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version 1.8, 2011/07/22 07:38:17 version 1.9, 2011/11/21 20:43:14
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   *> \brief \b ZLAEIN
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZLAEIN + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaein.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaein.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaein.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZLAEIN( RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK,
   *                          EPS3, SMLNUM, INFO )
   * 
   *       .. Scalar Arguments ..
   *       LOGICAL            NOINIT, RIGHTV
   *       INTEGER            INFO, LDB, LDH, N
   *       DOUBLE PRECISION   EPS3, SMLNUM
   *       COMPLEX*16         W
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION   RWORK( * )
   *       COMPLEX*16         B( LDB, * ), H( LDH, * ), V( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZLAEIN uses inverse iteration to find a right or left eigenvector
   *> corresponding to the eigenvalue W of a complex upper Hessenberg
   *> matrix H.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] RIGHTV
   *> \verbatim
   *>          RIGHTV is LOGICAL
   *>          = .TRUE. : compute right eigenvector;
   *>          = .FALSE.: compute left eigenvector.
   *> \endverbatim
   *>
   *> \param[in] NOINIT
   *> \verbatim
   *>          NOINIT is LOGICAL
   *>          = .TRUE. : no initial vector supplied in V
   *>          = .FALSE.: initial vector supplied in V.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix H.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in] H
   *> \verbatim
   *>          H is COMPLEX*16 array, dimension (LDH,N)
   *>          The upper Hessenberg matrix H.
   *> \endverbatim
   *>
   *> \param[in] LDH
   *> \verbatim
   *>          LDH is INTEGER
   *>          The leading dimension of the array H.  LDH >= max(1,N).
   *> \endverbatim
   *>
   *> \param[in] W
   *> \verbatim
   *>          W is COMPLEX*16
   *>          The eigenvalue of H whose corresponding right or left
   *>          eigenvector is to be computed.
   *> \endverbatim
   *>
   *> \param[in,out] V
   *> \verbatim
   *>          V is COMPLEX*16 array, dimension (N)
   *>          On entry, if NOINIT = .FALSE., V must contain a starting
   *>          vector for inverse iteration; otherwise V need not be set.
   *>          On exit, V contains the computed eigenvector, normalized so
   *>          that the component of largest magnitude has magnitude 1; here
   *>          the magnitude of a complex number (x,y) is taken to be
   *>          |x| + |y|.
   *> \endverbatim
   *>
   *> \param[out] B
   *> \verbatim
   *>          B is COMPLEX*16 array, dimension (LDB,N)
   *> \endverbatim
   *>
   *> \param[in] LDB
   *> \verbatim
   *>          LDB is INTEGER
   *>          The leading dimension of the array B.  LDB >= max(1,N).
   *> \endverbatim
   *>
   *> \param[out] RWORK
   *> \verbatim
   *>          RWORK is DOUBLE PRECISION array, dimension (N)
   *> \endverbatim
   *>
   *> \param[in] EPS3
   *> \verbatim
   *>          EPS3 is DOUBLE PRECISION
   *>          A small machine-dependent value which is used to perturb
   *>          close eigenvalues, and to replace zero pivots.
   *> \endverbatim
   *>
   *> \param[in] SMLNUM
   *> \verbatim
   *>          SMLNUM is DOUBLE PRECISION
   *>          A machine-dependent value close to the underflow threshold.
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0:  successful exit
   *>          = 1:  inverse iteration did not converge; V is set to the
   *>                last iterate.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16OTHERauxiliary
   *
   *  =====================================================================
       SUBROUTINE ZLAEIN( RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK,        SUBROUTINE ZLAEIN( RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK,
      $                   EPS3, SMLNUM, INFO )       $                   EPS3, SMLNUM, INFO )
 *  *
 *  -- LAPACK auxiliary routine (version 3.3.1) --  *  -- LAPACK auxiliary routine (version 3.4.0) --
 *  -- 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..--
 *  -- April 2011                                                      --  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       LOGICAL            NOINIT, RIGHTV        LOGICAL            NOINIT, RIGHTV
Line 17 Line 165
       COMPLEX*16         B( LDB, * ), H( LDH, * ), V( * )        COMPLEX*16         B( LDB, * ), H( LDH, * ), V( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZLAEIN uses inverse iteration to find a right or left eigenvector  
 *  corresponding to the eigenvalue W of a complex upper Hessenberg  
 *  matrix H.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  RIGHTV   (input) LOGICAL  
 *          = .TRUE. : compute right eigenvector;  
 *          = .FALSE.: compute left eigenvector.  
 *  
 *  NOINIT   (input) LOGICAL  
 *          = .TRUE. : no initial vector supplied in V  
 *          = .FALSE.: initial vector supplied in V.  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix H.  N >= 0.  
 *  
 *  H       (input) COMPLEX*16 array, dimension (LDH,N)  
 *          The upper Hessenberg matrix H.  
 *  
 *  LDH     (input) INTEGER  
 *          The leading dimension of the array H.  LDH >= max(1,N).  
 *  
 *  W       (input) COMPLEX*16  
 *          The eigenvalue of H whose corresponding right or left  
 *          eigenvector is to be computed.  
 *  
 *  V       (input/output) COMPLEX*16 array, dimension (N)  
 *          On entry, if NOINIT = .FALSE., V must contain a starting  
 *          vector for inverse iteration; otherwise V need not be set.  
 *          On exit, V contains the computed eigenvector, normalized so  
 *          that the component of largest magnitude has magnitude 1; here  
 *          the magnitude of a complex number (x,y) is taken to be  
 *          |x| + |y|.  
 *  
 *  B       (workspace) COMPLEX*16 array, dimension (LDB,N)  
 *  
 *  LDB     (input) INTEGER  
 *          The leading dimension of the array B.  LDB >= max(1,N).  
 *  
 *  RWORK   (workspace) DOUBLE PRECISION array, dimension (N)  
 *  
 *  EPS3    (input) DOUBLE PRECISION  
 *          A small machine-dependent value which is used to perturb  
 *          close eigenvalues, and to replace zero pivots.  
 *  
 *  SMLNUM  (input) DOUBLE PRECISION  
 *          A machine-dependent value close to the underflow threshold.  
 *  
 *  INFO    (output) INTEGER  
 *          = 0:  successful exit  
 *          = 1:  inverse iteration did not converge; V is set to the  
 *                last iterate.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.8  
changed lines
  Added in v.1.9

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