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Diff for /rpl/lapack/lapack/ztzrzf.f between versions 1.9 and 1.16

version 1.9, 2011/11/21 20:43:23 version 1.16, 2017/06/17 10:54:32
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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 ZTZRZF + dependencies   *> Download ZTZRZF + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztzrzf.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztzrzf.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztzrzf.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztzrzf.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztzrzf.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztzrzf.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
 *  *
 *       SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )  *       SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
 *   *
 *       .. Scalar Arguments ..  *       .. Scalar Arguments ..
 *       INTEGER            INFO, LDA, LWORK, M, N  *       INTEGER            INFO, LDA, LWORK, M, N
 *       ..  *       ..
 *       .. Array Arguments ..  *       .. Array Arguments ..
 *       COMPLEX*16         A( LDA, * ), TAU( * ), WORK( * )  *       COMPLEX*16         A( LDA, * ), TAU( * ), WORK( * )
 *       ..  *       ..
 *    *
 *  *
 *> \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  *> \date April 2012
 *  *
 *> \ingroup complex16OTHERcomputational  *> \ingroup complex16OTHERcomputational
 *  *
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 *>  *>
 *> \verbatim  *> \verbatim
 *>  *>
 *>  The factorization is obtained by Householder's method.  The kth  *>  The N-by-N matrix Z can be computed by
 *>  transformation matrix, Z( k ), which is used to introduce zeros into  
 *>  the ( m - k + 1 )th row of A, is given in the form  
 *>  *>
 *>     Z( k ) = ( I     0   ),  *>     Z =  Z(1)*Z(2)* ... *Z(M)
 *>              ( 0  T( k ) )  
 *>  *>
 *>  where  *>  where each N-by-N Z(k) is given by
 *>  *>
 *>     T( k ) = I - tau*u( k )*u( k )**H,   u( k ) = (   1    ),  *>     Z(k) = I - tau(k)*v(k)*v(k)**H
 *>                                                 (   0    )  
 *>                                                 ( z( k ) )  
 *>  *>
 *>  tau is a scalar and z( k ) is an ( n - m ) element vector.  *>  with v(k) is the kth row vector of the M-by-N matrix
 *>  tau and z( k ) are chosen to annihilate the elements of the kth row  
 *>  of X.  
 *>  *>
 *>  The scalar tau is returned in the kth element of TAU and the vector  *>     V = ( I   A(:,M+1:N) )
 *>  u( k ) in the kth row of A, such that the elements of z( k ) are  
 *>  in  a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in  
 *>  the upper triangular part of A.  
 *>  *>
 *>  Z is given by  *>  I is the M-by-M identity matrix, A(:,M+1:N)
   *>  is the output stored in A on exit from DTZRZF,
   *>  and tau(k) is the kth element of the array TAU.
 *>  *>
 *>     Z =  Z( 1 ) * Z( 2 ) * ... * Z( m ).  
 *> \endverbatim  *> \endverbatim
 *>  *>
 *  =====================================================================  *  =====================================================================
       SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )        SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
 *  *
 *  -- LAPACK computational routine (version 3.4.0) --  *  -- LAPACK computational routine (version 3.7.0) --
 *  -- 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 2011  *     April 2012
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            INFO, LDA, LWORK, M, N        INTEGER            INFO, LDA, LWORK, M, N
Removed from v.1.9  
changed lines
  Added in v.1.16

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