library: libMatrix
#include "TMatrixDSymEigen.h"

TMatrixDSymEigen


class description - source file - inheritance tree (.pdf)

class TMatrixDSymEigen

Inheritance Chart:
TMatrixDSymEigen

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

Data Members


    protected:
TMatrixD fEigenVectors Eigen-vectors of matrix TVectorD fEigenValues Eigen-values public:
static const enum TMatrixDSymEigen:: kWorkMax

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)

TMatrixDSymEigen(const TMatrixDSymEigen &another)

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.



Inline Functions


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


Last update: root/matrix:$Name: $:$Id: TMatrixDSymEigen.cxx,v 1.9 2005/02/15 16:17:10 brun Exp $
Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *


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