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Diff for /rpl/lapack/lapack/zlapll.f between versions 1.7 and 1.8

version 1.7, 2010/12/21 13:53:50 version 1.8, 2011/11/21 20:43:16
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   *> \brief \b ZLAPLL
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZLAPLL + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlapll.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlapll.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlapll.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZLAPLL( N, X, INCX, Y, INCY, SSMIN )
   * 
   *       .. Scalar Arguments ..
   *       INTEGER            INCX, INCY, N
   *       DOUBLE PRECISION   SSMIN
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         X( * ), Y( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> Given two column vectors X and Y, let
   *>
   *>                      A = ( X Y ).
   *>
   *> The subroutine first computes the QR factorization of A = Q*R,
   *> and then computes the SVD of the 2-by-2 upper triangular matrix R.
   *> The smaller singular value of R is returned in SSMIN, which is used
   *> as the measurement of the linear dependency of the vectors X and Y.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The length of the vectors X and Y.
   *> \endverbatim
   *>
   *> \param[in,out] X
   *> \verbatim
   *>          X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
   *>          On entry, X contains the N-vector X.
   *>          On exit, X is overwritten.
   *> \endverbatim
   *>
   *> \param[in] INCX
   *> \verbatim
   *>          INCX is INTEGER
   *>          The increment between successive elements of X. INCX > 0.
   *> \endverbatim
   *>
   *> \param[in,out] Y
   *> \verbatim
   *>          Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
   *>          On entry, Y contains the N-vector Y.
   *>          On exit, Y is overwritten.
   *> \endverbatim
   *>
   *> \param[in] INCY
   *> \verbatim
   *>          INCY is INTEGER
   *>          The increment between successive elements of Y. INCY > 0.
   *> \endverbatim
   *>
   *> \param[out] SSMIN
   *> \verbatim
   *>          SSMIN is DOUBLE PRECISION
   *>          The smallest singular value of the N-by-2 matrix A = ( X Y ).
   *> \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 ZLAPLL( N, X, INCX, Y, INCY, SSMIN )        SUBROUTINE ZLAPLL( N, X, INCX, Y, INCY, SSMIN )
 *  *
 *  -- LAPACK auxiliary routine (version 3.2) --  *  -- 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..--
 *     November 2006  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            INCX, INCY, N        INTEGER            INCX, INCY, N
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       COMPLEX*16         X( * ), Y( * )        COMPLEX*16         X( * ), Y( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  Given two column vectors X and Y, let  
 *  
 *                       A = ( X Y ).  
 *  
 *  The subroutine first computes the QR factorization of A = Q*R,  
 *  and then computes the SVD of the 2-by-2 upper triangular matrix R.  
 *  The smaller singular value of R is returned in SSMIN, which is used  
 *  as the measurement of the linear dependency of the vectors X and Y.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  N       (input) INTEGER  
 *          The length of the vectors X and Y.  
 *  
 *  X       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)  
 *          On entry, X contains the N-vector X.  
 *          On exit, X is overwritten.  
 *  
 *  INCX    (input) INTEGER  
 *          The increment between successive elements of X. INCX > 0.  
 *  
 *  Y       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCY)  
 *          On entry, Y contains the N-vector Y.  
 *          On exit, Y is overwritten.  
 *  
 *  INCY    (input) INTEGER  
 *          The increment between successive elements of Y. INCY > 0.  
 *  
 *  SSMIN   (output) DOUBLE PRECISION  
 *          The smallest singular value of the N-by-2 matrix A = ( X Y ).  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.7  
changed lines
  Added in v.1.8

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