Class RootFinding

java.lang.Object

org.episteme.core.mathematics.analysis.numerical.RootFinding

public class RootFinding
extends Object

Root finding algorithms for single-variable functions.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
RootFinding()

Method Summary

Modifier and Type	Method	Description
static Real	bisection(RealFunction f, Real a, Real b)	Finds a root using the bisection method.
static Real	bisection(RealFunction f, Real a, Real b, double tolerance)
static Real	brent(RealFunction f, Real a, Real b)	Finds a root using Brent's method.
static Real	brent(RealFunction f, Real a, Real b, double tolerance)
static Real	newtonRaphson(RealFunction f, RealFunction df, Real x0)	Finds a root using Newton-Raphson method.
static Real	newtonRaphson(RealFunction f, RealFunction df, Real x0, double tolerance)
static Real	secant(RealFunction f, Real x0, Real x1)	Finds a root using the secant method.
static Real	secant(RealFunction f, Real x0, Real x1, double tolerance)

Methods inherited from class Object

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

Constructor Details

RootFinding

public RootFinding()

Method Details

bisection

public static Real bisection(RealFunction f,
 Real a,
 Real b)

Finds a root using the bisection method.

bisection

public static Real bisection(RealFunction f,
 Real a,
 Real b,
 double tolerance)

newtonRaphson

public static Real newtonRaphson(RealFunction f,
 RealFunction df,
 Real x0)

Finds a root using Newton-Raphson method.

newtonRaphson

public static Real newtonRaphson(RealFunction f,
 RealFunction df,
 Real x0,
 double tolerance)

secant

public static Real secant(RealFunction f,
 Real x0,
 Real x1)

Finds a root using the secant method.

secant

public static Real secant(RealFunction f,
 Real x0,
 Real x1,
 double tolerance)

brent

public static Real brent(RealFunction f,
 Real a,
 Real b)

Finds a root using Brent's method.

brent

public static Real brent(RealFunction f,
 Real a,
 Real b,
 double tolerance)