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clangt.f(3) LAPACK clangt.f(3)
NAME
clangt.f -
SYNOPSIS
Functions/Subroutines
REAL function clangt (NORM, N, DL, D, DU)
CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general
tridiagonal matrix.
Function/Subroutine Documentation
REAL function clangt (characterNORM, integerN, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( * )DU)
CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general
tridiagonal matrix.
Purpose:
CLANGT 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 tridiagonal matrix A.
Returns:
CLANGT
CLANGT = ( 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 CLANGT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANGT is
set to zero.
DL
DL is COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal elements of A.
D
D is COMPLEX array, dimension (N)
The diagonal elements of A.
DU
DU is COMPLEX array, dimension (N-1)
The (n-1) super-diagonal elements of A.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 107 of file clangt.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 clangt.f(3)