#include <jama_eig.h>

Public Member Functions
	~Eigenvalue ()

	Eigenvalue (float A[3][3])
	Check for symmetry, then construct the eigenvalue decomposition. More...

void	getV (float V_[3][3])
	Return the eigenvector matrix. More...

void	getRealEigenvalues (float d_[3])
	Return the real parts of the eigenvalues. More...

void	getImagEigenvalues (float e_[3])
	Return the imaginary parts of the eigenvalues in parameter e_. More...

void	getD (float D[3][3])
	Computes the block diagonal eigenvalue matrix. More...

Private Member Functions
void	tred2 ()

void	tql2 ()

void	orthes ()

void	cdiv (float xr, float xi, float yr, float yi)

void	hqr2 ()

Private Attributes
int	n {}
	Row and column dimension (square matrix). More...

int	issymmetric {}

float	d [3] {}

float	e [3] {}

float	V [3][3] {}

float	H [3][3] {}

float	ort [3] {}

float	cdivr {}

float	cdivi {}

Detailed Description

Definition at line 16 of file jama_eig.h.

Constructor & Destructor Documentation

JAMMA::Eigenvalue::~Eigenvalue ( )

inline

Definition at line 830 of file jama_eig.h.

JAMMA::Eigenvalue::Eigenvalue ( float A[3][3] )

inline

Check for symmetry, then construct the eigenvalue decomposition.

Parameters

A	Square real (non-complex) matrix

Definition at line 837 of file jama_eig.h.

Member Function Documentation

void JAMMA::Eigenvalue::cdiv	(	float	xr,
		float	xi,
		float	yr,
		float	yi
	)

inlineprivate

Definition at line 364 of file jama_eig.h.

void JAMMA::Eigenvalue::getD ( float D[3][3] )

inline

Computes the block diagonal eigenvalue matrix.

If the original matrix A is not symmetric, then the eigenvalue 
matrix D is block diagonal with the real eigenvalues in 1-by-1 
blocks and any complex eigenvalues,
a + i*b, in 2-by-2 blocks, [a, b; -b, a].  That is, if the complex
eigenvalues look like

          u + iv     .        .          .      .    .
            .      u - iv     .          .      .    .
            .        .      a + ib       .      .    .
            .        .        .        a - ib   .    .
            .        .        .          .      x    .
            .        .        .          .      .    y

then D looks like

            u        v        .          .      .    .
           -v        u        .          .      .    . 
            .        .        a          b      .    .
            .        .       -b          a      .    .
            .        .        .          .      x    .
            .        .        .          .      .    y

This keeps V a real matrix in both symmetric and non-symmetric cases, and A*V = V*D.

Parameters

D,:	upon return, the matrix is filled with the block diagonal eigenvalue matrix.

Definition at line 948 of file jama_eig.h.

void JAMMA::Eigenvalue::getImagEigenvalues ( float e_[3] )

inline

Return the imaginary parts of the eigenvalues

in parameter e_.

e_: new matrix with imaginary parts of the eigenvalues.

Definition at line 908 of file jama_eig.h.

void JAMMA::Eigenvalue::getRealEigenvalues ( float d_[3] )

inline

Return the real parts of the eigenvalues.

Returns: real(diag(D))

Definition at line 897 of file jama_eig.h.

void JAMMA::Eigenvalue::getV ( float V_[3][3] )

inline

Return the eigenvector matrix.

Returns: V

Definition at line 885 of file jama_eig.h.

void JAMMA::Eigenvalue::hqr2 ( )

inlineprivate

Definition at line 382 of file jama_eig.h.

void JAMMA::Eigenvalue::orthes ( )

inlineprivate

Definition at line 269 of file jama_eig.h.

void JAMMA::Eigenvalue::tql2 ( )

inlineprivate

Definition at line 146 of file jama_eig.h.

void JAMMA::Eigenvalue::tred2 ( )

inlineprivate

Definition at line 29 of file jama_eig.h.

Member Data Documentation

float JAMMA::Eigenvalue::cdivi {}

private

Definition at line 363 of file jama_eig.h.

float JAMMA::Eigenvalue::cdivr {}

private

Definition at line 363 of file jama_eig.h.

float JAMMA::Eigenvalue::d[3] {}

private

Definition at line 23 of file jama_eig.h.

float JAMMA::Eigenvalue::e[3] {}

private

Definition at line 24 of file jama_eig.h.

float JAMMA::Eigenvalue::H[3][3] {}

private

Definition at line 26 of file jama_eig.h.

int JAMMA::Eigenvalue::issymmetric {}

private

Definition at line 22 of file jama_eig.h.

int JAMMA::Eigenvalue::n {}

private

Row and column dimension (square matrix).

Definition at line 21 of file jama_eig.h.

float JAMMA::Eigenvalue::ort[3] {}

private

Definition at line 27 of file jama_eig.h.

float JAMMA::Eigenvalue::V[3][3] {}

private

Definition at line 25 of file jama_eig.h.

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

/afs/desy.de/user/d/dudarboh/analysis/iLCSoft/MarlinReco/Analysis/EventShapes/include/jama_eig.h

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation