library: libMatrix
#include "TMatrixDSymEigen.h"

TMatrixDSymEigen

class description - header file - source file
viewCVS header - viewCVS source

class TMatrixDSymEigen

Inheritance Inherited Members Includes Libraries

Function Members (Methods)

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public:

	TMatrixDSymEigen()
	TMatrixDSymEigen(const TMatrixDSym& a)
	TMatrixDSymEigen(const TMatrixDSymEigen& another)
virtual	~TMatrixDSymEigen()
static TClass*	Class()
const TVectorD&	GetEigenValues() const
const TMatrixD&	GetEigenVectors() const
virtual TClass*	IsA() const
TMatrixDSymEigen&	operator=(const TMatrixDSymEigen& source)
virtual void	ShowMembers(TMemberInspector& insp, char* parent)
virtual void	Streamer(TBuffer& b)
void	StreamerNVirtual(TBuffer& b)

protected:

static void	MakeEigenVectors(TMatrixD& v, TVectorD& d, TVectorD& e)
static void	MakeTridiagonal(TMatrixD& v, TVectorD& d, TVectorD& e)

Data Members

public:

enum {	kWorkMax
};

protected:

TMatrixD	fEigenVectors	Eigen-vectors of matrix
TVectorD	fEigenValues	Eigen-values

Class Description

                                                                      
 TMatrixDSymEigen                                                     
                                                                      
 Eigenvalues and eigenvectors of a real symmetric matrix.             
                                                                      
 If A is symmetric, then A = V*D*V' where the eigenvalue matrix D is  
 diagonal and the eigenvector matrix V is orthogonal. That is, the    
 diagonal values of D are the eigenvalues, and V*V' = I, where I is   
 the identity matrix.  The columns of V represent the eigenvectors in 
 the sense that A*V = V*D.

TMatrixDSymEigen(const TMatrixDSym &a)

 Constructor for eigen-problem of symmetric matrix A .

TMatrixDSymEigen(const TMatrixDSymEigen &another)

 Copy constructor

void MakeTridiagonal(TMatrixD &v,TVectorD &d,TVectorD &e)

 This is derived from the Algol procedures tred2 by Bowdler, Martin, Reinsch, and
 Wilkinson, Handbook for Auto. Comp., Vol.ii-Linear Algebra, and the corresponding
 Fortran subroutine in EISPACK.

void MakeEigenVectors(TMatrixD &v,TVectorD &d,TVectorD &e)

 Symmetric tridiagonal QL algorithm.
 This is derived from the Algol procedures tql2, by Bowdler, Martin, Reinsch, and
 Wilkinson, Handbook for Auto. Comp., Vol.ii-Linear Algebra, and the corresponding
 Fortran subroutine in EISPACK.

TMatrixDSymEigen & operator=(const TMatrixDSymEigen &source)

 Assignment operator

TMatrixDSymEigen()

{}

virtual ~TMatrixDSymEigen()

{}

const TMatrixD & GetEigenVectors()

{ return fEigenVectors; }

Last update: root/matrix:$Name: $:$Id: TMatrixDSymEigen.cxx,v 1.12 2006/06/02 05:11:20 brun Exp $
Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *

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