edu.jas.ufd

Class FactorRational

java.lang.Object

edu.jas.ufd.FactorAbstract<C>

edu.jas.ufd.FactorAbsolute<BigRational>

edu.jas.ufd.FactorRational

All Implemented Interfaces:

Factorization<BigRational>, java.io.Serializable

public class FactorRational
extends FactorAbsolute<BigRational>

Rational number coefficients factorization algorithms. This class implements factorization methods for polynomials over rational numbers.

See Also:

Serialized Form

Method Summary

Modifier and Type	Method and Description
java.util.List<GenPolynomial<BigRational>>	baseFactorsSquarefree(GenPolynomial<BigRational> P) GenPolynomial base factorization of a squarefree polynomial.
java.util.List<GenPolynomial<BigRational>>	factorsSquarefree(GenPolynomial<BigRational> P) GenPolynomial factorization of a squarefree polynomial.

Methods inherited from class edu.jas.ufd.FactorAbsolute

baseAlgebraicPartialFraction, baseAlgebraicPartialFractionIrreducible, baseAlgebraicPartialFractionIrreducibleAbsolute, baseFactorsAbsolute, baseFactorsAbsoluteIrreducible, baseFactorsAbsoluteSquarefree, factorsAbsolute, factorsAbsoluteIrreducible, factorsAbsoluteSquarefree, isAbsoluteFactorization, isAbsoluteFactorization, isAbsoluteFactorization, isAbsoluteIrreducible, toString

Methods inherited from class edu.jas.ufd.FactorAbstract

baseFactors, baseFactorsRadical, basePrimitivePart, factors, factorsDegree, factorsRadical, factorsRadical, factorsSquarefreeKronecker, factorsSquarefreeOptimize, isFactorization, isFactorization, isIrreducible, isRecursiveFactorization, isReducible, isSquarefree, normalizeFactorization, primitivePart, recursiveFactors, recursiveFactorsSquarefree, squarefreeFactors, squarefreePart

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Method Detail

baseFactorsSquarefree

public java.util.List<GenPolynomial<BigRational>> baseFactorsSquarefree(GenPolynomial<BigRational> P)

GenPolynomial base factorization of a squarefree polynomial.

Specified by:

baseFactorsSquarefree in class FactorAbstract<BigRational>

Parameters:

P - squarefree GenPolynomial.

Returns:

[p_1,...,p_k] with P = prod_{i=1, ..., k} p_i.

factorsSquarefree

public java.util.List<GenPolynomial<BigRational>> factorsSquarefree(GenPolynomial<BigRational> P)

GenPolynomial factorization of a squarefree polynomial.

Specified by:

factorsSquarefree in interface Factorization<BigRational>

Overrides:

factorsSquarefree in class FactorAbstract<BigRational>

Parameters:

P - squarefree GenPolynomial.

Returns:

[p_1,...,p_k] with P = prod_{i=1, ..., k} p_i.