com.numericalmethod.suanshu.analysis.function.polynomial

Class QuadraticSyntheticDivision

java.lang.Object

com.numericalmethod.suanshu.analysis.function.polynomial.QuadraticSyntheticDivision

All Implemented Interfaces:

java.io.Serializable

public class QuadraticSyntheticDivision
extends java.lang.Object
implements java.io.Serializable

Divide a polynomial P(x) by a quadratic monomial (x² + ux + v) to give the quotient Q(x) and the remainder (b * (x + u) + a). The polynomial remainder theorem says:

 P(x) = (x2 + ux + v) Q(x) + (b * (x + u) + a)
 

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
QuadraticSyntheticDivision(Polynomial polynomial, QuadraticMonomial quadratic) Divide a polynomial by a quadratic monomial.

Method Summary

Modifier and Type	Method and Description
double	a() Get a as in the remainder (b * (x + u) + a).
double	b() Get b as in the remainder (b * (x + u) + a).
Polynomial	quotient() Get the quotient Q(x).

Methods inherited from class java.lang.Object

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

Constructor Detail

QuadraticSyntheticDivision

public QuadraticSyntheticDivision(Polynomial polynomial,
                                  QuadraticMonomial quadratic)

Divide a polynomial by a quadratic monomial.

Parameters:

polynomial - a polynomial

quadratic - a quadratic monomial

Method Detail

quotient

public Polynomial quotient()

Get the quotient Q(x).

Returns:

Q(x)

a

public double a()

Get a as in the remainder (b * (x + u) + a).

Returns:

a

b

public double b()

Get b as in the remainder (b * (x + u) + a).

Returns:

b