library: libMatrix #include "TMatrixDSymEigen.h" |
TMatrixDSymEigen
class description - source file - inheritance tree (.pdf)
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)
protected:
TMatrixD fEigenVectors Eigen-vectors of matrix
TVectorD fEigenValues Eigen-values
public:
static const enum TMatrixDSymEigen:: kWorkMax
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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