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version 1.8, 2011/07/22 07:38:15 version 1.9, 2011/11/21 20:43:12
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   *> \brief \b ZHPGST
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZHPGST + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhpgst.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhpgst.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhpgst.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZHPGST( ITYPE, UPLO, N, AP, BP, INFO )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          UPLO
   *       INTEGER            INFO, ITYPE, N
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         AP( * ), BP( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZHPGST reduces a complex Hermitian-definite generalized
   *> eigenproblem to standard form, using packed storage.
   *>
   *> If ITYPE = 1, the problem is A*x = lambda*B*x,
   *> and A is overwritten by inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H)
   *>
   *> If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
   *> B*A*x = lambda*x, and A is overwritten by U*A*U**H or L**H*A*L.
   *>
   *> B must have been previously factorized as U**H*U or L*L**H by ZPPTRF.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] ITYPE
   *> \verbatim
   *>          ITYPE is INTEGER
   *>          = 1: compute inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H);
   *>          = 2 or 3: compute U*A*U**H or L**H*A*L.
   *> \endverbatim
   *>
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          = 'U':  Upper triangle of A is stored and B is factored as
   *>                  U**H*U;
   *>          = 'L':  Lower triangle of A is stored and B is factored as
   *>                  L*L**H.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrices A and B.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in,out] AP
   *> \verbatim
   *>          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
   *>          On entry, the upper or lower triangle of the Hermitian matrix
   *>          A, packed 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)*(2n-j)/2) = A(i,j) for j<=i<=n.
   *>
   *>          On exit, if INFO = 0, the transformed matrix, stored in the
   *>          same format as A.
   *> \endverbatim
   *>
   *> \param[in] BP
   *> \verbatim
   *>          BP is COMPLEX*16 array, dimension (N*(N+1)/2)
   *>          The triangular factor from the Cholesky factorization of B,
   *>          stored in the same format as A, as returned by ZPPTRF.
   *> \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 November 2011
   *
   *> \ingroup complex16OTHERcomputational
   *
   *  =====================================================================
       SUBROUTINE ZHPGST( ITYPE, UPLO, N, AP, BP, INFO )        SUBROUTINE ZHPGST( ITYPE, UPLO, N, AP, BP, 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
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       COMPLEX*16         AP( * ), BP( * )        COMPLEX*16         AP( * ), BP( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZHPGST reduces a complex Hermitian-definite generalized  
 *  eigenproblem to standard form, using packed storage.  
 *  
 *  If ITYPE = 1, the problem is A*x = lambda*B*x,  
 *  and A is overwritten by inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H)  
 *  
 *  If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or  
 *  B*A*x = lambda*x, and A is overwritten by U*A*U**H or L**H*A*L.  
 *  
 *  B must have been previously factorized as U**H*U or L*L**H by ZPPTRF.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  ITYPE   (input) INTEGER  
 *          = 1: compute inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H);  
 *          = 2 or 3: compute U*A*U**H or L**H*A*L.  
 *  
 *  UPLO    (input) CHARACTER*1  
 *          = 'U':  Upper triangle of A is stored and B is factored as  
 *                  U**H*U;  
 *          = 'L':  Lower triangle of A is stored and B is factored as  
 *                  L*L**H.  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrices A and B.  N >= 0.  
 *  
 *  AP      (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)  
 *          On entry, the upper or lower triangle of the Hermitian matrix  
 *          A, packed 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)*(2n-j)/2) = A(i,j) for j<=i<=n.  
 *  
 *          On exit, if INFO = 0, the transformed matrix, stored in the  
 *          same format as A.  
 *  
 *  BP      (input) COMPLEX*16 array, dimension (N*(N+1)/2)  
 *          The triangular factor from the Cholesky factorization of B,  
 *          stored in the same format as A, as returned by ZPPTRF.  
 *  
 *  INFO    (output) INTEGER  
 *          = 0:  successful exit  
 *          < 0:  if INFO = -i, the i-th argument had an illegal value  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.8  
changed lines
  Added in v.1.9

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