clange.f (3) Linux Manual Page
clange.f –
Synopsis
Functions/Subroutines
REAL function clange (NORM, M, N, A, LDA, WORK)CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
Function/Subroutine Documentation
REAL function clange (characterNORM, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)
CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. Purpose:
CLANGE 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:
- CLANGE
CLANGE = ( 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
M
Specifies the value to be returned in CLANGE as described
above.M is INTEGER
N
The number of rows of the matrix A. M >= 0. When M = 0,
CLANGE is set to zero.N is INTEGER
A
The number of columns of the matrix A. N >= 0. When N = 0,
CLANGE is set to zero.A is COMPLEX array, dimension (LDA,N)
LDA
The m by n matrix A.LDA is INTEGER
WORK
The leading dimension of the array A. LDA >= max(M,1).WORK is REAL array, dimension (MAX(1,LWORK)),
where LWORK >= M 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 116 of file clange.f.