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.

Definition at line 33 of file TMatrixDSymEigen.h.

Public Types
enum	{ kWorkMax = 100 }

Public Member Functions
	TMatrixDSymEigen ()

	TMatrixDSymEigen (const TMatrixDSym &a)
	Constructor for eigen-problem of symmetric matrix A . More...

	TMatrixDSymEigen (const TMatrixDSymEigen &another)
	Copy constructor. More...

virtual	~TMatrixDSymEigen ()

const TVectorD &	GetEigenValues () const

const TMatrixD &	GetEigenVectors () const

TMatrixDSymEigen &	operator= (const TMatrixDSymEigen &source)
	Assignment operator. More...

Static Protected Member Functions
static void	MakeEigenVectors (TMatrixD &v, TVectorD &d, TVectorD &e)
	Symmetric tridiagonal QL algorithm. More...

static 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. More...

Protected Attributes
TVectorD	fEigenValues

TMatrixD	fEigenVectors

#include <TMatrixDSymEigen.h>

Member Enumeration Documentation

anonymous enum

Enumerator
kWorkMax

Definition at line 45 of file TMatrixDSymEigen.h.

Constructor & Destructor Documentation

TMatrixDSymEigen::TMatrixDSymEigen ( )

inline

Definition at line 47 of file TMatrixDSymEigen.h.

TMatrixDSymEigen::TMatrixDSymEigen ( const TMatrixDSym & a )

Constructor for eigen-problem of symmetric matrix A .

Definition at line 34 of file TMatrixDSymEigen.cxx.

TMatrixDSymEigen::TMatrixDSymEigen ( const TMatrixDSymEigen & another )

Copy constructor.

Definition at line 61 of file TMatrixDSymEigen.cxx.

virtual TMatrixDSymEigen::~TMatrixDSymEigen ( )

inlinevirtual

Definition at line 50 of file TMatrixDSymEigen.h.

Member Function Documentation

const TVectorD& TMatrixDSymEigen::GetEigenValues ( ) const

inline

Definition at line 60 of file TMatrixDSymEigen.h.

const TMatrixD& TMatrixDSymEigen::GetEigenVectors ( ) const

inline

Definition at line 59 of file TMatrixDSymEigen.h.

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

staticprotected

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.

Definition at line 201 of file TMatrixDSymEigen.cxx.

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

staticprotected

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.

Definition at line 71 of file TMatrixDSymEigen.cxx.

TMatrixDSymEigen & TMatrixDSymEigen::operator= ( const TMatrixDSymEigen & source )

Assignment operator.

Definition at line 328 of file TMatrixDSymEigen.cxx.

Member Data Documentation

TVectorD TMatrixDSymEigen::fEigenValues

protected

Definition at line 41 of file TMatrixDSymEigen.h.

TMatrixD TMatrixDSymEigen::fEigenVectors

protected

Definition at line 40 of file TMatrixDSymEigen.h.

The documentation for this class was generated from the following files:

math/matrix/inc/TMatrixDSymEigen.h
math/matrix/src/TMatrixDSymEigen.cxx

Public Types

Public Member Functions

Static Protected Member Functions

Protected Attributes

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation