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version 1.7, 2010/12/21 13:53:26 version 1.16, 2017/06/17 11:06:18
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   *> \brief \b DGETRS
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at
   *            http://www.netlib.org/lapack/explore-html/
   *
   *> \htmlonly
   *> Download DGETRS + dependencies
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgetrs.f">
   *> [TGZ]</a>
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgetrs.f">
   *> [ZIP]</a>
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgetrs.f">
   *> [TXT]</a>
   *> \endhtmlonly
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )
   *
   *       .. Scalar Arguments ..
   *       CHARACTER          TRANS
   *       INTEGER            INFO, LDA, LDB, N, NRHS
   *       ..
   *       .. Array Arguments ..
   *       INTEGER            IPIV( * )
   *       DOUBLE PRECISION   A( LDA, * ), B( LDB, * )
   *       ..
   *
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> DGETRS solves a system of linear equations
   *>    A * X = B  or  A**T * X = B
   *> with a general N-by-N matrix A using the LU factorization computed
   *> by DGETRF.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] TRANS
   *> \verbatim
   *>          TRANS is CHARACTER*1
   *>          Specifies the form of the system of equations:
   *>          = 'N':  A * X = B  (No transpose)
   *>          = 'T':  A**T* X = B  (Transpose)
   *>          = 'C':  A**T* X = B  (Conjugate transpose = Transpose)
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix A.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in] NRHS
   *> \verbatim
   *>          NRHS is INTEGER
   *>          The number of right hand sides, i.e., the number of columns
   *>          of the matrix B.  NRHS >= 0.
   *> \endverbatim
   *>
   *> \param[in] A
   *> \verbatim
   *>          A is DOUBLE PRECISION array, dimension (LDA,N)
   *>          The factors L and U from the factorization A = P*L*U
   *>          as computed by DGETRF.
   *> \endverbatim
   *>
   *> \param[in] LDA
   *> \verbatim
   *>          LDA is INTEGER
   *>          The leading dimension of the array A.  LDA >= max(1,N).
   *> \endverbatim
   *>
   *> \param[in] IPIV
   *> \verbatim
   *>          IPIV is INTEGER array, dimension (N)
   *>          The pivot indices from DGETRF; for 1<=i<=N, row i of the
   *>          matrix was interchanged with row IPIV(i).
   *> \endverbatim
   *>
   *> \param[in,out] B
   *> \verbatim
   *>          B is DOUBLE PRECISION array, dimension (LDB,NRHS)
   *>          On entry, the right hand side matrix B.
   *>          On exit, the solution matrix X.
   *> \endverbatim
   *>
   *> \param[in] LDB
   *> \verbatim
   *>          LDB is INTEGER
   *>          The leading dimension of the array B.  LDB >= max(1,N).
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0:  successful exit
   *>          < 0:  if INFO = -i, the i-th argument had an illegal value
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee
   *> \author Univ. of California Berkeley
   *> \author Univ. of Colorado Denver
   *> \author NAG Ltd.
   *
   *> \date December 2016
   *
   *> \ingroup doubleGEcomputational
   *
   *  =====================================================================
       SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )        SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )
 *  *
 *  -- LAPACK routine (version 3.2) --  *  -- 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 2006  *     December 2016
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          TRANS        CHARACTER          TRANS
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       DOUBLE PRECISION   A( LDA, * ), B( LDB, * )        DOUBLE PRECISION   A( LDA, * ), B( LDB, * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  DGETRS solves a system of linear equations  
 *     A * X = B  or  A' * X = B  
 *  with a general N-by-N matrix A using the LU factorization computed  
 *  by DGETRF.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  TRANS   (input) CHARACTER*1  
 *          Specifies the form of the system of equations:  
 *          = 'N':  A * X = B  (No transpose)  
 *          = 'T':  A'* X = B  (Transpose)  
 *          = 'C':  A'* X = B  (Conjugate transpose = Transpose)  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix A.  N >= 0.  
 *  
 *  NRHS    (input) INTEGER  
 *          The number of right hand sides, i.e., the number of columns  
 *          of the matrix B.  NRHS >= 0.  
 *  
 *  A       (input) DOUBLE PRECISION array, dimension (LDA,N)  
 *          The factors L and U from the factorization A = P*L*U  
 *          as computed by DGETRF.  
 *  
 *  LDA     (input) INTEGER  
 *          The leading dimension of the array A.  LDA >= max(1,N).  
 *  
 *  IPIV    (input) INTEGER array, dimension (N)  
 *          The pivot indices from DGETRF; for 1<=i<=N, row i of the  
 *          matrix was interchanged with row IPIV(i).  
 *  
 *  B       (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)  
 *          On entry, the right hand side matrix B.  
 *          On exit, the solution matrix X.  
 *  
 *  LDB     (input) INTEGER  
 *          The leading dimension of the array B.  LDB >= max(1,N).  
 *  
 *  INFO    (output) INTEGER  
 *          = 0:  successful exit  
 *          < 0:  if INFO = -i, the i-th argument had an illegal value  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
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      $               NRHS, ONE, A, LDA, B, LDB )       $               NRHS, ONE, A, LDA, B, LDB )
       ELSE        ELSE
 *  *
 *        Solve A' * X = B.  *        Solve A**T * X = B.
 *  *
 *        Solve U'*X = B, overwriting B with X.  *        Solve U**T *X = B, overwriting B with X.
 *  *
          CALL DTRSM( 'Left', 'Upper', 'Transpose', 'Non-unit', N, NRHS,           CALL DTRSM( 'Left', 'Upper', 'Transpose', 'Non-unit', N, NRHS,
      $               ONE, A, LDA, B, LDB )       $               ONE, A, LDA, B, LDB )
 *  *
 *        Solve L'*X = B, overwriting B with X.  *        Solve L**T *X = B, overwriting B with X.
 *  *
          CALL DTRSM( 'Left', 'Lower', 'Transpose', 'Unit', N, NRHS, ONE,           CALL DTRSM( 'Left', 'Lower', 'Transpose', 'Unit', N, NRHS, ONE,
      $               A, LDA, B, LDB )       $               A, LDA, B, LDB )
Removed from v.1.7  
changed lines
  Added in v.1.16

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