org.apache.commons.math3.linear
Class EigenDecomposition.Solver

java.lang.Object
  org.apache.commons.math3.linear.EigenDecomposition.Solver

All Implemented Interfaces:

DecompositionSolver

Enclosing class:

EigenDecomposition

private static class EigenDecomposition.Solver
extends Object
implements DecompositionSolver

Specialized solver.

Field Summary

private ArrayRealVector[]	eigenvectors Eigenvectors.
private double[]	imagEigenvalues Imaginary part of the realEigenvalues.
private double[]	realEigenvalues Real part of the realEigenvalues.

Constructor Summary

private

EigenDecomposition.Solver(double[] realEigenvalues, double[] imagEigenvalues, ArrayRealVector[] eigenvectors) Builds a solver from decomposed matrix.

Method Summary

RealMatrix	getInverse() Get the inverse of the decomposed matrix.
boolean	isNonSingular() Checks whether the decomposed matrix is non-singular.
RealMatrix	solve(RealMatrix b) Solve the linear equation A × X = B for matrices A.
RealVector	solve(RealVector b) Solves the linear equation A × X = B for symmetric matrices A.

Methods inherited from class java.lang.Object

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

Field Detail

realEigenvalues

private double[] realEigenvalues

Real part of the realEigenvalues.

imagEigenvalues

private double[] imagEigenvalues

Imaginary part of the realEigenvalues.

eigenvectors

private final ArrayRealVector[] eigenvectors

Eigenvectors.

Constructor Detail

EigenDecomposition.Solver

private EigenDecomposition.Solver(double[] realEigenvalues,
                                  double[] imagEigenvalues,
                                  ArrayRealVector[] eigenvectors)

Builds a solver from decomposed matrix.

Parameters:

realEigenvalues - Real parts of the eigenvalues.

imagEigenvalues - Imaginary parts of the eigenvalues.

eigenvectors - Eigenvectors.

Method Detail

solve

public RealVector solve(RealVector b)

Solves the linear equation A × X = B for symmetric matrices A.

This method only finds exact linear solutions, i.e. solutions for which ||A × X - B|| is exactly 0.

Specified by:

solve in interface DecompositionSolver

Parameters:

b - Right-hand side of the equation A × X = B.

Returns:

a Vector X that minimizes the two norm of A × X - B.

Throws:

DimensionMismatchException - if the matrices dimensions do not match.

SingularMatrixException - if the decomposed matrix is singular.

solve

public RealMatrix solve(RealMatrix b)

Solve the linear equation A × X = B for matrices A.

The A matrix is implicit, it is provided by the underlying decomposition algorithm.

Specified by:

solve in interface DecompositionSolver

Parameters:

b - right-hand side of the equation A × X = B

Returns:

a matrix X that minimizes the two norm of A × X - B

isNonSingular

public boolean isNonSingular()

Checks whether the decomposed matrix is non-singular.

Specified by:

isNonSingular in interface DecompositionSolver

Returns:

true if the decomposed matrix is non-singular.

getInverse

public RealMatrix getInverse()

Get the inverse of the decomposed matrix.

Specified by:

getInverse in interface DecompositionSolver

Returns:

the inverse matrix.

Throws:

SingularMatrixException - if the decomposed matrix is singular.