+IB ), LDA ) |