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version 1.15, 2017/06/17 11:06:42
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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 ZGEGS + dependencies |
*> Download ZGEGS + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgegs.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgegs.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgegs.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgegs.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgegs.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgegs.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
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* SUBROUTINE ZGEGS( JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHA, BETA, |
* SUBROUTINE ZGEGS( JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHA, BETA, |
* VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, |
* VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, |
* INFO ) |
* INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER JOBVSL, JOBVSR |
* CHARACTER JOBVSL, JOBVSR |
* INTEGER INFO, LDA, LDB, LDVSL, LDVSR, LWORK, N |
* INTEGER INFO, LDA, LDB, LDVSL, LDVSR, LWORK, N |
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* $ BETA( * ), VSL( LDVSL, * ), VSR( LDVSR, * ), |
* $ BETA( * ), VSL( LDVSL, * ), VSR( LDVSR, * ), |
* $ WORK( * ) |
* $ WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> left and or/right Schur vectors of a complex matrix pair (A,B). |
*> left and or/right Schur vectors of a complex matrix pair (A,B). |
*> Given two square matrices A and B, the generalized Schur |
*> Given two square matrices A and B, the generalized Schur |
*> factorization has the form |
*> factorization has the form |
*> |
*> |
*> A = Q*S*Z**H, B = Q*T*Z**H |
*> A = Q*S*Z**H, B = Q*T*Z**H |
*> |
*> |
*> where Q and Z are unitary matrices and S and T are upper triangular. |
*> where Q and Z are unitary matrices and S and T are upper triangular. |
*> The columns of Q are the left Schur vectors |
*> The columns of Q are the left Schur vectors |
*> and the columns of Z are the right Schur vectors. |
*> and the columns of Z are the right Schur vectors. |
*> |
*> |
*> If only the eigenvalues of (A,B) are needed, the driver routine |
*> If only the eigenvalues of (A,B) are needed, the driver routine |
*> ZGEGV should be used instead. See ZGEGV for a description of the |
*> ZGEGV should be used instead. See ZGEGV for a description of the |
*> eigenvalues of the generalized nonsymmetric eigenvalue problem |
*> eigenvalues of the generalized nonsymmetric eigenvalue problem |
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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 complex16GEeigen |
*> \ingroup complex16GEeigen |
* |
* |
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$ VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, |
$ VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, |
$ INFO ) |
$ INFO ) |
* |
* |
* -- LAPACK driver routine (version 3.4.0) -- |
* -- LAPACK driver 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 .. |
CHARACTER JOBVSL, JOBVSR |
CHARACTER JOBVSL, JOBVSR |