version 1.11, 2011/11/21 22:19:42
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version 1.20, 2018/05/29 07:18:10
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*> \brief \b DTGEX2 |
*> \brief \b DTGEX2 swaps adjacent diagonal blocks in an upper (quasi) triangular matrix pair by an orthogonal equivalence transformation. |
* |
* |
* =========== 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 DTGEX2 + dependencies |
*> Download DTGEX2 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtgex2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtgex2.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtgex2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtgex2.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtgex2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtgex2.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE DTGEX2( WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, |
* SUBROUTINE DTGEX2( WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, |
* LDZ, J1, N1, N2, WORK, LWORK, INFO ) |
* LDZ, J1, N1, N2, WORK, LWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* LOGICAL WANTQ, WANTZ |
* LOGICAL WANTQ, WANTZ |
* INTEGER INFO, J1, LDA, LDB, LDQ, LDZ, LWORK, N, N1, N2 |
* INTEGER INFO, J1, LDA, LDB, LDQ, LDZ, LWORK, N, N1, N2 |
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* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), Q( LDQ, * ), |
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), Q( LDQ, * ), |
* $ WORK( * ), Z( LDZ, * ) |
* $ WORK( * ), Z( LDZ, * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \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 2011 |
*> \date December 2016 |
* |
* |
*> \ingroup doubleGEauxiliary |
*> \ingroup doubleGEauxiliary |
* |
* |
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SUBROUTINE DTGEX2( WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, |
SUBROUTINE DTGEX2( WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, |
$ LDZ, J1, N1, N2, WORK, LWORK, INFO ) |
$ LDZ, J1, N1, N2, WORK, LWORK, INFO ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.0) -- |
* -- LAPACK auxiliary routine (version 3.7.0) -- |
* -- 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 2011 |
* December 2016 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
LOGICAL WANTQ, WANTZ |
LOGICAL WANTQ, WANTZ |
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CALL DLASSQ( M*M, WORK, 1, DSCALE, DSUM ) |
CALL DLASSQ( M*M, WORK, 1, DSCALE, DSUM ) |
DNORM = DSCALE*SQRT( DSUM ) |
DNORM = DSCALE*SQRT( DSUM ) |
* |
* |
* THRES has been changed from |
* THRES has been changed from |
* THRESH = MAX( TEN*EPS*SA, SMLNUM ) |
* THRESH = MAX( TEN*EPS*SA, SMLNUM ) |
* to |
* to |
* THRESH = MAX( TWENTY*EPS*SA, SMLNUM ) |
* THRESH = MAX( TWENTY*EPS*SA, SMLNUM ) |
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* |
* |
* Standardize existing 2-by-2 blocks. |
* Standardize existing 2-by-2 blocks. |
* |
* |
DO 50 I = 1, M*M |
CALL DLASET( 'Full', M, M, ZERO, ZERO, WORK, M ) |
WORK(I) = ZERO |
|
50 CONTINUE |
|
WORK( 1 ) = ONE |
WORK( 1 ) = ONE |
T( 1, 1 ) = ONE |
T( 1, 1 ) = ONE |
IDUM = LWORK - M*M - 2 |
IDUM = LWORK - M*M - 2 |
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$ A( J1, I ), LDA, ZERO, WORK, M ) |
$ A( J1, I ), LDA, ZERO, WORK, M ) |
CALL DLACPY( 'Full', M, N-I+1, WORK, M, A( J1, I ), LDA ) |
CALL DLACPY( 'Full', M, N-I+1, WORK, M, A( J1, I ), LDA ) |
CALL DGEMM( 'T', 'N', M, N-I+1, M, ONE, LI, LDST, |
CALL DGEMM( 'T', 'N', M, N-I+1, M, ONE, LI, LDST, |
$ B( J1, I ), LDA, ZERO, WORK, M ) |
$ B( J1, I ), LDB, ZERO, WORK, M ) |
CALL DLACPY( 'Full', M, N-I+1, WORK, M, B( J1, I ), LDB ) |
CALL DLACPY( 'Full', M, N-I+1, WORK, M, B( J1, I ), LDB ) |
END IF |
END IF |
I = J1 - 1 |
I = J1 - 1 |