clanht.f: Clanht.f -

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

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

          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.

clanht.f (3)

SYNOPSIS

Functions/Subroutines

Function/Subroutine Documentation

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

Author