TMatrixDSymEigen Class Reference

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.

Definition at line 27 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

anonymous enum

Enumerator
kWorkMax

Definition at line 39 of file TMatrixDSymEigen.h.

Constructor & Destructor Documentation

TMatrixDSymEigen() [1/3]

TMatrixDSymEigen::TMatrixDSymEigen ( )

inline

Definition at line 41 of file TMatrixDSymEigen.h.

TMatrixDSymEigen() [2/3]

TMatrixDSymEigen::TMatrixDSymEigen

(

const TMatrixDSym &

a

)

Constructor for eigen-problem of symmetric matrix A .

Definition at line 34 of file TMatrixDSymEigen.cxx.

TMatrixDSymEigen() [3/3]

TMatrixDSymEigen::TMatrixDSymEigen

(

const TMatrixDSymEigen &

another

)

Copy constructor.

Definition at line 61 of file TMatrixDSymEigen.cxx.

~TMatrixDSymEigen()

virtual TMatrixDSymEigen::~TMatrixDSymEigen ( )

inlinevirtual

Definition at line 44 of file TMatrixDSymEigen.h.

Member Function Documentation

GetEigenValues()

const TVectorD& TMatrixDSymEigen::GetEigenValues ( ) const

inline

Definition at line 54 of file TMatrixDSymEigen.h.

GetEigenVectors()

const TMatrixD& TMatrixDSymEigen::GetEigenVectors ( ) const

inline

Definition at line 53 of file TMatrixDSymEigen.h.

MakeEigenVectors()

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.

MakeTridiagonal()

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.

operator=()

TMatrixDSymEigen & TMatrixDSymEigen::operator=

(

const TMatrixDSymEigen &

source

)

Assignment operator.

Definition at line 328 of file TMatrixDSymEigen.cxx.

Member Data Documentation

fEigenValues

TVectorD TMatrixDSymEigen::fEigenValues

protected

Definition at line 35 of file TMatrixDSymEigen.h.

fEigenVectors

TMatrixD TMatrixDSymEigen::fEigenVectors

protected

Definition at line 34 of file TMatrixDSymEigen.h.

Libraries for TMatrixDSymEigen:

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

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