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RedHat 9 (Linux i386) - man page for clanhs (redhat section l)

CLANHS(l)					)					CLANHS(l)

NAME
       CLANHS - return 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

SYNOPSIS
       REAL FUNCTION CLANHS( NORM, N, A, LDA, WORK )

	   CHARACTER NORM

	   INTEGER   LDA, N

	   REAL      WORK( * )

	   COMPLEX   A( LDA, * )

PURPOSE
       CLANHS 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.

DESCRIPTION
       CLANHS returns the value

	  CLANHS = ( 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  matrix
       norm.

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

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

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

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

LAPACK version 3.0			   15 June 2000 				CLANHS(l)


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