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version 1.2, 2016/08/27 15:34:24 version 1.3, 2017/06/17 10:53:50
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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 DGGSVP3 + dependencies   *> Download DGGSVP3 + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dggsvp3.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dggsvp3.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dggsvp3.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dggsvp3.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dggsvp3.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dggsvp3.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
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 *       SUBROUTINE DGGSVP3( JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB,  *       SUBROUTINE DGGSVP3( 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, LWORK, INFO )  *                           IWORK, TAU, WORK, LWORK, 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, LWORK  *       INTEGER            INFO, K, L, LDA, LDB, LDQ, LDU, LDV, M, N, P, LWORK
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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:
 *  =============  *  =============
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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 August 2015  *> \date August 2015
 *  *
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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, LWORK, INFO )       $                    IWORK, TAU, WORK, LWORK, INFO )
 *  *
 *  -- LAPACK computational routine (version 3.6.0) --  *  -- LAPACK computational 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..--
 *     August 2015  *     August 2015
Removed from v.1.2  
changed lines
  Added in v.1.3

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