Package org.ejml.dense.row.decomposition.eig.watched

Class WatchedDoubleStepQREigen_FDRM

java.lang.Object

org.ejml.dense.row.decomposition.eig.watched.WatchedDoubleStepQREigen_FDRM

public class WatchedDoubleStepQREigen_FDRM
extends java.lang.Object

The float step implicit Eigenvalue decomposition algorithm is fairly complicated and needs to be designed so that it can handle several special cases. To aid in development and debugging this class was created. It allows individual components to be tested and to print out their results. This shows how each step is performed.

Do not use this class to compute the eigenvalues since it is much slower than a non-debug implementation.

Field Summary

Fields

Modifier and Type	Field	Description
boolean	createR
org.ejml.data.FMatrixRMaj	Q

Constructor Summary

Constructors

Constructor	Description
WatchedDoubleStepQREigen_FDRM()

Method Summary

Modifier and Type	Method	Description
void	addComputedEigen2x2(int x1, int x2)
void	addEigenAt(int x1)
boolean	bulgeDoubleStepQn(int i)
boolean	bulgeDoubleStepQn(int i, float a11, float a21, float a31, float threshold, boolean set)
boolean	bulgeSingleStepQn(int i)
boolean	bulgeSingleStepQn(int i, float a11, float a21, float threshold, boolean set)
boolean	createBulgeSingleStep(int x1, float eigenvalue)
void	eigen2by2_scale(float a11, float a12, float a21, float a22)
void	exceptionalShift(int x1, int x2)	Perform a shift in a random direction that is of the same magnitude as the elements in the matrix.
org.ejml.data.Complex_F32[]	getEigenvalues()
int	getNumberOfEigenvalues()
void	implicitDoubleStep(int x1, int x2)	Performs an implicit float step using the values contained in the lower right hand side of the submatrix for the estimated eigenvector values.
void	incrementSteps()
boolean	isReal2x2(int x1, int x2)
boolean	isZero(int x1, int x2)
void	performImplicitDoubleStep(int x1, int x2, float real, float img)	Performs an implicit float step given the set of two imaginary eigenvalues provided.
void	performImplicitSingleStep(int x1, int x2, float eigenvalue)
void	printSteps()
void	setChecks(boolean hessenberg, boolean orthogonal, boolean uncountable)
void	setQ(org.ejml.data.FMatrixRMaj Q)
void	setup(org.ejml.data.FMatrixRMaj A)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

createR

public boolean createR

Q

public org.ejml.data.FMatrixRMaj Q

Constructor Detail

WatchedDoubleStepQREigen_FDRM

public WatchedDoubleStepQREigen_FDRM()

Method Detail

incrementSteps

public void incrementSteps()

setQ

public void setQ(org.ejml.data.FMatrixRMaj Q)

setChecks

public void setChecks(boolean hessenberg,
                      boolean orthogonal,
                      boolean uncountable)

isZero

public boolean isZero(int x1,
                      int x2)

setup

public void setup(org.ejml.data.FMatrixRMaj A)

exceptionalShift

public void exceptionalShift(int x1,
                             int x2)

Perform a shift in a random direction that is of the same magnitude as the elements in the matrix.

implicitDoubleStep

public void implicitDoubleStep(int x1,
                               int x2)

Performs an implicit float step using the values contained in the lower right hand side of the submatrix for the estimated eigenvector values.

Parameters:

x1 -

x2 -

performImplicitDoubleStep

public void performImplicitDoubleStep(int x1,
                                      int x2,
                                      float real,
                                      float img)

Performs an implicit float step given the set of two imaginary eigenvalues provided. Since one eigenvalue is the complex conjugate of the other only one set of real and imaginary numbers is needed.

Parameters:

x1 - upper index of submatrix.

x2 - lower index of submatrix.

real - Real component of each of the eigenvalues.

img - Imaginary component of one of the eigenvalues.

performImplicitSingleStep

public void performImplicitSingleStep(int x1,
                                      int x2,
                                      float eigenvalue)

createBulgeSingleStep

public boolean createBulgeSingleStep(int x1,
                                     float eigenvalue)

bulgeDoubleStepQn

public boolean bulgeDoubleStepQn(int i)

bulgeDoubleStepQn

public boolean bulgeDoubleStepQn(int i,
                                 float a11,
                                 float a21,
                                 float a31,
                                 float threshold,
                                 boolean set)

bulgeSingleStepQn

public boolean bulgeSingleStepQn(int i)

bulgeSingleStepQn

public boolean bulgeSingleStepQn(int i,
                                 float a11,
                                 float a21,
                                 float threshold,
                                 boolean set)

eigen2by2_scale

public void eigen2by2_scale(float a11,
                            float a12,
                            float a21,
                            float a22)

getNumberOfEigenvalues

public int getNumberOfEigenvalues()

getEigenvalues

public org.ejml.data.Complex_F32[] getEigenvalues()

addComputedEigen2x2

public void addComputedEigen2x2(int x1,
                                int x2)

isReal2x2

public boolean isReal2x2(int x1,
                         int x2)

addEigenAt

public void addEigenAt(int x1)

printSteps

public void printSteps()