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version 1.10, 2011/11/21 22:19:36 version 1.21, 2023/08/07 08:39:00
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 *> \brief \b DLATDF  *> \brief \b DLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate.
 *  *
 *  =========== 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 DLATDF + dependencies   *> Download DLATDF + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatdf.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatdf.f">
 *> [TGZ]</a>   *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatdf.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatdf.f">
 *> [ZIP]</a>   *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatdf.f">   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatdf.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly   *> \endhtmlonly
 *  *
 *  Definition:  *  Definition:
 *  ===========  *  ===========
 *  *
 *       SUBROUTINE DLATDF( IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV,  *       SUBROUTINE DLATDF( IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV,
 *                          JPIV )  *                          JPIV )
 *   *
 *       .. Scalar Arguments ..  *       .. Scalar Arguments ..
 *       INTEGER            IJOB, LDZ, N  *       INTEGER            IJOB, LDZ, N
 *       DOUBLE PRECISION   RDSCAL, RDSUM  *       DOUBLE PRECISION   RDSCAL, RDSUM
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 *       INTEGER            IPIV( * ), JPIV( * )  *       INTEGER            IPIV( * ), JPIV( * )
 *       DOUBLE PRECISION   RHS( * ), Z( LDZ, * )  *       DOUBLE PRECISION   RHS( * ), Z( LDZ, * )
 *       ..  *       ..
 *    *
 *  *
 *> \par Purpose:  *> \par Purpose:
 *  =============  *  =============
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 *>              Zx = +-e - f with the sign giving the greater value  *>              Zx = +-e - f with the sign giving the greater value
 *>              of 2-norm(x). About 5 times as expensive as Default.  *>              of 2-norm(x). About 5 times as expensive as Default.
 *>          IJOB .ne. 2: Local look ahead strategy where all entries of  *>          IJOB .ne. 2: Local look ahead strategy where all entries of
 *>              the r.h.s. b is choosen as either +1 or -1 (Default).  *>              the r.h.s. b is chosen as either +1 or -1 (Default).
 *> \endverbatim  *> \endverbatim
 *>  *>
 *> \param[in] N  *> \param[in] N
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 *>          RHS is DOUBLE PRECISION array, dimension (N)  *>          RHS is DOUBLE PRECISION array, dimension (N)
 *>          On entry, RHS contains contributions from other subsystems.  *>          On entry, RHS contains contributions from other subsystems.
 *>          On exit, RHS contains the solution of the subsystem with  *>          On exit, RHS contains the solution of the subsystem with
 *>          entries acoording to the value of IJOB (see above).  *>          entries according to the value of IJOB (see above).
 *> \endverbatim  *> \endverbatim
 *>  *>
 *> \param[in,out] RDSUM  *> \param[in,out] RDSUM
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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  
 *  *
 *> \ingroup doubleOTHERauxiliary  *> \ingroup doubleOTHERauxiliary
 *  *
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       SUBROUTINE DLATDF( IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV,        SUBROUTINE DLATDF( IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV,
      $                   JPIV )       $                   JPIV )
 *  *
 *  -- LAPACK auxiliary routine (version 3.4.0) --  *  -- LAPACK auxiliary routine --
 *  -- 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  
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            IJOB, LDZ, N        INTEGER            IJOB, LDZ, N
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 *  *
 *        Solve for U-part, look-ahead for RHS(N) = +-1. This is not done  *        Solve for U-part, look-ahead for RHS(N) = +-1. This is not done
 *        in BSOLVE and will hopefully give us a better estimate because  *        in BSOLVE and will hopefully give us a better estimate because
 *        any ill-conditioning of the original matrix is transfered to U  *        any ill-conditioning of the original matrix is transferred to U
 *        and not to L. U(N, N) is an approximation to sigma_min(LU).  *        and not to L. U(N, N) is an approximation to sigma_min(LU).
 *  *
          CALL DCOPY( N-1, RHS, 1, XP, 1 )           CALL DCOPY( N-1, RHS, 1, XP, 1 )
Removed from v.1.10  
changed lines
  Added in v.1.21

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