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

java.lang.Object
  com.numericalmethod.suanshu.analysis.function.polynomial.QuadraticSyntheticDivision

public class QuadraticSyntheticDivision
extends java.lang.Object

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

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

Constructor Summary

QuadraticSyntheticDivision(Polynomial polynomial, double u, double v)
Divide polynomial P(x) by the quadratic monomial (x² + ux + v).

Method Summary

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,
                                  double u,
                                  double v)

Divide polynomial P(x) by the quadratic monomial (x² + ux + v).

Parameters:

polynomial - a polynomial

u - u as in (x² + ux + v)

v - v as in (x² + ux + v)

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