NAME

       zhptri.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zhptri (UPLO, N, AP, IPIV, WORK, INFO)
           ZHPTRI

Function/Subroutine Documentation

   subroutine zhptri (character UPLO, integer N, complex*16, dimension( * ) AP, integer,
       dimension( * ) IPIV, complex*16, dimension( * ) WORK, integer INFO)
       ZHPTRI

       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.

       Parameters:
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           AP

                     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.

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     Details of the interchanges and the block structure of D
                     as determined by ZHPTRF.

           WORK

                     WORK is COMPLEX*16 array, dimension (N)

           INFO

                     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.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           November 2011

Author

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