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Diff for /rpl/lapack/lapack/dlarrv.f between versions 1.15 and 1.24

version 1.15, 2014/01/27 09:28:22 version 1.24, 2023/08/07 08:38:58
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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 DLARRV + dependencies   *> Download DLARRV + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarrv.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarrv.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarrv.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarrv.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarrv.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarrv.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
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 *                          RTOL1, RTOL2, W, WERR, WGAP,  *                          RTOL1, RTOL2, W, WERR, WGAP,
 *                          IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ,  *                          IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ,
 *                          WORK, IWORK, INFO )  *                          WORK, IWORK, INFO )
 *   *
 *       .. Scalar Arguments ..  *       .. Scalar Arguments ..
 *       INTEGER            DOL, DOU, INFO, LDZ, M, N  *       INTEGER            DOL, DOU, INFO, LDZ, M, N
 *       DOUBLE PRECISION   MINRGP, PIVMIN, RTOL1, RTOL2, VL, VU  *       DOUBLE PRECISION   MINRGP, PIVMIN, RTOL1, RTOL2, VL, VU
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 *      $                   WGAP( * ), WORK( * )  *      $                   WGAP( * ), WORK( * )
 *       DOUBLE PRECISION  Z( LDZ, * )  *       DOUBLE PRECISION  Z( LDZ, * )
 *       ..  *       ..
 *    *
 *  *
 *> \par Purpose:  *> \par Purpose:
 *  =============  *  =============
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 *> \param[in] VL  *> \param[in] VL
 *> \verbatim  *> \verbatim
 *>          VL is DOUBLE PRECISION  *>          VL is DOUBLE PRECISION
   *>          Lower bound of the interval that contains the desired
   *>          eigenvalues. VL < VU. Needed to compute gaps on the left or right
   *>          end of the extremal eigenvalues in the desired RANGE.
 *> \endverbatim  *> \endverbatim
 *>  *>
 *> \param[in] VU  *> \param[in] VU
 *> \verbatim  *> \verbatim
 *>          VU is DOUBLE PRECISION  *>          VU is DOUBLE PRECISION
 *>          Lower and upper bounds of the interval that contains the desired  *>          Upper bound of the interval that contains the desired
 *>          eigenvalues. VL < VU. Needed to compute gaps on the left or right  *>          eigenvalues. VL < VU. 
 *>          end of the extremal eigenvalues in the desired RANGE.  *>          Note: VU is currently not used by this implementation of DLARRV, VU is
   *>          passed to DLARRV because it could be used compute gaps on the right end
   *>          of the extremal eigenvalues. However, with not much initial accuracy in
   *>          LAMBDA and VU, the formula can lead to an overestimation of the right gap
   *>          and thus to inadequately early RQI 'convergence'. This is currently
   *>          prevented this by forcing a small right gap. And so it turns out that VU
   *>          is currently not used by this implementation of DLARRV.
 *> \endverbatim  *> \endverbatim
 *>  *>
 *> \param[in,out] D  *> \param[in,out] D
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 *>          L is DOUBLE PRECISION array, dimension (N)  *>          L is DOUBLE PRECISION array, dimension (N)
 *>          On entry, the (N-1) subdiagonal elements of the unit  *>          On entry, the (N-1) subdiagonal elements of the unit
 *>          bidiagonal matrix L are in elements 1 to N-1 of L  *>          bidiagonal matrix L are in elements 1 to N-1 of L
 *>          (if the matrix is not splitted.) At the end of each block  *>          (if the matrix is not split.) At the end of each block
 *>          is stored the corresponding shift as given by DLARRE.  *>          is stored the corresponding shift as given by DLARRE.
 *>          On exit, L is overwritten.  *>          On exit, L is overwritten.
 *> \endverbatim  *> \endverbatim
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 *>          RTOL2 is DOUBLE PRECISION  *>          RTOL2 is DOUBLE PRECISION
 *>           Parameters for bisection.  *>           Parameters for bisection.
 *>           An interval [LEFT,RIGHT] has converged if  *>           An interval [LEFT,RIGHT] has converged if
 *>           RIGHT-LEFT.LT.MAX( RTOL1*GAP, RTOL2*MAX(|LEFT|,|RIGHT|) )  *>           RIGHT-LEFT < MAX( RTOL1*GAP, RTOL2*MAX(|LEFT|,|RIGHT|) )
 *> \endverbatim  *> \endverbatim
 *>  *>
 *> \param[in,out] W  *> \param[in,out] W
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 *>          INFO is INTEGER  *>          INFO is INTEGER
 *>          = 0:  successful exit  *>          = 0:  successful exit
 *>  *>
 *>          > 0:  A problem occured in DLARRV.  *>          > 0:  A problem occurred in DLARRV.
 *>          < 0:  One of the called subroutines signaled an internal problem.  *>          < 0:  One of the called subroutines signaled an internal problem.
 *>                Needs inspection of the corresponding parameter IINFO  *>                Needs inspection of the corresponding parameter IINFO
 *>                for further information.  *>                for further information.
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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 September 2012  
 *  *
 *> \ingroup doubleOTHERauxiliary  *> \ingroup doubleOTHERauxiliary
 *  *
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      $                   IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ,       $                   IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ,
      $                   WORK, IWORK, INFO )       $                   WORK, IWORK, INFO )
 *  *
 *  -- LAPACK auxiliary routine (version 3.4.2) --  *  -- LAPACK auxiliary 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..--
 *     September 2012  
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            DOL, DOU, INFO, LDZ, M, N        INTEGER            DOL, DOU, INFO, LDZ, M, N
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 *     .. Executable Statements ..  *     .. Executable Statements ..
 *     ..  *     ..
   
         INFO = 0
   *
   *     Quick return if possible
   *
         IF( (N.LE.0).OR.(M.LE.0) ) THEN
            RETURN
         END IF
   *
 *     The first N entries of WORK are reserved for the eigenvalues  *     The first N entries of WORK are reserved for the eigenvalues
       INDLD = N+1        INDLD = N+1
       INDLLD= 2*N+1        INDLLD= 2*N+1
Removed from v.1.15  
changed lines
  Added in v.1.24

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