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

java.lang.Object
  com.numericalmethod.suanshu.analysis.function.polynomial.root.QuarticByFerrari

All Implemented Interfaces:

Quartic.QuarticSolver

public class QuarticByFerrari
extends java.lang.Object
implements Quartic.QuarticSolver

This solves the quartic equations by the Ferrari method.

Solve

ax⁴ + bx³ + cx² + dx + e = 0

using quartic root-finding formula, which is based on Ferrari's method.

See Also:

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

Constructor Summary

QuarticByFerrari()

Method Summary

NumberList	solve(double a, double b, double c, double d, double e) Solve ax4 + bx3 + cx2 + dx + e = 0
NumberList	solve(double a, double b, double c, double d, double e, double epsilon) Solve ax4 + bx3 + cx2 + dx + e = 0

Methods inherited from class java.lang.Object

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

Constructor Detail

QuarticByFerrari

public QuarticByFerrari()

Method Detail

solve

public NumberList solve(double a,
                        double b,
                        double c,
                        double d,
                        double e,
                        double epsilon)

Solve

ax⁴ + bx³ + cx² + dx + e = 0

Parameters:

a - a

b - b

c - c

d - d

e - e

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

Returns:

the list of roots

See Also:

Wikipedia: Ferrari's solution

solve

public NumberList solve(double a,
                        double b,
                        double c,
                        double d,
                        double e)

Description copied from interface: Quartic.QuarticSolver

Solve

ax⁴ + bx³ + cx² + dx + e = 0

Specified by:

solve in interface Quartic.QuarticSolver

Parameters:

a - a

b - b

c - c

d - d

e - e

Returns:

the list of roots