com.numericalmethod.suanshu.analysis.function.polynomial.root

Class QuarticRootFerrari

java.lang.Object

com.numericalmethod.suanshu.analysis.function.polynomial.root.QuarticRootFerrari

All Implemented Interfaces:

QuarticRoot.QuarticSolver, java.io.Serializable

public class QuarticRootFerrari
extends java.lang.Object
implements QuarticRoot.QuarticSolver

This is a quartic equation solver that solves \(ax^4 + bx^3 + cx^2 + dx + e = 0\) using the Ferrari method.

See Also:

• Wikipedia: Ferrari's solution
• QuarticRoot Equation from Wolfram MathWorld

, Serialized Form

Constructor Summary

Constructors

Constructor and Description
QuarticRootFerrari()

Method Summary

Modifier and Type	Method and Description
java.util.List<java.lang.Number>	solve(double a, double b, double c, double d, double e) Solve \(ax^4 + bx^3 + cx^2 + dx + e = 0\).
java.util.List<java.lang.Number>	solve(double a, double b, double c, double d, double e, double epsilon) Solve \(ax^4 + bx^3 + cx^2 + dx + e = 0\).
java.util.List<java.lang.Number>	solve(Polynomial polynomial) Solve \(ax^4 + bx^3 + cx^2 + dx + e = 0\).

Methods inherited from class java.lang.Object

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

Constructor Detail

QuarticRootFerrari

public QuarticRootFerrari()

Method Detail

solve

public java.util.List<java.lang.Number> solve(double a,
                                              double b,
                                              double c,
                                              double d,
                                              double e,
                                              double epsilon)

Solve \(ax^4 + bx^3 + cx^2 + dx + e = 0\).

Parameters:

a - a

b - b

c - c

d - d

e - e

epsilon - a precision parameter: when a number |x| ≤ ε, it is considered 0

Returns:

the list of roots

See Also:

Wikipedia: Ferrari's solution

solve

public java.util.List<java.lang.Number> solve(double a,
                                              double b,
                                              double c,
                                              double d,
                                              double e)

Description copied from interface: QuarticRoot.QuarticSolver

Solve \(ax^4 + bx^3 + cx^2 + dx + e = 0\).

Specified by:

solve in interface QuarticRoot.QuarticSolver

Parameters:

a - a

b - b

c - c

d - d

e - e

Returns:

the list of roots

solve

public java.util.List<java.lang.Number> solve(Polynomial polynomial)

Solve \(ax^4 + bx^3 + cx^2 + dx + e = 0\).

Parameters:

polynomial - a quartic equation to be solved

Returns:

the roots of the quartic equation

Throws:

java.lang.IllegalArgumentException - if the polynomial degree is not 4