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version 1.7, 2010/12/21 13:53:40 version 1.8, 2011/11/21 20:43:06
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   *> \brief \b DTPTRI
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download DTPTRI + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtptri.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtptri.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtptri.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE DTPTRI( UPLO, DIAG, N, AP, INFO )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          DIAG, UPLO
   *       INTEGER            INFO, N
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION   AP( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> DTPTRI computes the inverse of a real upper or lower triangular
   *> matrix A stored in packed format.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          = 'U':  A is upper triangular;
   *>          = 'L':  A is lower triangular.
   *> \endverbatim
   *>
   *> \param[in] DIAG
   *> \verbatim
   *>          DIAG is CHARACTER*1
   *>          = 'N':  A is non-unit triangular;
   *>          = 'U':  A is unit triangular.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix A.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in,out] AP
   *> \verbatim
   *>          AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
   *>          On entry, the upper or lower triangular matrix A, stored
   *>          columnwise in a linear array.  The j-th column of A is stored
   *>          in the array AP as follows:
   *>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
   *>          if UPLO = 'L', AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n.
   *>          See below for further details.
   *>          On exit, the (triangular) inverse of the original matrix, in
   *>          the same packed storage format.
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0:  successful exit
   *>          < 0:  if INFO = -i, the i-th argument had an illegal value
   *>          > 0:  if INFO = i, A(i,i) is exactly zero.  The triangular
   *>                matrix is singular and its inverse can not be computed.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup doubleOTHERcomputational
   *
   *> \par Further Details:
   *  =====================
   *>
   *> \verbatim
   *>
   *>  A triangular matrix A can be transferred to packed storage using one
   *>  of the following program segments:
   *>
   *>  UPLO = 'U':                      UPLO = 'L':
   *>
   *>        JC = 1                           JC = 1
   *>        DO 2 J = 1, N                    DO 2 J = 1, N
   *>           DO 1 I = 1, J                    DO 1 I = J, N
   *>              AP(JC+I-1) = A(I,J)              AP(JC+I-J) = A(I,J)
   *>      1    CONTINUE                    1    CONTINUE
   *>           JC = JC + J                      JC = JC + N - J + 1
   *>      2 CONTINUE                       2 CONTINUE
   *> \endverbatim
   *>
   *  =====================================================================
       SUBROUTINE DTPTRI( UPLO, DIAG, N, AP, INFO )        SUBROUTINE DTPTRI( UPLO, DIAG, N, AP, 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 ..
       CHARACTER          DIAG, UPLO        CHARACTER          DIAG, UPLO
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       DOUBLE PRECISION   AP( * )        DOUBLE PRECISION   AP( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  DTPTRI computes the inverse of a real upper or lower triangular  
 *  matrix A stored in packed format.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  UPLO    (input) CHARACTER*1  
 *          = 'U':  A is upper triangular;  
 *          = 'L':  A is lower triangular.  
 *  
 *  DIAG    (input) CHARACTER*1  
 *          = 'N':  A is non-unit triangular;  
 *          = 'U':  A is unit triangular.  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix A.  N >= 0.  
 *  
 *  AP      (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2)  
 *          On entry, the upper or lower triangular matrix A, stored  
 *          columnwise in a linear array.  The j-th column of A is stored  
 *          in the array AP as follows:  
 *          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;  
 *          if UPLO = 'L', AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n.  
 *          See below for further details.  
 *          On exit, the (triangular) inverse of the original matrix, in  
 *          the same packed storage format.  
 *  
 *  INFO    (output) INTEGER  
 *          = 0:  successful exit  
 *          < 0:  if INFO = -i, the i-th argument had an illegal value  
 *          > 0:  if INFO = i, A(i,i) is exactly zero.  The triangular  
 *                matrix is singular and its inverse can not be computed.  
 *  
 *  Further Details  
 *  ===============  
 *  
 *  A triangular matrix A can be transferred to packed storage using one  
 *  of the following program segments:  
 *  
 *  UPLO = 'U':                      UPLO = 'L':  
 *  
 *        JC = 1                           JC = 1  
 *        DO 2 J = 1, N                    DO 2 J = 1, N  
 *           DO 1 I = 1, J                    DO 1 I = J, N  
 *              AP(JC+I-1) = A(I,J)              AP(JC+I-J) = A(I,J)  
 *      1    CONTINUE                    1    CONTINUE  
 *           JC = JC + J                      JC = JC + N - J + 1  
 *      2 CONTINUE                       2 CONTINUE  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.7  
changed lines
  Added in v.1.8

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