clanhs.f(3) LAPACK clanhs.f(3)NAMEclanhs.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
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Version 3.4.2 Sat Nov 16 2013 clanhs.f(3)