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Diff for /rpl/lapack/lapack/dlarrb.f between versions 1.14 and 1.20

version 1.14, 2016/08/27 15:34:30 version 1.20, 2023/08/07 08:38:57
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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 DLARRB + dependencies   *> Download DLARRB + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarrb.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarrb.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarrb.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarrb.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarrb.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarrb.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
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 *       SUBROUTINE DLARRB( N, D, LLD, IFIRST, ILAST, RTOL1,  *       SUBROUTINE DLARRB( N, D, LLD, IFIRST, ILAST, RTOL1,
 *                          RTOL2, OFFSET, W, WGAP, WERR, WORK, IWORK,  *                          RTOL2, OFFSET, W, WGAP, WERR, WORK, IWORK,
 *                          PIVMIN, SPDIAM, TWIST, INFO )  *                          PIVMIN, SPDIAM, TWIST, INFO )
 *   *
 *       .. Scalar Arguments ..  *       .. Scalar Arguments ..
 *       INTEGER            IFIRST, ILAST, INFO, N, OFFSET, TWIST  *       INTEGER            IFIRST, ILAST, INFO, N, OFFSET, TWIST
 *       DOUBLE PRECISION   PIVMIN, RTOL1, RTOL2, SPDIAM  *       DOUBLE PRECISION   PIVMIN, RTOL1, RTOL2, SPDIAM
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 *       DOUBLE PRECISION   D( * ), LLD( * ), W( * ),  *       DOUBLE PRECISION   D( * ), LLD( * ), W( * ),
 *      $                   WERR( * ), WGAP( * ), WORK( * )  *      $                   WERR( * ), WGAP( * ), WORK( * )
 *       ..  *       ..
 *    *
 *  *
 *> \par Purpose:  *> \par Purpose:
 *  =============  *  =============
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 *>          RTOL2 is DOUBLE PRECISION  *>          RTOL2 is DOUBLE PRECISION
 *>          Tolerance for the convergence of the bisection intervals.  *>          Tolerance for the convergence of the bisection intervals.
 *>          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|) )
 *>          where GAP is the (estimated) distance to the nearest  *>          where GAP is the (estimated) distance to the nearest
 *>          eigenvalue.  *>          eigenvalue.
 *> \endverbatim  *> \endverbatim
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 *> \verbatim  *> \verbatim
 *>          W is DOUBLE PRECISION array, dimension (N)  *>          W is DOUBLE PRECISION array, dimension (N)
 *>          On input, W( IFIRST-OFFSET ) through W( ILAST-OFFSET ) are  *>          On input, W( IFIRST-OFFSET ) through W( ILAST-OFFSET ) are
 *>          estimates of the eigenvalues of L D L^T indexed IFIRST throug  *>          estimates of the eigenvalues of L D L^T indexed IFIRST through
 *>          ILAST.  *>          ILAST.
 *>          On output, these estimates are refined.  *>          On output, these estimates are refined.
 *> \endverbatim  *> \endverbatim
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 *>          WGAP is DOUBLE PRECISION array, dimension (N-1)  *>          WGAP is DOUBLE PRECISION array, dimension (N-1)
 *>          On input, the (estimated) gaps between consecutive  *>          On input, the (estimated) gaps between consecutive
 *>          eigenvalues of L D L^T, i.e., WGAP(I-OFFSET) is the gap between  *>          eigenvalues of L D L^T, i.e., WGAP(I-OFFSET) is the gap between
 *>          eigenvalues I and I+1. Note that if IFIRST.EQ.ILAST  *>          eigenvalues I and I+1. Note that if IFIRST = ILAST
 *>          then WGAP(IFIRST-OFFSET) must be set to ZERO.  *>          then WGAP(IFIRST-OFFSET) must be set to ZERO.
 *>          On output, these gaps are refined.  *>          On output, these gaps are refined.
 *> \endverbatim  *> \endverbatim
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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 auxOTHERauxiliary  *> \ingroup OTHERauxiliary
 *  *
 *> \par Contributors:  *> \par Contributors:
 *  ==================  *  ==================
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      $                   RTOL2, OFFSET, W, WGAP, WERR, WORK, IWORK,       $                   RTOL2, OFFSET, W, WGAP, WERR, WORK, IWORK,
      $                   PIVMIN, SPDIAM, TWIST, INFO )       $                   PIVMIN, SPDIAM, TWIST, 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            IFIRST, ILAST, INFO, N, OFFSET, TWIST        INTEGER            IFIRST, ILAST, INFO, N, OFFSET, TWIST
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 *  *
       INFO = 0        INFO = 0
 *  *
   *     Quick return if possible
   *
         IF( N.LE.0 ) THEN
            RETURN
         END IF
   *
       MAXITR = INT( ( LOG( SPDIAM+PIVMIN )-LOG( PIVMIN ) ) /        MAXITR = INT( ( LOG( SPDIAM+PIVMIN )-LOG( PIVMIN ) ) /
      $           LOG( TWO ) ) + 2       $           LOG( TWO ) ) + 2
       MNWDTH = TWO * PIVMIN        MNWDTH = TWO * PIVMIN
Removed from v.1.14  
changed lines
  Added in v.1.20

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