OpenMD::RealSymmetricTridiagonal< Real > Class Template Reference

Computes eigenvalues and eigenvectors of a real (non-complex) symmetric tridiagonal matrix by the QL method. More...

#include <RealSymmetricTridiagonal.hpp>

Public Member Functions
	RealSymmetricTridiagonal (const DynamicVector< Real > &diagonals, const DynamicVector< Real > &subdiagonals)
	Construct the eigenvalue decomposition.
void	getEigenvectors (DynamicRectMatrix< Real > &V_)
	Return the eigenvector matrix.
void	getEigenvalues (DynamicVector< Real > &d_)
	Return the real parts of the eigenvalues.

Detailed Description

template<typename Real>
class OpenMD::RealSymmetricTridiagonal< Real >

Computes eigenvalues and eigenvectors of a real (non-complex) symmetric tridiagonal matrix by the QL method.

Definition at line 66 of file RealSymmetricTridiagonal.hpp.

Constructor & Destructor Documentation

RealSymmetricTridiagonal()

template<typename Real >

OpenMD::RealSymmetricTridiagonal< Real >::RealSymmetricTridiagonal ( const DynamicVector< Real > & diagonals, const DynamicVector< Real > & subdiagonals )

inline

Construct the eigenvalue decomposition.

Parameters

diagonals	the diagonal elements of the input matrix.
subdiagonals	the subdiagonal elements of the input matrix in its last n-1 positions. subdiagonals[0] is arbitrary.

Definition at line 199 of file RealSymmetricTridiagonal.hpp.

Member Function Documentation

getEigenvalues()

template<typename Real >

void OpenMD::RealSymmetricTridiagonal< Real >::getEigenvalues ( DynamicVector< Real > & d_ )

inline

Return the real parts of the eigenvalues.

Returns

real(diag(D))

Definition at line 224 of file RealSymmetricTridiagonal.hpp.

getEigenvectors()

template<typename Real >

void OpenMD::RealSymmetricTridiagonal< Real >::getEigenvectors ( DynamicRectMatrix< Real > & V_ )

inline

Return the eigenvector matrix.

Returns

V

Definition at line 216 of file RealSymmetricTridiagonal.hpp.

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

• math/RealSymmetricTridiagonal.hpp