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Diff for /rpl/lapack/lapack/dhgeqz.f between versions 1.17 and 1.18

version 1.17, 2016/08/27 15:34:24 version 1.18, 2017/06/17 10:53:51
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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 DHGEQZ + dependencies   *> Download DHGEQZ + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dhgeqz.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dhgeqz.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dhgeqz.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dhgeqz.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dhgeqz.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dhgeqz.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
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 *       SUBROUTINE DHGEQZ( JOB, COMPQ, COMPZ, N, ILO, IHI, H, LDH, T, LDT,  *       SUBROUTINE DHGEQZ( JOB, COMPQ, COMPZ, N, ILO, IHI, H, LDH, T, LDT,
 *                          ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, WORK,  *                          ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, WORK,
 *                          LWORK, INFO )  *                          LWORK, INFO )
 *   *
 *       .. Scalar Arguments ..  *       .. Scalar Arguments ..
 *       CHARACTER          COMPQ, COMPZ, JOB  *       CHARACTER          COMPQ, COMPZ, JOB
 *       INTEGER            IHI, ILO, INFO, LDH, LDQ, LDT, LDZ, LWORK, N  *       INTEGER            IHI, ILO, INFO, LDH, LDQ, LDT, LDZ, LWORK, N
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 *      $                   H( LDH, * ), Q( LDQ, * ), T( LDT, * ),  *      $                   H( LDH, * ), Q( LDQ, * ), T( LDT, * ),
 *      $                   WORK( * ), Z( LDZ, * )  *      $                   WORK( * ), Z( LDZ, * )
 *       ..  *       ..
 *    *
 *  *
 *> \par Purpose:  *> \par Purpose:
 *  =============  *  =============
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 *>  *>
 *> If JOB='S', then the Hessenberg-triangular pair (H,T) is  *> If JOB='S', then the Hessenberg-triangular pair (H,T) is
 *> also reduced to generalized Schur form,  *> also reduced to generalized Schur form,
 *>   *>
 *>    H = Q*S*Z**T,  T = Q*P*Z**T,  *>    H = Q*S*Z**T,  T = Q*P*Z**T,
 *>   *>
 *> where Q and Z are orthogonal matrices, P is an upper triangular  *> where Q and Z are orthogonal matrices, P is an upper triangular
 *> matrix, and S is a quasi-triangular matrix with 1-by-1 and 2-by-2  *> matrix, and S is a quasi-triangular matrix with 1-by-1 and 2-by-2
 *> diagonal blocks.  *> diagonal blocks.
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 *> generalized Schur factorization of (A,B):  *> generalized Schur factorization of (A,B):
 *>  *>
 *>    A = (Q1*Q)*S*(Z1*Z)**T,  B = (Q1*Q)*P*(Z1*Z)**T.  *>    A = (Q1*Q)*S*(Z1*Z)**T,  B = (Q1*Q)*P*(Z1*Z)**T.
 *>   *>
 *> To avoid overflow, eigenvalues of the matrix pair (H,T) (equivalently,  *> To avoid overflow, eigenvalues of the matrix pair (H,T) (equivalently,
 *> of (A,B)) are computed as a pair of values (alpha,beta), where alpha is  *> of (A,B)) are computed as a pair of values (alpha,beta), where alpha is
 *> complex and beta real.  *> complex and beta real.
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 *> alternate form of the GNEP  *> alternate form of the GNEP
 *>    mu*A*y = B*y.  *>    mu*A*y = B*y.
 *> Real eigenvalues can be read directly from the generalized Schur  *> Real eigenvalues can be read directly from the generalized Schur
 *> form:   *> form:
 *>   alpha = S(i,i), beta = P(i,i).  *>   alpha = S(i,i), beta = P(i,i).
 *>  *>
 *> Ref: C.B. Moler & G.W. Stewart, "An Algorithm for Generalized Matrix  *> Ref: C.B. Moler & G.W. Stewart, "An Algorithm for Generalized Matrix
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 *> \verbatim  *> \verbatim
 *>          JOB is CHARACTER*1  *>          JOB is CHARACTER*1
 *>          = 'E': Compute eigenvalues only;  *>          = 'E': Compute eigenvalues only;
 *>          = 'S': Compute eigenvalues and the Schur form.   *>          = 'S': Compute eigenvalues and the Schur form.
 *> \endverbatim  *> \endverbatim
 *>  *>
 *> \param[in] COMPQ  *> \param[in] COMPQ
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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 June 2016  *> \date June 2016
 *  *
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      $                   ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, WORK,       $                   ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, WORK,
      $                   LWORK, INFO )       $                   LWORK, INFO )
 *  *
 *  -- LAPACK computational routine (version 3.6.1) --  *  -- 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..--
 *     June 2016  *     June 2016
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      $                  S2, WR, WR2, WI )       $                  S2, WR, WR2, WI )
 *  *
             IF ( ABS( (WR/S1)*T( ILAST, ILAST ) - H( ILAST, ILAST ) )              IF ( ABS( (WR/S1)*T( ILAST, ILAST ) - H( ILAST, ILAST ) )
      $         .GT. ABS( (WR2/S2)*T( ILAST, ILAST )        $         .GT. ABS( (WR2/S2)*T( ILAST, ILAST )
      $         - H( ILAST, ILAST ) ) ) THEN       $         - H( ILAST, ILAST ) ) ) THEN
                TEMP = WR                 TEMP = WR
                WR = WR2                 WR = WR2
Removed from v.1.17  
changed lines
  Added in v.1.18

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