NAME

       zlanhs.f -

SYNOPSIS

   Functions/Subroutines
       double precision function zlanhs (NORM, N, A, LDA, WORK)
           ZLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest
           absolute value of any element of an upper Hessenberg matrix.

Function/Subroutine Documentation

   double precision function zlanhs (character NORM, integer N, complex*16, dimension( lda, * )
       A, integer LDA, double precision, dimension( * ) WORK)
       ZLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest
       absolute value of any element of an upper Hessenberg matrix.

       Purpose:

            ZLANHS  returns the value of the one norm,  or the Frobenius norm, or
            the  infinity norm,  or the  element of  largest absolute value  of a
            Hessenberg matrix A.

       Returns:
           ZLANHS

               ZLANHS = ( 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.

       Parameters:
           NORM

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

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.  When N = 0, ZLANHS is
                     set to zero.

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     The n by n upper Hessenberg matrix A; the part of A below the
                     first sub-diagonal is not referenced.

           LDA

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

           WORK

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

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

Author

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