edu.jas.gbufd

Class GroebnerBasePseudoRecSeq<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.gb.GroebnerBaseAbstract<GenPolynomial<C>>

edu.jas.gbufd.GroebnerBasePseudoRecSeq<C>

Type Parameters:

C - base coefficient type

All Implemented Interfaces:

GroebnerBase<GenPolynomial<C>>, java.io.Serializable

public class GroebnerBasePseudoRecSeq<C extends GcdRingElem<C>>
extends GroebnerBaseAbstract<GenPolynomial<C>>

Groebner Base with pseudo reduction sequential algorithm for integral function coefficients. Implements polynomial fraction free coefficients Groebner bases.

See Also:

GBAlgorithmBuilder, GBFactory, Serialized Form

Field Summary

Fields inherited from class edu.jas.gb.GroebnerBaseAbstract

blas, strategy

Constructor Summary

Constructors

Constructor and Description
GroebnerBasePseudoRecSeq(PseudoReduction<GenPolynomial<C>> red, RingFactory<GenPolynomial<C>> rf) Constructor.
GroebnerBasePseudoRecSeq(RingFactory<GenPolynomial<C>> rf) Constructor.

Method Summary

Modifier and Type	Method and Description
java.util.List<GenPolynomial<GenPolynomial<C>>>	GB(int modv, java.util.List<GenPolynomial<GenPolynomial<C>>> F) Groebner base using pairlist class.
java.util.List<GenPolynomial<GenPolynomial<C>>>	minimalGB(java.util.List<GenPolynomial<GenPolynomial<C>>> Gp) Minimal ordered Groebner basis.

Methods inherited from class edu.jas.gb.GroebnerBaseAbstract

cancel, commonZeroTest, constructUnivariate, extGB, extGB, GB, isGB, isGB, isGB, isGB, isGBidem, isGBsimple, isMinimalGB, isReductionMatrix, isReductionMatrix, minimalExtendedGB, normalizeMatrix, terminate, toString, univariateDegrees

Methods inherited from class java.lang.Object

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

Constructor Detail

GroebnerBasePseudoRecSeq

public GroebnerBasePseudoRecSeq(RingFactory<GenPolynomial<C>> rf)

Constructor.

Parameters:

rf - coefficient ring factory.

GroebnerBasePseudoRecSeq

public GroebnerBasePseudoRecSeq(PseudoReduction<GenPolynomial<C>> red,
                                RingFactory<GenPolynomial<C>> rf)

Constructor.

Parameters:

red - pseudo reduction engine.

rf - coefficient ring factory. Note: red must be an instance of PseudoReductionSeq.

Method Detail

GB

public java.util.List<GenPolynomial<GenPolynomial<C>>> GB(int modv,
                                                          java.util.List<GenPolynomial<GenPolynomial<C>>> F)

Groebner base using pairlist class.

Parameters:

modv - module variable number.

F - polynomial list.

Returns:

GB(F) a Groebner base of F.

minimalGB

public java.util.List<GenPolynomial<GenPolynomial<C>>> minimalGB(java.util.List<GenPolynomial<GenPolynomial<C>>> Gp)

Minimal ordered Groebner basis.

Specified by:

minimalGB in interface GroebnerBase<GenPolynomial<C extends GcdRingElem<C>>>

Overrides:

minimalGB in class GroebnerBaseAbstract<GenPolynomial<C extends GcdRingElem<C>>>

Parameters:

Gp - a Groebner base.

Returns:

a reduced Groebner base of Gp.