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NAME

       LAPACK-3 - returns the value of the one norm, or the Frobenius norm, or the infinity norm,
       or the element of largest absolute value of a complex symmetric matrix A

SYNOPSIS

       REAL FUNCTION CLANSY( NORM, UPLO, N, A, LDA, WORK )

           CHARACTER NORM, UPLO

           INTEGER   LDA, N

           REAL      WORK( * )

           COMPLEX   A( LDA, * )

PURPOSE

       CLANSY  returns the value of the one norm,  or the Frobenius norm, or the  infinity  norm,
       or the  element of  largest absolute value  of a complex symmetric matrix A.

DESCRIPTION

        CLANSY returns the value
           CLANSY = ( max(abs(A(i,j))), NORM = 'M' or 'm'
                    (
                    ( norm1(A),         NORM = '1', 'O' or 'o'
                    (
                    ( normI(A),         NORM = 'I' or 'i'
                    (
                    ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
        where  norm1  denotes the  one norm of a matrix (maximum column sum),
        normI  denotes the  infinity norm  of a matrix  (maximum row sum) and
        normF  denotes the  Frobenius norm of a matrix (square root of sum of
        squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.

ARGUMENTS

        NORM    (input) CHARACTER*1
                Specifies the value to be returned in CLANSY as described
                above.

        UPLO    (input) CHARACTER*1
                Specifies whether the upper or lower triangular part of the
                symmetric matrix A is to be referenced.
                = 'U':  Upper triangular part of A is referenced
                = 'L':  Lower triangular part of A is referenced

        N       (input) INTEGER
                The order of the matrix A.  N >= 0.  When N = 0, CLANSY is
                set to zero.

        A       (input) COMPLEX array, dimension (LDA,N)
                The symmetric matrix A.  If UPLO = 'U', the leading n by n
                upper triangular part of A contains the upper triangular part
                of the matrix A, and the strictly lower triangular part of A
                is not referenced.  If UPLO = 'L', the leading n by n lower
                triangular part of A contains the lower triangular part of
                the matrix A, and the strictly upper triangular part of A is
                not referenced.

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

        WORK    (workspace) REAL array, dimension (MAX(1,LWORK)),
                where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
                WORK is not referenced.

 LAPACK auxiliary routine (version 3.2)     April 2011                            CLANSY(3lapack)