version 1.15, 2016/08/27 15:27:12
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version 1.20, 2023/08/07 08:39:19
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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 ZGESDD + dependencies |
*> Download ZGESDD + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgesdd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgesdd.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgesdd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgesdd.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgesdd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgesdd.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, |
* SUBROUTINE ZGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, |
* WORK, LWORK, RWORK, IWORK, INFO ) |
* WORK, LWORK, RWORK, IWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER JOBZ |
* CHARACTER JOBZ |
* INTEGER INFO, LDA, LDU, LDVT, LWORK, M, N |
* INTEGER INFO, LDA, LDU, LDVT, LWORK, M, N |
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* COMPLEX*16 A( LDA, * ), U( LDU, * ), VT( LDVT, * ), |
* COMPLEX*16 A( LDA, * ), U( LDU, * ), VT( LDVT, * ), |
* $ WORK( * ) |
* $ WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> \param[out] INFO |
*> \param[out] INFO |
*> \verbatim |
*> \verbatim |
*> INFO is INTEGER |
*> INFO is INTEGER |
*> = 0: successful exit. |
*> < 0: if INFO = -i, the i-th argument had an illegal value. |
*> < 0: if INFO = -i, the i-th argument had an illegal value. |
*> = -4: if A had a NAN entry. |
*> > 0: The updating process of DBDSDC did not converge. |
*> > 0: The updating process of DBDSDC did not converge. |
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*> = 0: successful exit. |
*> \endverbatim |
*> \endverbatim |
* |
* |
* 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. |
* |
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*> \date June 2016 |
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* |
* |
*> \ingroup complex16GEsing |
*> \ingroup complex16GEsing |
* |
* |
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*> Ming Gu and Huan Ren, Computer Science Division, University of |
*> Ming Gu and Huan Ren, Computer Science Division, University of |
*> California at Berkeley, USA |
*> California at Berkeley, USA |
*> |
*> |
*> @precisions fortran z -> c |
|
* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, |
SUBROUTINE ZGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, |
$ WORK, LWORK, RWORK, IWORK, INFO ) |
$ WORK, LWORK, RWORK, IWORK, INFO ) |
implicit none |
implicit none |
* |
* |
* -- LAPACK driver routine (version 3.6.1) -- |
* -- LAPACK driver 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..-- |
* June 2016 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER JOBZ |
CHARACTER JOBZ |
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$ ZLASET, ZUNGBR, ZUNGLQ, ZUNGQR, ZUNMBR |
$ ZLASET, ZUNGBR, ZUNGLQ, ZUNGQR, ZUNMBR |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME, DISNAN |
DOUBLE PRECISION DLAMCH, ZLANGE |
DOUBLE PRECISION DLAMCH, ZLANGE, DROUNDUP_LWORK |
EXTERNAL LSAME, DLAMCH, ZLANGE |
EXTERNAL LSAME, DLAMCH, ZLANGE, DISNAN, |
|
$ DROUNDUP_LWORK |
* .. |
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC INT, MAX, MIN, SQRT |
INTRINSIC INT, MAX, MIN, SQRT |
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* real workspace. NB refers to the optimal block size for the |
* real workspace. NB refers to the optimal block size for the |
* immediately following subroutine, as returned by ILAENV.) |
* immediately following subroutine, as returned by ILAENV.) |
* |
* |
IF( INFO.EQ.0 .AND. M.GT.0 .AND. N.GT.0 ) THEN |
IF( INFO.EQ.0 ) THEN |
IF( M.GE.N ) THEN |
MINWRK = 1 |
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MAXWRK = 1 |
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IF( M.GE.N .AND. MINMN.GT.0 ) THEN |
* |
* |
* There is no complex work space needed for bidiagonal SVD |
* There is no complex work space needed for bidiagonal SVD |
* The real work space needed for bidiagonal SVD (dbdsdc) is |
* The real work space needed for bidiagonal SVD (dbdsdc) is |
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MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZUNMBR_PRC_NN ) |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZUNMBR_PRC_NN ) |
END IF |
END IF |
END IF |
END IF |
ELSE |
ELSE IF( MINMN.GT.0 ) THEN |
* |
* |
* There is no complex work space needed for bidiagonal SVD |
* There is no complex work space needed for bidiagonal SVD |
* The real work space needed for bidiagonal SVD (dbdsdc) is |
* The real work space needed for bidiagonal SVD (dbdsdc) is |
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MAXWRK = MAX( MAXWRK, MINWRK ) |
MAXWRK = MAX( MAXWRK, MINWRK ) |
END IF |
END IF |
IF( INFO.EQ.0 ) THEN |
IF( INFO.EQ.0 ) THEN |
WORK( 1 ) = MAXWRK |
WORK( 1 ) = DROUNDUP_LWORK( MAXWRK ) |
IF( LWORK.LT.MINWRK .AND. .NOT. LQUERY ) THEN |
IF( LWORK.LT.MINWRK .AND. .NOT. LQUERY ) THEN |
INFO = -12 |
INFO = -12 |
END IF |
END IF |
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* Scale A if max element outside range [SMLNUM,BIGNUM] |
* Scale A if max element outside range [SMLNUM,BIGNUM] |
* |
* |
ANRM = ZLANGE( 'M', M, N, A, LDA, DUM ) |
ANRM = ZLANGE( 'M', M, N, A, LDA, DUM ) |
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IF( DISNAN( ANRM ) ) THEN |
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INFO = -4 |
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RETURN |
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END IF |
ISCL = 0 |
ISCL = 0 |
IF( ANRM.GT.ZERO .AND. ANRM.LT.SMLNUM ) THEN |
IF( ANRM.GT.ZERO .AND. ANRM.LT.SMLNUM ) THEN |
ISCL = 1 |
ISCL = 1 |
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* |
* |
* Return optimal workspace in WORK(1) |
* Return optimal workspace in WORK(1) |
* |
* |
WORK( 1 ) = MAXWRK |
WORK( 1 ) = DROUNDUP_LWORK( MAXWRK ) |
* |
* |
RETURN |
RETURN |
* |
* |