Package edu.jas.gbufd
Class GroebnerBasePseudoSeq<C extends GcdRingElem<C>>
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- edu.jas.gb.GroebnerBaseAbstract<C>
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- edu.jas.gbufd.GroebnerBasePseudoSeq<C>
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- Type Parameters:
C
- coefficient type
- All Implemented Interfaces:
GroebnerBase<C>
,java.io.Serializable
public class GroebnerBasePseudoSeq<C extends GcdRingElem<C>> extends GroebnerBaseAbstract<C>
Groebner Base with pseudo reduction sequential algorithm. Implements coefficient fraction free Groebner bases. Coefficients can for example be integers or (commutative) univariate polynomials.- Author:
- Heinz Kredel
- See Also:
GBAlgorithmBuilder
,GBFactory
, Serialized Form
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Field Summary
Fields Modifier and Type Field Description protected RingFactory<C>
cofac
Coefficient ring factory.protected GreatestCommonDivisorAbstract<C>
engine
Greatest common divisor engine for coefficient content and primitive parts.protected PseudoReduction<C>
red
Pseudo reduction engine.-
Fields inherited from class edu.jas.gb.GroebnerBaseAbstract
blas, strategy
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Constructor Summary
Constructors Constructor Description GroebnerBasePseudoSeq(PseudoReduction<C> red, RingFactory<C> rf, PairList<C> pl)
Constructor.GroebnerBasePseudoSeq(RingFactory<C> rf)
Constructor.GroebnerBasePseudoSeq(RingFactory<C> rf, PairList<C> pl)
Constructor.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description java.util.List<GenPolynomial<C>>
GB(int modv, java.util.List<GenPolynomial<C>> F)
Groebner base using pairlist class.java.util.List<GenPolynomial<C>>
minimalGB(java.util.List<GenPolynomial<C>> Gp)
Minimal ordered Groebner basis.-
Methods inherited from class edu.jas.gb.GroebnerBaseAbstract
cancel, commonZeroTest, constructUnivariate, extGB, extGB, GB, GB, GB, isGB, isGB, isGB, isGB, isGB, isGB, isGBidem, isGBsimple, isMinimalGB, isMinReductionMatrix, isMinReductionMatrix, isReductionMatrix, isReductionMatrix, minimalExtendedGB, normalizeMatrix, normalizeZerosOnes, terminate, toString, univariateDegrees
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Field Detail
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engine
protected final GreatestCommonDivisorAbstract<C extends GcdRingElem<C>> engine
Greatest common divisor engine for coefficient content and primitive parts.
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red
protected final PseudoReduction<C extends GcdRingElem<C>> red
Pseudo reduction engine.
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cofac
protected final RingFactory<C extends GcdRingElem<C>> cofac
Coefficient ring factory.
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Constructor Detail
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GroebnerBasePseudoSeq
public GroebnerBasePseudoSeq(RingFactory<C> rf)
Constructor.- Parameters:
rf
- coefficient ring factory.
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GroebnerBasePseudoSeq
public GroebnerBasePseudoSeq(RingFactory<C> rf, PairList<C> pl)
Constructor.- Parameters:
rf
- coefficient ring factory.pl
- pair selection strategy
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GroebnerBasePseudoSeq
public GroebnerBasePseudoSeq(PseudoReduction<C> red, RingFactory<C> rf, PairList<C> pl)
Constructor.- Parameters:
red
- pseudo reduction engine. Note: red must be an instance of PseudoReductionSeq.rf
- coefficient ring factory.pl
- pair selection strategy
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Method Detail
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GB
public java.util.List<GenPolynomial<C>> GB(int modv, java.util.List<GenPolynomial<C>> F)
Groebner base using pairlist class.- Parameters:
modv
- module variable number.F
- polynomial list.- Returns:
- GB(F) a Groebner base of F.
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minimalGB
public java.util.List<GenPolynomial<C>> minimalGB(java.util.List<GenPolynomial<C>> Gp)
Minimal ordered Groebner basis.- Specified by:
minimalGB
in interfaceGroebnerBase<C extends GcdRingElem<C>>
- Overrides:
minimalGB
in classGroebnerBaseAbstract<C extends GcdRingElem<C>>
- Parameters:
Gp
- a Groebner base.- Returns:
- a reduced Groebner base of Gp.
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