Documentation API of the 'jhplot.math.num.root.FalsePositionRootFinder' Java class
FalsePositionRootFinder
jhplot.math.num.root

## Class FalsePositionRootFinder

• `public class FalsePositionRootFinderextends IterativeMethod`

The false position method (1) for finding roots of functions.

For example, to find roots for sine, first a `Function` is defined:

` Function sine = new Function() {    public double evaluate(double x) {        return Math.sin(x);    }} }; `

Then, a false position root finder is created with the above function:

` FalsePositionRootFinder finder = new FalsePositionRootFinder(sine); `

Lastly, locating roots is accomplished using the `findRoot(double, double)` method:

` // find the root between 3 and 4. double pi = finder.findRoot(3.0, 4.0);  // find the root between -1 and 1. double zero = finder.findRoot(-1.0, 1.0); `

References:

1. Eric W. Weisstein. "Method of False Position." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/MethodofFalsePosition.html

• ### Nested classes/interfaces inherited from class jhplot.math.num.IterativeMethod

`IterativeMethod.IterativeState`
• ### Constructor Summary

Constructors
Constructor and Description
`FalsePositionRootFinder(Function f)`
Create a root finder for the given function.
`FalsePositionRootFinder(Function f, int iterations, double error)`
Create a root finder for the given function.
• ### Method Summary

All Methods
Modifier and TypeMethod and Description
`double``findRoot(double min, double max)`
Find a root of the target function that lies in the interval [ min, max].
`Function``getFunction()`
Access the target function.
`void``setFunction(Function f)`
Modify the target function.
• ### Methods inherited from class jhplot.math.num.IterativeMethod

`getMaximumIterations, getMaximumRelativeError, iterate, setMaximumIterations, setMaximumRelativeError`
• ### Methods inherited from class java.lang.Object

`equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`
• ### Constructor Detail

• #### FalsePositionRootFinder

`public FalsePositionRootFinder(Function f)`
Create a root finder for the given function.
Parameters:
`f` - the target function.
• #### FalsePositionRootFinder

`public FalsePositionRootFinder(Function f,                               int iterations,                               double error)`
Create a root finder for the given function.
Parameters:
`f` - the target function.
`iterations` - maximum number of iterations.
`error` - maximum relative error.
• ### Method Detail

• #### findRoot

`public double findRoot(double min,                       double max)                throws NumericException`
Find a root of the target function that lies in the interval [ min, max].
Parameters:
`min` - the lower bound of the search interval.
`max` - the upper bound of the search interval.
Returns:
a root that lies between min and max, inclusive.
Throws:
`NumericException` - if a root could not be found.
• #### getFunction

`public Function getFunction()`
Access the target function.
Returns:
the target function.
• #### setFunction

`public void setFunction(Function f)`
Modify the target function.
Parameters:
`f` - the new target function.

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FalsePositionRootFinder
jhplot.math.num.root

## Class FalsePositionRootFinder

• `public class FalsePositionRootFinderextends IterativeMethod`

The false position method (1) for finding roots of functions.

For example, to find roots for sine, first a `Function` is defined:

` Function sine = new Function() {    public double evaluate(double x) {        return Math.sin(x);    }} }; `

Then, a false position root finder is created with the above function:

` FalsePositionRootFinder finder = new FalsePositionRootFinder(sine); `

Lastly, locating roots is accomplished using the `findRoot(double, double)` method:

` // find the root between 3 and 4. double pi = finder.findRoot(3.0, 4.0);  // find the root between -1 and 1. double zero = finder.findRoot(-1.0, 1.0); `

References:

1. Eric W. Weisstein. "Method of False Position." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/MethodofFalsePosition.html

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