Package edu.jas.application

Groebner base application package.

See:
Description

Class Summary

CGBSeqTest	Comprehenssive Groebner base sequential tests with JUnit.
ColoredSystem<C extends GcdRingElem<C>>	Container for a condition, a corresponding colored polynomial list and a Groebner base pair list.
ColorPolynomial<C extends RingElem<C>>	Colored Polynomials with green, red and white coefficients.
ComplexRootTest	RootUtil tests with JUnit.
ComprehensiveGroebnerBaseSeq<C extends GcdRingElem<C>>	Comprehensive Groebner Base sequential algorithm.
Condition<C extends GcdRingElem<C>>	Condition.
CPair<C extends RingElem<C>>	Serializable subclass to hold pairs of colored polynomials.
CReductionSeq<C extends GcdRingElem<C>>	Polynomial parametric ring reduction sequential use algorithm.
Dimension	Container for dimension parameters.
Examples	Examples for application usage.
ExtensionFieldBuilder	Builder for extension field towers.
ExtensionFieldBuilderTest	ExtensionFieldBuilder tests with JUnit.
FactorAlgebraicPrim<C extends GcdRingElem<C>>	Algebraic number coefficients factorization algorithms.
FactorAlgebraicPrimTest	Factor algebraic tests with JUnit.
FactorFactory	Factorization algorithms factory.
FactorRealReal<C extends GcdRingElem<C> & Rational>	Real algebraic number coefficients factorization algorithms.
FactorRealRealTest	Factor real algebraic tests with JUnit.
FactorTest	Factor tests with JUnit.
GroebnerSystem<C extends GcdRingElem<C>>	Container for a Groebner system.
HenselMultUtilTest	HenselMultUtil tests with JUnit.
Ideal<C extends GcdRingElem<C>>	Ideal implements some methods for ideal arithmetic, for example intersection, quotient and zero and positive dimensional ideal decomposition.
IdealTest	Ideal tests with JUnit.
IdealWithComplexAlgebraicRoots<C extends RingElem<C> & Rational,D extends GcdRingElem<D> & Rational>	Container for Ideals together with univariate polynomials and complex algebraic roots.
IdealWithRealAlgebraicRoots<C extends RingElem<C> & Rational,D extends GcdRingElem<D> & Rational>	Container for Ideals together with univariate polynomials and real algebraic roots.
IdealWithRealRoots<C extends GcdRingElem<C>>	Container for Ideals together with univariate polynomials and real roots.
IdealWithUniv<C extends GcdRingElem<C>>	Container for Ideals together with univariate polynomials.
Local<C extends GcdRingElem<C>>	Local ring element based on GenPolynomial with RingElem interface.
LocalRing<C extends GcdRingElem<C>>	Local ring class based on GenPolynomial with RingElem interface.
LocalTest	Local tests with JUnit.
OrderedCPairlist<C extends GcdRingElem<C>>	Pair list management.
PolyUtilApp<C extends RingElem<C>>	Polynomial utilities for applications, for example conversion ExpVector to Product or zero dimensional ideal root computation.
PolyUtilAppTest	PolyUtilApp tests with JUnit.
PrimaryComponent<C extends GcdRingElem<C>>	Container for primary components of ideals.
PrimitiveElement<C extends GcdRingElem<C>>	Container for primitive elements.
RealAlgebraicNumber<C extends GcdRingElem<C> & Rational>	Complex algebraic number class based on bi-variate real algebraic numbers.
RealAlgebraicRing<C extends GcdRingElem<C> & Rational>	Real algebraic number factory class based on bi-variate real algebraic numbers.
RealAlgebraicTest	RealAlgebraicNumber Test using JUnit.
ReductionTest	Reduction tests with JUnit.
Residue<C extends GcdRingElem<C>>	Residue ring element based on GenPolynomial with RingElem interface.
ResidueRing<C extends GcdRingElem<C>>	Residue ring factory based on GenPolynomial with RingFactory interface.
ResidueTest	Residue tests with JUnit.
RingFactoryTokenizer	RingFactory Tokenizer.
RootFactory	Roots factory.
RunGB	Simple setup to run a GB example.
RunSGB	Simple setup to run a solvable GB example.

Enum Summary

Condition.Color

Colors.

Package edu.jas.application Description

Groebner base application package.

This package contains classes with applications of Groebner bases such as ideal intersections, ideal quotients or ideal dimension are implemented in Ideal and SolvableIdeal. Class Residue provides polynomials residues modulo an ideal defined in ResidueRing. Comprehensive Groebner bases for polynomial rings over parameter rings are implemented in ComprehensiveGroebnerBaseSeq.

Heinz Kredel

Last modified: Fri Dec 24 15:00:18 CET 2010

$Id: package.html 3430 2010-12-24 14:01:57Z kredel $