version 1.9, 2011/11/21 22:19:58
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version 1.17, 2023/08/07 08:39:40
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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 ZTGEVC + dependencies |
*> Download ZTGEVC + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztgevc.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztgevc.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztgevc.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztgevc.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztgevc.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztgevc.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZTGEVC( SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, |
* SUBROUTINE ZTGEVC( SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, |
* LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO ) |
* LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER HOWMNY, SIDE |
* CHARACTER HOWMNY, SIDE |
* INTEGER INFO, LDP, LDS, LDVL, LDVR, M, MM, N |
* INTEGER INFO, LDP, LDS, LDVL, LDVR, M, MM, N |
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* COMPLEX*16 P( LDP, * ), S( LDS, * ), VL( LDVL, * ), |
* COMPLEX*16 P( LDP, * ), S( LDS, * ), VL( LDVL, * ), |
* $ VR( LDVR, * ), WORK( * ) |
* $ VR( LDVR, * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> a pair of complex matrices (S,P), where S and P are upper triangular. |
*> a pair of complex matrices (S,P), where S and P are upper triangular. |
*> Matrix pairs of this type are produced by the generalized Schur |
*> Matrix pairs of this type are produced by the generalized Schur |
*> factorization of a complex matrix pair (A,B): |
*> factorization of a complex matrix pair (A,B): |
*> |
*> |
*> A = Q*S*Z**H, B = Q*P*Z**H |
*> A = Q*S*Z**H, B = Q*P*Z**H |
*> |
*> |
*> as computed by ZGGHRD + ZHGEQZ. |
*> as computed by ZGGHRD + ZHGEQZ. |
*> |
*> |
*> The right eigenvector x and the left eigenvector y of (S,P) |
*> The right eigenvector x and the left eigenvector y of (S,P) |
*> corresponding to an eigenvalue w are defined by: |
*> corresponding to an eigenvalue w are defined by: |
*> |
*> |
*> S*x = w*P*x, (y**H)*S = w*(y**H)*P, |
*> S*x = w*P*x, (y**H)*S = w*(y**H)*P, |
*> |
*> |
*> where y**H denotes the conjugate tranpose of y. |
*> where y**H denotes the conjugate tranpose of y. |
*> The eigenvalues are not input to this routine, but are computed |
*> The eigenvalues are not input to this routine, but are computed |
*> directly from the diagonal elements of S and P. |
*> directly from the diagonal elements of S and P. |
*> |
*> |
*> This routine returns the matrices X and/or Y of right and left |
*> This routine returns the matrices X and/or Y of right and left |
*> eigenvectors of (S,P), or the products Z*X and/or Q*Y, |
*> eigenvectors of (S,P), or the products Z*X and/or Q*Y, |
*> where Z and Q are input matrices. |
*> where Z and Q are input matrices. |
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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 |
|
* |
* |
*> \ingroup complex16GEcomputational |
*> \ingroup complex16GEcomputational |
* |
* |
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SUBROUTINE ZTGEVC( SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, |
SUBROUTINE ZTGEVC( SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, |
$ LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO ) |
$ LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- 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 2011 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER HOWMNY, SIDE |
CHARACTER HOWMNY, SIDE |