version 1.11, 2012/08/22 09:48:16
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version 1.20, 2023/08/07 08:38:53
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*> \brief \b DLAED8 |
*> \brief \b DLAED8 used by DSTEDC. Merges eigenvalues and deflates secular equation. Used when the original matrix is dense. |
* |
* |
* =========== 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 DLAED8 + dependencies |
*> Download DLAED8 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed8.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaed8.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed8.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaed8.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed8.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaed8.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
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* SUBROUTINE DLAED8( ICOMPQ, K, N, QSIZ, D, Q, LDQ, INDXQ, RHO, |
* SUBROUTINE DLAED8( ICOMPQ, K, N, QSIZ, D, Q, LDQ, INDXQ, RHO, |
* CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR, |
* CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR, |
* GIVCOL, GIVNUM, INDXP, INDX, INFO ) |
* GIVCOL, GIVNUM, INDXP, INDX, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER CUTPNT, GIVPTR, ICOMPQ, INFO, K, LDQ, LDQ2, N, |
* INTEGER CUTPNT, GIVPTR, ICOMPQ, INFO, K, LDQ, LDQ2, N, |
* $ QSIZ |
* $ QSIZ |
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* DOUBLE PRECISION D( * ), DLAMDA( * ), GIVNUM( 2, * ), |
* DOUBLE PRECISION D( * ), DLAMDA( * ), GIVNUM( 2, * ), |
* $ Q( LDQ, * ), Q2( LDQ2, * ), W( * ), Z( * ) |
* $ Q( LDQ, * ), Q2( LDQ2, * ), W( * ), Z( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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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 November 2011 |
|
* |
* |
*> \ingroup auxOTHERcomputational |
*> \ingroup auxOTHERcomputational |
* |
* |
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$ CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR, |
$ CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR, |
$ GIVCOL, GIVNUM, INDXP, INDX, INFO ) |
$ GIVCOL, GIVNUM, INDXP, INDX, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- LAPACK computational 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..-- |
* November 2011 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER CUTPNT, GIVPTR, ICOMPQ, INFO, K, LDQ, LDQ2, N, |
INTEGER CUTPNT, GIVPTR, ICOMPQ, INFO, K, LDQ, LDQ2, N, |
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END IF |
END IF |
* |
* |
* Need to initialize GIVPTR to O here in case of quick exit |
* Need to initialize GIVPTR to O here in case of quick exit |
* to prevent an unspecified code behavior (usually sigfault) |
* to prevent an unspecified code behavior (usually sigfault) |
* when IWORK array on entry to *stedc is not zeroed |
* when IWORK array on entry to *stedc is not zeroed |
* (or at least some IWORK entries which used in *laed7 for GIVPTR). |
* (or at least some IWORK entries which used in *laed7 for GIVPTR). |
* |
* |
GIVPTR = 0 |
GIVPTR = 0 |
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Z( I ) = W( INDX( I ) ) |
Z( I ) = W( INDX( I ) ) |
40 CONTINUE |
40 CONTINUE |
* |
* |
* Calculate the allowable deflation tolerence |
* Calculate the allowable deflation tolerance |
* |
* |
IMAX = IDAMAX( N, Z, 1 ) |
IMAX = IDAMAX( N, Z, 1 ) |
JMAX = IDAMAX( N, D, 1 ) |
JMAX = IDAMAX( N, D, 1 ) |