org.hipparchus.optim.nonlinear.vector.leastsquares

Class GaussNewtonOptimizer

java.lang.Object

org.hipparchus.optim.nonlinear.vector.leastsquares.GaussNewtonOptimizer

All Implemented Interfaces:

LeastSquaresOptimizer

public class GaussNewtonOptimizer
extends Object
implements LeastSquaresOptimizer

Gauss-Newton least-squares solver.

This class solve a least-square problem by solving the normal equations of the linearized problem at each iteration. Either LU decomposition or Cholesky decomposition can be used to solve the normal equations, or QR decomposition or SVD decomposition can be used to solve the linear system. LU decomposition is faster but QR decomposition is more robust for difficult problems, and SVD can compute a solution for rank-deficient problems.

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	GaussNewtonOptimizer.Decomposition The decomposition algorithm to use to solve the normal equations.

Nested classes/interfaces inherited from interface org.hipparchus.optim.nonlinear.vector.leastsquares.LeastSquaresOptimizer

LeastSquaresOptimizer.Optimum

Constructor Summary

Constructors

Constructor and Description
GaussNewtonOptimizer() Creates a Gauss Newton optimizer.
GaussNewtonOptimizer(GaussNewtonOptimizer.Decomposition decomposition) Create a Gauss Newton optimizer that uses the given decomposition algorithm to solve the normal equations.

Method Summary

Modifier and Type	Method and Description
GaussNewtonOptimizer.Decomposition	getDecomposition() Get the matrix decomposition algorithm used to solve the normal equations.
LeastSquaresOptimizer.Optimum	optimize(LeastSquaresProblem lsp) Solve the non-linear least squares problem.
String	toString()
GaussNewtonOptimizer	withDecomposition(GaussNewtonOptimizer.Decomposition newDecomposition) Configure the decomposition algorithm.

Methods inherited from class java.lang.Object

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

Constructor Detail

GaussNewtonOptimizer

public GaussNewtonOptimizer()

Creates a Gauss Newton optimizer.

The default for the algorithm is to solve the normal equations using QR decomposition.

GaussNewtonOptimizer

public GaussNewtonOptimizer(GaussNewtonOptimizer.Decomposition decomposition)

Create a Gauss Newton optimizer that uses the given decomposition algorithm to solve the normal equations.

Parameters:

decomposition - the GaussNewtonOptimizer.Decomposition algorithm.

Method Detail

getDecomposition

public GaussNewtonOptimizer.Decomposition getDecomposition()

Get the matrix decomposition algorithm used to solve the normal equations.

Returns:

the matrix GaussNewtonOptimizer.Decomposition algoritm.

withDecomposition

public GaussNewtonOptimizer withDecomposition(GaussNewtonOptimizer.Decomposition newDecomposition)

Configure the decomposition algorithm.

Parameters:

newDecomposition - the GaussNewtonOptimizer.Decomposition algorithm to use.

Returns:

a new instance.

optimize

public LeastSquaresOptimizer.Optimum optimize(LeastSquaresProblem lsp)

Solve the non-linear least squares problem.

Specified by:

optimize in interface LeastSquaresOptimizer

Parameters:

lsp - the problem definition, including model function and convergence criteria.

Returns:

The optimum.

toString

public String toString()

Overrides:

toString in class Object