ZLANGE(3)      LAPACK routine of NEC Numeric Library Collection      ZLANGE(3)



NAME
       ZLANGE

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



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.


       Returns:
           ZLANGE

               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)
                     NORM is CHARACTER*1
                     Specifies the value to be returned in ZLANGE as described
                     above.

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

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

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

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

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



LAPACK routine                  31 October 2017                      ZLANGE(3)