table of contents
clange.f(3) | LAPACK | clange.f(3) |
NAME¶
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 (character NORM, integer M, integer N, complex, dimension( lda, * ) A, integer LDA, 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
Specifies the value to be returned in CLANGE as described
above.
M
M is INTEGER
The number of rows of the matrix A. M >= 0. When M = 0,
CLANGE is set to zero.
N
N is INTEGER
The number of columns of the matrix A. N >= 0. When N = 0,
CLANGE is set to zero.
A
A is COMPLEX array, dimension (LDA,N)
The m by n matrix A.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(M,1).
WORK
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:
December 2016
Definition at line 117 of file clange.f.
Author¶
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