fr.cnes.sirius.patrius.math.analysis.solver

Class NewtonRaphsonSolver

java.lang.Object

fr.cnes.sirius.patrius.math.analysis.solver.BaseAbstractUnivariateSolver<UnivariateDifferentiableFunction>

fr.cnes.sirius.patrius.math.analysis.solver.AbstractUnivariateDifferentiableSolver

fr.cnes.sirius.patrius.math.analysis.solver.NewtonRaphsonSolver

All Implemented Interfaces:

BaseUnivariateSolver<UnivariateDifferentiableFunction>, UnivariateDifferentiableSolver, Serializable

public class NewtonRaphsonSolver
extends AbstractUnivariateDifferentiableSolver

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

Since:

3.1

Version:

$Id: NewtonRaphsonSolver.java 18108 2017-10-04 06:45:27Z bignon $

See Also:

Serialized Form

Constructor Summary

Constructors

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

Method Summary

Modifier and Type	Method and 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 fr.cnes.sirius.patrius.math.analysis.solver.AbstractUnivariateDifferentiableSolver

computeObjectiveValueAndDerivative, setup

Methods inherited from class fr.cnes.sirius.patrius.math.analysis.solver.BaseAbstractUnivariateSolver

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

Methods inherited from class java.lang.Object

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

Methods inherited from interface fr.cnes.sirius.patrius.math.analysis.solver.BaseUnivariateSolver

getAbsoluteAccuracy, getEvaluations, getFunctionValueAccuracy, getMaxEvaluations, getRelativeAccuracy, solve, solve

Constructor Detail

NewtonRaphsonSolver

public NewtonRaphsonSolver()

Construct a solver.

NewtonRaphsonSolver

public NewtonRaphsonSolver(double absoluteAccuracy)

Construct a solver.

Parameters:

absoluteAccuracy - Absolute accuracy.

Method Detail

solve

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

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:

TooManyEvaluationsException - if the maximum evaluation count is exceeded.

NumberIsTooLargeException - if min >= max.

doSolve

protected double doSolve()

Method for implementing actual optimization algorithms in derived classes.

Specified by:

doSolve in class BaseAbstractUnivariateSolver<UnivariateDifferentiableFunction>

Returns:

the root.