Package edu.jas.gbufd
Class GroebnerBasePseudoSeq<C extends GcdRingElem<C>>
java.lang.Object
edu.jas.gb.GroebnerBaseAbstract<C>
edu.jas.gbufd.GroebnerBasePseudoSeq<C>
- Type Parameters:
C
- coefficient type
- All Implemented Interfaces:
GroebnerBase<C>
,Serializable
Groebner Base with pseudo reduction sequential algorithm. Implements
coefficient fraction free Groebner bases.
Coefficients can for example be integers or (commutative) univariate polynomials.
- See Also:
-
Field Summary
FieldsModifier and TypeFieldDescriptionprotected final RingFactory
<C> Coefficient ring factory.private static final boolean
protected final GreatestCommonDivisorAbstract
<C> Greatest common divisor engine for coefficient content and primitive parts.private static final org.apache.logging.log4j.Logger
protected final PseudoReduction
<C> Pseudo reduction engine.Fields inherited from class edu.jas.gb.GroebnerBaseAbstract
blas, strategy
-
Constructor Summary
ConstructorsConstructorDescriptionGroebnerBasePseudoSeq
(PseudoReduction<C> red, RingFactory<C> rf, PairList<C> pl) Constructor.Constructor.GroebnerBasePseudoSeq
(RingFactory<C> rf, PairList<C> pl) Constructor. -
Method Summary
Modifier and TypeMethodDescriptionGB
(int modv, List<GenPolynomial<C>> F) Groebner base using pairlist class.minimalGB
(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
-
Field Details
-
logger
private static final org.apache.logging.log4j.Logger logger -
debug
private static final boolean debug -
engine
Greatest common divisor engine for coefficient content and primitive parts. -
red
Pseudo reduction engine. -
cofac
Coefficient ring factory.
-
-
Constructor Details
-
GroebnerBasePseudoSeq
Constructor.- Parameters:
rf
- coefficient ring factory.
-
GroebnerBasePseudoSeq
Constructor.- Parameters:
rf
- coefficient ring factory.pl
- pair selection strategy
-
GroebnerBasePseudoSeq
Constructor.- Parameters:
red
- pseudo reduction engine. Note: red must be an instance of PseudoReductionSeq.rf
- coefficient ring factory.pl
- pair selection strategy
-
-
Method Details
-
GB
Groebner base using pairlist class.- Parameters:
modv
- module variable number.F
- polynomial list.- Returns:
- GB(F) a Groebner base of F.
-
minimalGB
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.
-