version 1.14, 2012/12/14 12:30:24
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version 1.24, 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 DLARRE + dependencies |
*> Download DLARRE + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarre.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarre.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarre.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarre.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarre.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarre.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
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* RTOL1, RTOL2, SPLTOL, NSPLIT, ISPLIT, M, |
* RTOL1, RTOL2, SPLTOL, NSPLIT, ISPLIT, M, |
* W, WERR, WGAP, IBLOCK, INDEXW, GERS, PIVMIN, |
* W, WERR, WGAP, IBLOCK, INDEXW, GERS, PIVMIN, |
* WORK, IWORK, INFO ) |
* WORK, IWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER RANGE |
* CHARACTER RANGE |
* INTEGER IL, INFO, IU, M, N, NSPLIT |
* INTEGER IL, INFO, IU, M, N, NSPLIT |
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* DOUBLE PRECISION D( * ), E( * ), E2( * ), GERS( * ), |
* DOUBLE PRECISION D( * ), E( * ), E2( * ), GERS( * ), |
* $ W( * ),WERR( * ), WGAP( * ), WORK( * ) |
* $ W( * ),WERR( * ), WGAP( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> \param[in,out] VL |
*> \param[in,out] VL |
*> \verbatim |
*> \verbatim |
*> VL is DOUBLE PRECISION |
*> VL is DOUBLE PRECISION |
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*> If RANGE='V', the lower bound for the eigenvalues. |
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*> Eigenvalues less than or equal to VL, or greater than VU, |
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*> will not be returned. VL < VU. |
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*> If RANGE='I' or ='A', DLARRE computes bounds on the desired |
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*> part of the spectrum. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in,out] VU |
*> \param[in,out] VU |
*> \verbatim |
*> \verbatim |
*> VU is DOUBLE PRECISION |
*> VU is DOUBLE PRECISION |
*> If RANGE='V', the lower and upper bounds for the eigenvalues. |
*> If RANGE='V', the upper bound for the eigenvalues. |
*> Eigenvalues less than or equal to VL, or greater than VU, |
*> Eigenvalues less than or equal to VL, or greater than VU, |
*> will not be returned. VL < VU. |
*> will not be returned. VL < VU. |
*> If RANGE='I' or ='A', DLARRE computes bounds on the desired |
*> If RANGE='I' or ='A', DLARRE computes bounds on the desired |
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*> \param[in] IL |
*> \param[in] IL |
*> \verbatim |
*> \verbatim |
*> IL is INTEGER |
*> IL is INTEGER |
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*> If RANGE='I', the index of the |
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*> smallest eigenvalue to be returned. |
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*> 1 <= IL <= IU <= N. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in] IU |
*> \param[in] IU |
*> \verbatim |
*> \verbatim |
*> IU is INTEGER |
*> IU is INTEGER |
*> If RANGE='I', the indices (in ascending order) of the |
*> If RANGE='I', the index of the |
*> smallest and largest eigenvalues to be returned. |
*> largest eigenvalue to be returned. |
*> 1 <= IL <= IU <= N. |
*> 1 <= IL <= IU <= N. |
*> \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] SPLTOL |
*> \param[in] SPLTOL |
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*> \verbatim |
*> \verbatim |
*> INFO is INTEGER |
*> INFO is INTEGER |
*> = 0: successful exit |
*> = 0: successful exit |
*> > 0: A problem occured in DLARRE. |
*> > 0: A problem occurred in DLARRE. |
*> < 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 OTHERauxiliary |
* |
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*> \ingroup auxOTHERauxiliary |
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* |
* |
*> \par Further Details: |
*> \par Further Details: |
* ===================== |
* ===================== |
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$ W, WERR, WGAP, IBLOCK, INDEXW, GERS, PIVMIN, |
$ W, WERR, WGAP, IBLOCK, INDEXW, GERS, PIVMIN, |
$ 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 |
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* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER RANGE |
CHARACTER RANGE |
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* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL DCOPY, DLARNV, DLARRA, DLARRB, DLARRC, DLARRD, |
EXTERNAL DCOPY, DLARNV, DLARRA, DLARRB, DLARRC, DLARRD, |
$ DLASQ2 |
$ DLASQ2, DLARRK |
* .. |
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC ABS, MAX, MIN |
INTRINSIC ABS, MAX, MIN |
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* |
* |
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INFO = 0 |
INFO = 0 |
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* |
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* Quick return if possible |
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* |
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IF( N.LE.0 ) THEN |
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RETURN |
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END IF |
* |
* |
* Decode RANGE |
* Decode RANGE |
* |
* |
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RETURN |
RETURN |
* |
* |
* end of DLARRE |
* End of DLARRE |
* |
* |
END |
END |