NAME

       checon_rook.f -

SYNOPSIS

   Functions/Subroutines
       subroutine checon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO)
           CHECON_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 checon_rook (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA,
       integer, dimension( * )IPIV, realANORM, realRCOND, complex, dimension( * )WORK,
       integerINFO)
       CHECON_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:

            CHECON_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 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 REAL
                     The 1-norm of the original matrix A.

           RCOND

                     RCOND is REAL
                     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 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

       Definition at line 139 of file checon_rook.f.

Author

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