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version 1.19, 2023/08/07 08:38:51
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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 DGGSVP + dependencies |
*> Download DGGSVP + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dggsvp.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dggsvp.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dggsvp.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dggsvp.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dggsvp.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dggsvp.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
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* SUBROUTINE DGGSVP( JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, |
* SUBROUTINE DGGSVP( JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, |
* TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, |
* TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, |
* IWORK, TAU, WORK, INFO ) |
* IWORK, TAU, WORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER JOBQ, JOBU, JOBV |
* CHARACTER JOBQ, JOBU, JOBV |
* INTEGER INFO, K, L, LDA, LDB, LDQ, LDU, LDV, M, N, P |
* INTEGER INFO, K, L, LDA, LDB, LDQ, LDU, LDV, M, N, P |
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* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), Q( LDQ, * ), |
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), Q( LDQ, * ), |
* $ TAU( * ), U( LDU, * ), V( LDV, * ), WORK( * ) |
* $ TAU( * ), U( LDU, * ), V( LDV, * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
*> |
*> |
*> \verbatim |
*> \verbatim |
*> |
*> |
|
*> This routine is deprecated and has been replaced by routine DGGSVP3. |
|
*> |
*> DGGSVP computes orthogonal matrices U, V and Q such that |
*> DGGSVP computes orthogonal matrices U, V and Q such that |
*> |
*> |
*> N-K-L K L |
*> N-K-L K L |
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*> where the K-by-K matrix A12 and L-by-L matrix B13 are nonsingular |
*> where the K-by-K matrix A12 and L-by-L matrix B13 are nonsingular |
*> upper triangular; A23 is L-by-L upper triangular if M-K-L >= 0, |
*> upper triangular; A23 is L-by-L upper triangular if M-K-L >= 0, |
*> otherwise A23 is (M-K)-by-L upper trapezoidal. K+L = the effective |
*> otherwise A23 is (M-K)-by-L upper trapezoidal. K+L = the effective |
*> numerical rank of the (M+P)-by-N matrix (A**T,B**T)**T. |
*> numerical rank of the (M+P)-by-N matrix (A**T,B**T)**T. |
*> |
*> |
*> This decomposition is the preprocessing step for computing the |
*> This decomposition is the preprocessing step for computing the |
*> Generalized Singular Value Decomposition (GSVD), see subroutine |
*> Generalized Singular Value Decomposition (GSVD), see subroutine |
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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 doubleOTHERcomputational |
*> \ingroup doubleOTHERcomputational |
* |
* |
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$ TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, |
$ TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, |
$ IWORK, TAU, WORK, INFO ) |
$ IWORK, TAU, WORK, 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 JOBQ, JOBU, JOBV |
CHARACTER JOBQ, JOBU, JOBV |