clanhs(l) [redhat man page]

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 Hes-
       senberg 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  Hes-
       senberg 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)

clanhs.f(3)							      LAPACK							       clanhs.f(3)

NAME

       clanhs.f -

SYNOPSIS

   Functions/Subroutines
       REAL function clanhs (NORM, N, A, LDA, WORK)
	   CLANHS 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
   REAL function clanhs (characterNORM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)
       CLANHS 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:

	    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.

       Returns:
	   CLANHS

	       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 consistent matrix norm.

       Parameters:
	   NORM

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

	   N

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

	   A

		     A is 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

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

	   WORK

		     WORK is REAL 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

       Definition at line 110 of file clanhs.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       clanhs.f(3)