ROOT   Reference Guide
TMatrixDSymEigen Class Reference

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 TVectorDGetEigenValues () const

const TMatrixDGetEigenVectors () const

TMatrixDSymEigenoperator= (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>

## ◆ anonymous enum

 anonymous enum
Enumerator
kWorkMax

Definition at line 39 of file TMatrixDSymEigen.h.

## ◆ 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.

## ◆ 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.

## ◆ 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: