Diff for /rpl/lapack/lapack/dgetf2.f between versions 1.7 and 1.8

version 1.7, 2010/12/21 13:53:26 version 1.8, 2011/11/21 20:42:52
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   *> \brief \b DGETF2
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download DGETF2 + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetf2.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetf2.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetf2.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE DGETF2( M, N, A, LDA, IPIV, INFO )
   * 
   *       .. Scalar Arguments ..
   *       INTEGER            INFO, LDA, M, N
   *       ..
   *       .. Array Arguments ..
   *       INTEGER            IPIV( * )
   *       DOUBLE PRECISION   A( LDA, * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> DGETF2 computes an LU factorization of a general m-by-n matrix A
   *> using partial pivoting with row interchanges.
   *>
   *> The factorization has the form
   *>    A = P * L * U
   *> where P is a permutation matrix, L is lower triangular with unit
   *> diagonal elements (lower trapezoidal if m > n), and U is upper
   *> triangular (upper trapezoidal if m < n).
   *>
   *> This is the right-looking Level 2 BLAS version of the algorithm.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] M
   *> \verbatim
   *>          M is INTEGER
   *>          The number of rows of the matrix A.  M >= 0.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The number of columns of the matrix A.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in,out] A
   *> \verbatim
   *>          A is DOUBLE PRECISION array, dimension (LDA,N)
   *>          On entry, the m by n matrix to be factored.
   *>          On exit, the factors L and U from the factorization
   *>          A = P*L*U; the unit diagonal elements of L are not stored.
   *> \endverbatim
   *>
   *> \param[in] LDA
   *> \verbatim
   *>          LDA is INTEGER
   *>          The leading dimension of the array A.  LDA >= max(1,M).
   *> \endverbatim
   *>
   *> \param[out] IPIV
   *> \verbatim
   *>          IPIV is INTEGER array, dimension (min(M,N))
   *>          The pivot indices; for 1 <= i <= min(M,N), row i of the
   *>          matrix was interchanged with row IPIV(i).
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0: successful exit
   *>          < 0: if INFO = -k, the k-th argument had an illegal value
   *>          > 0: if INFO = k, U(k,k) is exactly zero. The factorization
   *>               has been completed, but the factor U is exactly
   *>               singular, and division by zero will occur if it is used
   *>               to solve a system of equations.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup doubleGEcomputational
   *
   *  =====================================================================
       SUBROUTINE DGETF2( M, N, A, LDA, IPIV, INFO )        SUBROUTINE DGETF2( M, N, A, LDA, IPIV, INFO )
 *  *
 *  -- LAPACK routine (version 3.2) --  *  -- LAPACK computational 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            INFO, LDA, M, N        INTEGER            INFO, LDA, M, N
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       DOUBLE PRECISION   A( LDA, * )        DOUBLE PRECISION   A( LDA, * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  DGETF2 computes an LU factorization of a general m-by-n matrix A  
 *  using partial pivoting with row interchanges.  
 *  
 *  The factorization has the form  
 *     A = P * L * U  
 *  where P is a permutation matrix, L is lower triangular with unit  
 *  diagonal elements (lower trapezoidal if m > n), and U is upper  
 *  triangular (upper trapezoidal if m < n).  
 *  
 *  This is the right-looking Level 2 BLAS version of the algorithm.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  M       (input) INTEGER  
 *          The number of rows of the matrix A.  M >= 0.  
 *  
 *  N       (input) INTEGER  
 *          The number of columns of the matrix A.  N >= 0.  
 *  
 *  A       (input/output) DOUBLE PRECISION array, dimension (LDA,N)  
 *          On entry, the m by n matrix to be factored.  
 *          On exit, the factors L and U from the factorization  
 *          A = P*L*U; the unit diagonal elements of L are not stored.  
 *  
 *  LDA     (input) INTEGER  
 *          The leading dimension of the array A.  LDA >= max(1,M).  
 *  
 *  IPIV    (output) INTEGER array, dimension (min(M,N))  
 *          The pivot indices; for 1 <= i <= min(M,N), row i of the  
 *          matrix was interchanged with row IPIV(i).  
 *  
 *  INFO    (output) INTEGER  
 *          = 0: successful exit  
 *          < 0: if INFO = -k, the k-th argument had an illegal value  
 *          > 0: if INFO = k, U(k,k) is exactly zero. The factorization  
 *               has been completed, but the factor U is exactly  
 *               singular, and division by zero will occur if it is used  
 *               to solve a system of equations.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..

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  Added in v.1.8


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