org.apache.commons.math.linear
Class EigenDecompositionImpl.Solver

java.lang.Object
  org.apache.commons.math.linear.EigenDecompositionImpl.Solver

All Implemented Interfaces:

DecompositionSolver

Enclosing class:

EigenDecompositionImpl

private static class EigenDecompositionImpl.Solver
extends java.lang.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

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

Method Summary

RealMatrix	getInverse() Get the inverse of the decomposed matrix.
boolean	isNonSingular() Check if the decomposed matrix is non-singular.
double[]	solve(double[] b) Solve the linear equation A × X = B for symmetric matrices A.
RealMatrix	solve(RealMatrix b) Solve the linear equation A × X = B for symmetric matrices A.
RealVector	solve(RealVector b) Solve 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

EigenDecompositionImpl.Solver

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

Build a solver from decomposed matrix.

Parameters:

realEigenvalues - real parts of the eigenvalues

imagEigenvalues - imaginary parts of the eigenvalues

eigenvectors - eigenvectors

Method Detail

solve

public double[] solve(double[] b)
               throws java.lang.IllegalArgumentException,
                      InvalidMatrixException

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

This method only find 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:

java.lang.IllegalArgumentException - if matrices dimensions don't match

InvalidMatrixException - if decomposed matrix is singular

solve

public RealVector solve(RealVector b)
                 throws java.lang.IllegalArgumentException,
                        InvalidMatrixException

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

This method only find 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:

java.lang.IllegalArgumentException - if matrices dimensions don't match

InvalidMatrixException - if decomposed matrix is singular

solve

public RealMatrix solve(RealMatrix b)
                 throws java.lang.IllegalArgumentException,
                        InvalidMatrixException

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

This method only find 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 matrix X that minimizes the two norm of A × X - B

Throws:

java.lang.IllegalArgumentException - if matrices dimensions don't match

InvalidMatrixException - if decomposed matrix is singular

isNonSingular

public boolean isNonSingular()

Check if 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()
                      throws InvalidMatrixException

Get the inverse of the decomposed matrix.

Specified by:

getInverse in interface DecompositionSolver

Returns:

inverse matrix

Throws:

InvalidMatrixException - if decomposed matrix is singular