NAME

       zhecon_rook.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zhecon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO)
           ZHECON_ROOK estimates the reciprocal of the condition number fort HE matrices using
           factorization obtained with one of the bounded diagonal pivoting methods (max 2
           interchanges)

Function/Subroutine Documentation

   subroutine zhecon_rook (character UPLO, integer N, complex*16, dimension( lda, * ) A, integer
       LDA, integer, dimension( * ) IPIV, double precision ANORM, double precision RCOND,
       complex*16, dimension( * ) WORK, integer INFO)
       ZHECON_ROOK estimates the reciprocal of the condition number fort HE matrices using
       factorization obtained with one of the bounded diagonal pivoting methods (max 2
       interchanges)

       Purpose:

            ZHECON_ROOK estimates the reciprocal of the condition number of a complex
            Hermitian matrix A using the factorization A = U*D*U**H or
            A = L*D*L**H computed by CHETRF_ROOK.

            An estimate is obtained for norm(inv(A)), and the reciprocal of the
            condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

       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)
                     The block diagonal matrix D and the multipliers used to
                     obtain the factor U or L as computed by CHETRF_ROOK.

           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 CHETRF_ROOK.

           ANORM

                     ANORM is DOUBLE PRECISION
                     The 1-norm of the original matrix A.

           RCOND

                     RCOND is DOUBLE PRECISION
                     The reciprocal of the condition number of the matrix A,
                     computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
                     estimate of the 1-norm of inv(A) computed in this routine.

           WORK

                     WORK is COMPLEX*16 array, dimension (2*N)

           INFO

                     INFO is INTEGER
                     = 0:  successful exit
                     < 0:  if INFO = -i, the i-th argument had an illegal value

       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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