clanht.f man page

clanht.f —

Synopsis

Functions/Subroutines

REAL function clanht (NORM, N, D, E)
CLANHT returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix.

Function/Subroutine Documentation

REAL function clanht (characterNORM, integerN, real, dimension( * )D, complex, dimension( * )E)

CLANHT returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix.

Purpose:

CLANHT  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 Hermitian tridiagonal matrix A.

Returns:

CLANHT

   CLANHT = ( 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 CLANHT as described
above.

N

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

D

D is REAL array, dimension (N)
The diagonal elements of A.

E

E is COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal or 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 102 of file clanht.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

clanht(3) is an alias of clanht.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK