Class DynamicEvD<N extends Comparable<N>>

java.lang.Object

org.ojalgo.matrix.decomposition.AbstractDecomposition<N, DecompositionStore<N>>

org.ojalgo.matrix.decomposition.DenseEigenvalue<N>

org.ojalgo.matrix.decomposition.DynamicEvD<N>

All Implemented Interfaces:

Eigenvalue<N>, MatrixDecomposition<N>, MatrixDecomposition.Determinant<N>, MatrixDecomposition.Hermitian<N>, MatrixDecomposition.Ordered<N>, MatrixDecomposition.Values<N>, Provider2D, Provider2D.Determinant<N>, Provider2D.Eigenpairs, DeterminantTask<N>, MatrixTask<N>, Structure1D, Structure2D

Direct Known Subclasses:

DynamicEvD.R064

abstract class DynamicEvD<N extends Comparable<N>>
extends DenseEigenvalue<N>

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
(package private) static final class	DynamicEvD.R064

Nested classes/interfaces inherited from interface Eigenvalue

Eigenvalue.Eigenpair, Eigenvalue.Factory<N>, Eigenvalue.Generalisation, Eigenvalue.Generalised<N>, Eigenvalue.Spectral<N>

Nested classes/interfaces inherited from interface MatrixDecomposition

MatrixDecomposition.Determinant<N>, MatrixDecomposition.EconomySize<N>, MatrixDecomposition.Factory<D>, MatrixDecomposition.Hermitian<N>, MatrixDecomposition.Ordered<N>, MatrixDecomposition.Pivoting<N>, MatrixDecomposition.RankRevealing<N>, MatrixDecomposition.Solver<N>, MatrixDecomposition.Updatable<N>, MatrixDecomposition.Values<N>

Nested classes/interfaces inherited from interface Provider2D

Provider2D.Condition, Provider2D.Determinant<N>, Provider2D.Eigenpairs, Provider2D.Hermitian, Provider2D.Inverse<M>, Provider2D.Rank, Provider2D.Solution<M>, Provider2D.Symmetric, Provider2D.Trace<N>

Nested classes/interfaces inherited from interface Structure1D

Structure1D.BasicMapper<T>, Structure1D.IndexMapper<T>, Structure1D.IntIndex, Structure1D.LongIndex, Structure1D.LoopCallback

Nested classes/interfaces inherited from interface Structure2D

Structure2D.IntRowColumn, Structure2D.Logical<S,B>, Structure2D.LongRowColumn, Structure2D.ReducibleTo1D<R>, Structure2D.Reshapable, Structure2D.RowColumnKey<R,C>, Structure2D.RowColumnMapper<R,C>

Field Summary

Fields

Modifier and Type	Field	Description
private final DenseEigenvalue<N>	myGeneralDelegate
private boolean	myHermitian
private final DenseEigenvalue<N>	myHermitianDelegate

Fields inherited from interface Eigenvalue

C128, DESCENDING_NORM, H256, Q128, R064, R128

Fields inherited from interface MatrixDecomposition

TYPICAL

Constructor Summary

Constructors

Modifier	Constructor	Description
private	DynamicEvD(PhysicalStore.Factory<N, ? extends DecompositionStore<N>> factory)
protected	DynamicEvD(PhysicalStore.Factory<N, ? extends DecompositionStore<N>> factory, DenseEigenvalue<N> hermitianDelegate, DenseEigenvalue<N> generalDelegate)

Method Summary

Modifier and Type	Method	Description
boolean	checkAndDecompose(MatrixStore<N> matrix)	Absolutely must check if the matrix is hermitian or not.
protected boolean	doDecompose(Access2D.Collectable<N, ? super TransformableRegion<N>> matrix, boolean valuesOnly)
N	getDeterminant()	A matrix' determinant is the product of its eigenvalues.
ComplexNumber	getTrace()	A matrix' trace is the sum of the diagonal elements.
boolean	isHermitian()	If [A] is hermitian then [V][D][V]-1 becomes [Q][D][Q]H...
boolean	isOrdered()	The eigenvalues in D (and the eigenvectors in V) are not necessarily ordered.
protected MatrixStore<N>	makeD()
protected Array1D<ComplexNumber>	makeEigenvalues()
protected MatrixStore<N>	makeV()
void	reset()	Delete computed results, and resets attributes to default values

Methods inherited from class DenseEigenvalue

calculateDeterminant, computeValuesOnly, decompose, getColDim, getD, getEigenvalues, getMaxDim, getMinDim, getRowDim, getV, isValuesOnly, setD, setEigenvalues, setV

Methods inherited from class AbstractDecomposition

aggregator, applyPivotOrder, applyReverseOrder, checkSolvability, collect, computed, copyColumn, copyRow, function, getDimensionalEpsilon, isAspectRatioNormal, isComputed, isSolvable, makeArray, makeDiagonal, makeEye, makeHouseholder, makeIdentity, makeRotation, makeRotation, makeZero, makeZero, scalar, wrap

Methods inherited from class Object

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

Methods inherited from interface Eigenvalue

getEigenpair, getEigenpairs, getEigenvalues, getEigenvectors, reconstruct

Methods inherited from interface MatrixDecomposition

isComputed

Methods inherited from interface MatrixDecomposition.Determinant

toDeterminantProvider

Methods inherited from interface Structure2D

count, countColumns, countRows, firstInColumn, firstInRow, isEmpty, isFat, isScalar, isSquare, isTall, isVector, limitOfColumn, limitOfRow, size

Field Details

myGeneralDelegate

private final DenseEigenvalue<N extends Comparable<N>> myGeneralDelegate

myHermitian

private boolean myHermitian

myHermitianDelegate

private final DenseEigenvalue<N extends Comparable<N>> myHermitianDelegate

Constructor Details

DynamicEvD

private DynamicEvD(PhysicalStore.Factory<N, ? extends DecompositionStore<N>> factory)

DynamicEvD

protected DynamicEvD(PhysicalStore.Factory<N, ? extends DecompositionStore<N>> factory,
 DenseEigenvalue<N> hermitianDelegate,
 DenseEigenvalue<N> generalDelegate)

Method Details

checkAndDecompose

public boolean checkAndDecompose(MatrixStore<N> matrix)

Description copied from interface: MatrixDecomposition.Hermitian

Absolutely must check if the matrix is hermitian or not. Then, depending on the result different paths can be chosen - compute or not / choose different algorithms...

Parameters:

matrix - A matrix to check and then (maybe) decompose

Returns:

true if the hermitian check passed and decomposition succeeded; false if not

getDeterminant

public N getDeterminant()

Description copied from interface: MatrixDecomposition.Determinant

A matrix' determinant is the product of its eigenvalues.

Returns:

The matrix' determinant

getTrace

public ComplexNumber getTrace()

Description copied from interface: Eigenvalue

A matrix' trace is the sum of the diagonal elements. It is also the sum of the eigenvalues. This method should return the sum of the eigenvalues.

Returns:

The matrix' trace

isHermitian

public boolean isHermitian()

Description copied from interface: Eigenvalue

If [A] is hermitian then [V][D][V]^-1 becomes [Q][D][Q]^H...

isOrdered

public boolean isOrdered()

Description copied from interface: Eigenvalue

The eigenvalues in D (and the eigenvectors in V) are not necessarily ordered. This is a property of the algorithm/implementation, not the data.

Returns:

true if they are ordered

reset

public void reset()

Description copied from interface: MatrixDecomposition

Delete computed results, and resets attributes to default values

Specified by:

reset in interface MatrixDecomposition<N extends Comparable<N>>

Overrides:

reset in class DenseEigenvalue<N extends Comparable<N>>

doDecompose

protected boolean doDecompose(Access2D.Collectable<N, ? super TransformableRegion<N>> matrix,
 boolean valuesOnly)

Specified by:

doDecompose in class DenseEigenvalue<N extends Comparable<N>>

makeD

protected MatrixStore<N> makeD()

Specified by:

makeD in class DenseEigenvalue<N extends Comparable<N>>

makeEigenvalues

protected Array1D<ComplexNumber> makeEigenvalues()

Specified by:

makeEigenvalues in class DenseEigenvalue<N extends Comparable<N>>

makeV

protected MatrixStore<N> makeV()

Specified by:

makeV in class DenseEigenvalue<N extends Comparable<N>>