Package org.apache.commons.math.analysis.solvers

Class RiddersSolver

java.lang.Object

org.apache.commons.math.ConvergingAlgorithmImpl

org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl

org.apache.commons.math.analysis.solvers.RiddersSolver

All Implemented Interfaces:

UnivariateRealSolver, ConvergingAlgorithm

public class RiddersSolver
extends UnivariateRealSolverImpl

Implements the Ridders' Method for root finding of real univariate functions. For reference, see C. Ridders, A new algorithm for computing a single root of a real continuous function , IEEE Transactions on Circuits and Systems, 26 (1979), 979 - 980.

The function should be continuous but not necessarily smooth.

Since:

1.2

Version:

$Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 févr. 2011) $

Field Summary

Fields inherited from class org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl

defaultFunctionValueAccuracy, f, functionValue, functionValueAccuracy, result, resultComputed

Fields inherited from class org.apache.commons.math.ConvergingAlgorithmImpl

absoluteAccuracy, defaultAbsoluteAccuracy, defaultMaximalIterationCount, defaultRelativeAccuracy, iterationCount, maximalIterationCount, relativeAccuracy

Constructor Summary

Constructors

Constructor	Description
RiddersSolver()	Deprecated. in 2.2
RiddersSolver(UnivariateRealFunction f)	Deprecated. as of 2.0 the function to solve is passed as an argument to the solve(UnivariateRealFunction, double, double) or UnivariateRealSolver.solve(UnivariateRealFunction, double, double, double) method.

Method Summary

Modifier and Type	Method	Description
double	solve(double min, double max)	Deprecated.
double	solve(double min, double max, double initial)	Deprecated.
double	solve(int maxEval, UnivariateRealFunction f, double min, double max)	Find a root in the given interval.
double	solve(int maxEval, UnivariateRealFunction f, double min, double max, double initial)	Find a root in the given interval with initial value.
double	solve(UnivariateRealFunction f, double min, double max)	Deprecated. in 2.2 (to be removed in 3.0).
double	solve(UnivariateRealFunction f, double min, double max, double initial)	Deprecated. in 2.2 (to be removed in 3.0).

Methods inherited from class org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl

checkResultComputed, clearResult, getFunctionValue, getFunctionValueAccuracy, getResult, isBracketing, isSequence, resetFunctionValueAccuracy, setFunctionValueAccuracy, setResult, setResult, verifyBracketing, verifyInterval, verifySequence

Methods inherited from class org.apache.commons.math.ConvergingAlgorithmImpl

getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, incrementIterationsCounter, resetAbsoluteAccuracy, resetIterationsCounter, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.apache.commons.math.ConvergingAlgorithm

getAbsoluteAccuracy, getIterationCount, getMaximalIterationCount, getRelativeAccuracy, resetAbsoluteAccuracy, resetMaximalIterationCount, resetRelativeAccuracy, setAbsoluteAccuracy, setMaximalIterationCount, setRelativeAccuracy

Constructor Detail

RiddersSolver

@Deprecated
public RiddersSolver(UnivariateRealFunction f)

Deprecated.

as of 2.0 the function to solve is passed as an argument to the solve(UnivariateRealFunction, double, double) or UnivariateRealSolver.solve(UnivariateRealFunction, double, double, double) method.

Construct a solver for the given function.

Parameters:

f - function to solve

RiddersSolver

@Deprecated
public RiddersSolver()

Deprecated.

in 2.2

Construct a solver.

Method Detail

solve

@Deprecated
public double solve(double min,
                    double max)
             throws ConvergenceException,
                    FunctionEvaluationException

Deprecated.

Solve for a zero root in the given interval.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Parameters:

min - the lower bound for the interval.

max - the upper bound for the interval.

Returns:

a value where the function is zero

Throws:

ConvergenceException - if the maximum iteration count is exceeded or the solver detects convergence problems otherwise.

FunctionEvaluationException - if an error occurs evaluating the function

solve

@Deprecated
public double solve(double min,
                    double max,
                    double initial)
             throws ConvergenceException,
                    FunctionEvaluationException

Deprecated.

Solve for a zero in the given interval, start at startValue.

A solver may require that the interval brackets a single zero root. Solvers that do require bracketing should be able to handle the case where one of the endpoints is itself a root.

Parameters:

min - the lower bound for the interval.

max - the upper bound for the interval.

initial - the start value to use

Returns:

a value where the function is zero

Throws:

ConvergenceException - if the maximum iteration count is exceeded or the solver detects convergence problems otherwise.

FunctionEvaluationException - if an error occurs evaluating the function

solve

public double solve(int maxEval,
                    UnivariateRealFunction f,
                    double min,
                    double max,
                    double initial)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Find a root in the given interval with initial value.

Requires bracketing condition.

Overrides:

solve in class UnivariateRealSolverImpl

Parameters:

f - the function to solve

min - the lower bound for the interval

max - the upper bound for the interval

initial - the start value to use

maxEval - Maximum number of evaluations.

Returns:

the point at which the function value is zero

Throws:

MaxIterationsExceededException - if the maximum iteration count is exceeded

FunctionEvaluationException - if an error occurs evaluating the function

java.lang.IllegalArgumentException - if any parameters are invalid

solve

@Deprecated
public double solve(UnivariateRealFunction f,
                    double min,
                    double max,
                    double initial)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Deprecated.

in 2.2 (to be removed in 3.0).

Find a root in the given interval with initial value.

Requires bracketing condition.

Parameters:

f - the function to solve

min - the lower bound for the interval

max - the upper bound for the interval

initial - the start value to use

Returns:

the point at which the function value is zero

Throws:

MaxIterationsExceededException - if the maximum iteration count is exceeded

FunctionEvaluationException - if an error occurs evaluating the function

java.lang.IllegalArgumentException - if any parameters are invalid

solve

public double solve(int maxEval,
                    UnivariateRealFunction f,
                    double min,
                    double max)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Find a root in the given interval.

Requires bracketing condition.

Overrides:

solve in class UnivariateRealSolverImpl

Parameters:

f - the function to solve

min - the lower bound for the interval

max - the upper bound for the interval

maxEval - Maximum number of evaluations.

Returns:

the point at which the function value is zero

Throws:

MaxIterationsExceededException - if the maximum iteration count is exceeded

FunctionEvaluationException - if an error occurs evaluating the function

java.lang.IllegalArgumentException - if any parameters are invalid

solve

@Deprecated
public double solve(UnivariateRealFunction f,
                    double min,
                    double max)
             throws MaxIterationsExceededException,
                    FunctionEvaluationException

Deprecated.

in 2.2 (to be removed in 3.0).

Find a root in the given interval.

Requires bracketing condition.

Parameters:

f - the function to solve

min - the lower bound for the interval

max - the upper bound for the interval

Returns:

the point at which the function value is zero

Throws:

MaxIterationsExceededException - if the maximum iteration count is exceeded

FunctionEvaluationException - if an error occurs evaluating the function

java.lang.IllegalArgumentException - if any parameters are invalid