## org.apache.commons.math.analysis.solvers
Class NewtonSolver

    java.lang.Object
      org.apache.commons.math.ConvergingAlgorithmImpl
          org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl
              org.apache.commons.math.analysis.solvers.NewtonSolver

All Implemented Interfaces:
  UnivariateRealSolver, ConvergingAlgorithm

    public class NewtonSolver

extends UnivariateRealSolverImpl

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

The function should be continuous but not necessarily smooth.

Version:
  $Revision: 811685 $ $Date: 2009-09-05 13:36:48 -0400 (Sat, 05 Sep 2009) $

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
`NewtonSolver()` Construct a solver.
`NewtonSolver(DifferentiableUnivariateRealFunction 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
`double` `solve(double min, double max)` Deprecated.
`double` `solve(double min, double max, double startValue)` Deprecated.
`double` `solve(UnivariateRealFunction f, double min, double max)` Find a zero near the midpoint of `min` and `max`.
`double` `solve(UnivariateRealFunction f, double min, double max, double startValue)` Find a zero near the value `startValue`.

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, resetAbsoluteAccuracy, 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

### NewtonSolver

    @Deprecated
    public NewtonSolver(DifferentiableUnivariateRealFunction 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.

### NewtonSolver

    public NewtonSolver()

  Construct a solver.

Method Detail

### solve

    @Deprecated
    public double solve(double min,
                                   double max)
                 throws MaxIterationsExceededException,
                        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:
    `FunctionEvaluationException` - if an error occurs evaluating the function
    `MaxIterationsExceededException`

### solve

    @Deprecated
    public double solve(double min,
                                   double max,
                                   double startValue)
                 throws MaxIterationsExceededException,
                        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.
    `startValue` - the start value to use
  Returns:
    a value where the function is zero
  Throws:
    `FunctionEvaluationException` - if an error occurs evaluating the function
    `MaxIterationsExceededException`

### solve

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

  Find a zero near the midpoint of `min` and `max`.

  Parameters:
    `f` - the function to solve
    `min` - the lower bound for the interval
    `max` - the upper bound for the interval
  Returns:
    the value where the function is zero
  Throws:
    `MaxIterationsExceededException` - if the maximum iteration count is exceeded
    `FunctionEvaluationException` - if an error occurs evaluating the function or derivative
    `java.lang.IllegalArgumentException` - if min is not less than max

### solve

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

  Find a zero near the value `startValue`.

  Parameters:
    `f` - the function to solve
    `min` - the lower bound for the interval (ignored).
    `max` - the upper bound for the interval (ignored).
    `startValue` - the start value to use.
  Returns:
    the value where the function is zero
  Throws:
    `MaxIterationsExceededException` - if the maximum iteration count is exceeded
    `FunctionEvaluationException` - if an error occurs evaluating the function or derivative
    `java.lang.IllegalArgumentException` - if startValue is not between min and max or if function is not a `DifferentiableUnivariateRealFunction` instance

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