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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 matrix A

SYNOPSIS

       DOUBLE PRECISION FUNCTION ZLANGE( NORM, M, N, A, LDA, WORK )

           CHARACTER    NORM

           INTEGER      LDA, M, N

           DOUBLE       PRECISION WORK( * )

           COMPLEX*16   A( LDA, * )

PURPOSE

       ZLANGE  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 matrix A.

DESCRIPTION

        ZLANGE returns the value
           ZLANGE = ( 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 ZLANGE as described
                above.

        M       (input) INTEGER
                The number of rows of the matrix A.  M >= 0.  When M = 0,
                ZLANGE is set to zero.

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

        A       (input) COMPLEX*16 array, dimension (LDA,N)
                The m by n matrix A.

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

        WORK    (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
                where LWORK >= M when NORM = 'I'; otherwise, WORK is not
                referenced.

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