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version 1.8, 2011/07/22 07:38:16 version 1.9, 2011/11/21 20:43:13
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   *> \brief \b ZHPTRI
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZHPTRI + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhptri.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhptri.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhptri.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZHPTRI( UPLO, N, AP, IPIV, WORK, INFO )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          UPLO
   *       INTEGER            INFO, N
   *       ..
   *       .. Array Arguments ..
   *       INTEGER            IPIV( * )
   *       COMPLEX*16         AP( * ), WORK( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZHPTRI computes the inverse of a complex Hermitian indefinite matrix
   *> A in packed storage using the factorization A = U*D*U**H or
   *> A = L*D*L**H computed by ZHPTRF.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          Specifies whether the details of the factorization are stored
   *>          as an upper or lower triangular matrix.
   *>          = 'U':  Upper triangular, form is A = U*D*U**H;
   *>          = 'L':  Lower triangular, form is A = L*D*L**H.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix A.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in,out] AP
   *> \verbatim
   *>          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
   *>          On entry, the block diagonal matrix D and the multipliers
   *>          used to obtain the factor U or L as computed by ZHPTRF,
   *>          stored as a packed triangular matrix.
   *>
   *>          On exit, if INFO = 0, the (Hermitian) inverse of the original
   *>          matrix, stored as a packed triangular matrix. The j-th column
   *>          of inv(A) is stored in the array AP as follows:
   *>          if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j;
   *>          if UPLO = 'L',
   *>             AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.
   *> \endverbatim
   *>
   *> \param[in] IPIV
   *> \verbatim
   *>          IPIV is INTEGER array, dimension (N)
   *>          Details of the interchanges and the block structure of D
   *>          as determined by ZHPTRF.
   *> \endverbatim
   *>
   *> \param[out] WORK
   *> \verbatim
   *>          WORK is COMPLEX*16 array, dimension (N)
   *> \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, D(i,i) = 0; the matrix is singular and its
   *>               inverse could 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 complex16OTHERcomputational
   *
   *  =====================================================================
       SUBROUTINE ZHPTRI( UPLO, N, AP, IPIV, WORK, INFO )        SUBROUTINE ZHPTRI( UPLO, N, AP, IPIV, WORK, INFO )
 *  *
 *  -- LAPACK routine (version 3.3.1) --  *  -- 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..--
 *  -- April 2011                                                      --  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          UPLO        CHARACTER          UPLO
Line 14 Line 123
       COMPLEX*16         AP( * ), WORK( * )        COMPLEX*16         AP( * ), WORK( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZHPTRI computes the inverse of a complex Hermitian indefinite matrix  
 *  A in packed storage using the factorization A = U*D*U**H or  
 *  A = L*D*L**H computed by ZHPTRF.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  UPLO    (input) CHARACTER*1  
 *          Specifies whether the details of the factorization are stored  
 *          as an upper or lower triangular matrix.  
 *          = 'U':  Upper triangular, form is A = U*D*U**H;  
 *          = 'L':  Lower triangular, form is A = L*D*L**H.  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix A.  N >= 0.  
 *  
 *  AP      (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)  
 *          On entry, the block diagonal matrix D and the multipliers  
 *          used to obtain the factor U or L as computed by ZHPTRF,  
 *          stored as a packed triangular matrix.  
 *  
 *          On exit, if INFO = 0, the (Hermitian) inverse of the original  
 *          matrix, stored as a packed triangular matrix. The j-th column  
 *          of inv(A) is stored in the array AP as follows:  
 *          if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j;  
 *          if UPLO = 'L',  
 *             AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.  
 *  
 *  IPIV    (input) INTEGER array, dimension (N)  
 *          Details of the interchanges and the block structure of D  
 *          as determined by ZHPTRF.  
 *  
 *  WORK    (workspace) COMPLEX*16 array, dimension (N)  
 *  
 *  INFO    (output) INTEGER  
 *          = 0: successful exit  
 *          < 0: if INFO = -i, the i-th argument had an illegal value  
 *          > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its  
 *               inverse could not be computed.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.8  
changed lines
  Added in v.1.9

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