Diff for /rpl/lapack/lapack/zgeqr2p.f between versions 1.9 and 1.17

version 1.9, 2012/12/14 12:30:28 version 1.17, 2020/05/21 21:46:04
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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 ZGEQR2P + dependencies   *> Download ZGEQR2P + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgeqr2p.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgeqr2p.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgeqr2p.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgeqr2p.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgeqr2p.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgeqr2p.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
 *  *
 *       SUBROUTINE ZGEQR2P( M, N, A, LDA, TAU, WORK, INFO )  *       SUBROUTINE ZGEQR2P( M, N, A, LDA, TAU, WORK, INFO )
 *   *
 *       .. Scalar Arguments ..  *       .. Scalar Arguments ..
 *       INTEGER            INFO, LDA, M, N  *       INTEGER            INFO, LDA, M, N
 *       ..  *       ..
 *       .. Array Arguments ..  *       .. Array Arguments ..
 *       COMPLEX*16         A( LDA, * ), TAU( * ), WORK( * )  *       COMPLEX*16         A( LDA, * ), TAU( * ), WORK( * )
 *       ..  *       ..
 *    *
 *  *
 *> \par Purpose:  *> \par Purpose:
 *  =============  *  =============
 *>  *>
 *> \verbatim  *> \verbatim
 *>  *>
 *> ZGEQR2P computes a QR factorization of a complex m by n matrix A:  *> ZGEQR2P computes a QR factorization of a complex m-by-n matrix A:
 *> A = Q * R.  *>
   *>    A = Q * ( R ),
   *>            ( 0 )
   *>
   *> where:
   *>
   *>    Q is a m-by-m orthogonal matrix;
   *>    R is an upper-triangular n-by-n matrix with nonnegative diagonal
   *>    entries;
   *>    0 is a (m-n)-by-n zero matrix, if m > n.
   *>
 *> \endverbatim  *> \endverbatim
 *  *
 *  Arguments:  *  Arguments:
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 *>          On entry, the m by n matrix A.  *>          On entry, the m by n matrix A.
 *>          On exit, the elements on and above the diagonal of the array  *>          On exit, the elements on and above the diagonal of the array
 *>          contain the min(m,n) by n upper trapezoidal matrix R (R is  *>          contain the min(m,n) by n upper trapezoidal matrix R (R is
 *>          upper triangular if m >= n); the elements below the diagonal,  *>          upper triangular if m >= n). The diagonal entries of R
   *>          are real and nonnegative; the elements below the diagonal,
 *>          with the array TAU, represent the unitary matrix Q as a  *>          with the array TAU, represent the unitary matrix Q as a
 *>          product of elementary reflectors (see Further Details).  *>          product of elementary reflectors (see Further Details).
 *> \endverbatim  *> \endverbatim
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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 September 2012  *> \date November 2019
 *  *
 *> \ingroup complex16GEcomputational  *> \ingroup complex16GEcomputational
 *  *
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 *>  where tau is a complex scalar, and v is a complex vector with  *>  where tau is a complex scalar, and v is a complex vector with
 *>  v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i),  *>  v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i),
 *>  and tau in TAU(i).  *>  and tau in TAU(i).
   *>
   *> See Lapack Working Note 203 for details
 *> \endverbatim  *> \endverbatim
 *>  *>
 *  =====================================================================  *  =====================================================================
       SUBROUTINE ZGEQR2P( M, N, A, LDA, TAU, WORK, INFO )        SUBROUTINE ZGEQR2P( M, N, A, LDA, TAU, WORK, INFO )
 *  *
 *  -- LAPACK computational routine (version 3.4.2) --  *  -- LAPACK computational routine (version 3.9.0) --
 *  -- 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..--
 *     September 2012  *     November 2019
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            INFO, LDA, M, N        INTEGER            INFO, LDA, M, N

Removed from v.1.9  
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  Added in v.1.17


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