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 (characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA,
       integer, dimension( * )IPIV, complex*16, dimension( * )WORK, integerINFO)
       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

       Definition at line 129 of file zhetri_rook.f.

Author

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