Package org.hipparchus.analysis.solvers

Class NewtonRaphsonSolver

java.lang.Object

org.hipparchus.analysis.solvers.BaseAbstractUnivariateSolver<UnivariateDifferentiableFunction>

org.hipparchus.analysis.solvers.AbstractUnivariateDifferentiableSolver

org.hipparchus.analysis.solvers.NewtonRaphsonSolver

All Implemented Interfaces:

BaseUnivariateSolver<UnivariateDifferentiableFunction>, UnivariateDifferentiableSolver

public class NewtonRaphsonSolver
extends AbstractUnivariateDifferentiableSolver

Implements Newton's Method for finding zeros of real univariate differentiable functions.

Constructor Summary

Constructors

Constructor	Description
NewtonRaphsonSolver()	Construct a solver.
NewtonRaphsonSolver(double absoluteAccuracy)	Construct a solver.

Method Summary

Modifier and Type	Method	Description
protected double	doSolve()	Method for implementing actual optimization algorithms in derived classes.
double	solve(int maxEval, UnivariateDifferentiableFunction f, double min, double max)	Find a zero near the midpoint of min and max.

Methods inherited from class org.hipparchus.analysis.solvers.AbstractUnivariateDifferentiableSolver

computeObjectiveValueAndDerivative, setup

Methods inherited from class org.hipparchus.analysis.solvers.BaseAbstractUnivariateSolver

computeObjectiveValue, getAbsoluteAccuracy, getEvaluations, getFunctionValueAccuracy, getMax, getMin, getRelativeAccuracy, getStartValue, incrementEvaluationCount, isBracketing, isSequence, solve, solve, verifyBracketing, verifyInterval, verifySequence

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.hipparchus.analysis.solvers.BaseUnivariateSolver

getAbsoluteAccuracy, getEvaluations, getFunctionValueAccuracy, getRelativeAccuracy, solve, solve

Constructor Details

NewtonRaphsonSolver

public NewtonRaphsonSolver()

Construct a solver.

NewtonRaphsonSolver

public NewtonRaphsonSolver(double absoluteAccuracy)

Construct a solver.

Parameters:

absoluteAccuracy - Absolute accuracy.

Method Details

solve

public double solve(int maxEval,
 UnivariateDifferentiableFunction f,
 double min,
 double max)
             throws MathIllegalStateException

Find a zero near the midpoint of min and max.

Specified by:

solve in interface BaseUnivariateSolver<UnivariateDifferentiableFunction>

Overrides:

solve in class BaseAbstractUnivariateSolver<UnivariateDifferentiableFunction>

Parameters:

f - Function to solve.

min - Lower bound for the interval.

max - Upper bound for the interval.

maxEval - Maximum number of evaluations.

Returns:

the value where the function is zero.

Throws:

MathIllegalStateException - if the maximum evaluation count is exceeded.

MathIllegalArgumentException - if min >= max.

doSolve

protected double doSolve()
                  throws MathIllegalStateException

Method for implementing actual optimization algorithms in derived classes.

Specified by:

doSolve in class BaseAbstractUnivariateSolver<UnivariateDifferentiableFunction>

Returns:

the root.

Throws:

MathIllegalStateException - if the maximal number of evaluations is exceeded.