NAME

       zhetri_rook.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zhetri_rook (UPLO, N, A, LDA, IPIV, WORK, INFO)
           ZHETRI_ROOK computes the inverse of HE matrix using the factorization obtained with
           the bounded Bunch-Kaufman ('rook') diagonal pivoting method.

Function/Subroutine Documentation

   subroutine zhetri_rook (character UPLO, integer N, complex*16, dimension( lda, * ) A, integer
       LDA, integer, dimension( * ) IPIV, complex*16, dimension( * ) WORK, integer INFO)
       ZHETRI_ROOK computes the inverse of HE matrix using the factorization obtained with the
       bounded Bunch-Kaufman ('rook') diagonal pivoting method.

       Purpose:

            ZHETRI_ROOK computes the inverse of a complex Hermitian indefinite matrix
            A using the factorization A = U*D*U**H or A = L*D*L**H computed by
            ZHETRF_ROOK.

       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.

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     On entry, the block diagonal matrix D and the multipliers
                     used to obtain the factor U or L as computed by ZHETRF_ROOK.

                     On exit, if INFO = 0, the (Hermitian) inverse of the original
                     matrix.  If UPLO = 'U', the upper triangular part of the
                     inverse is formed and the part of A below the diagonal is not
                     referenced; if UPLO = 'L' the lower triangular part of the
                     inverse is formed and the part of A above the diagonal is
                     not referenced.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           IPIV

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

           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 2013

       Contributors:

             November 2013,  Igor Kozachenko,
                             Computer Science Division,
                             University of California, Berkeley

             September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,
                             School of Mathematics,
                             University of Manchester

Author

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