GroebnerBaseSeq

java.lang.Object
- edu.jas.gb.GroebnerBaseAbstract<C>
- - edu.jas.gb.GroebnerBaseSeq<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

GroebnerBase<C>, java.io.Serializable
```
public class GroebnerBaseSeq<C extends RingElem<C>>
extends GroebnerBaseAbstract<C>
```
Groebner Base sequential algorithm. Implements Groebner bases and GB test.

Author:

Heinz Kredel

See Also:

GBAlgorithmBuilder, GBFactory, Serialized Form

Field Summary
- Fields inherited from class edu.jas.gb.GroebnerBaseAbstract
  blas, red, strategy

Constructor Summary

Constructors
Constructor	Description
`GroebnerBaseSeq()`	Constructor.
`GroebnerBaseSeq(PairList<C> pl)`	Constructor.
`GroebnerBaseSeq(Reduction<C> red)`	Constructor.
`GroebnerBaseSeq(Reduction<C> red, PairList<C> pl)`	Constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`ExtendedGB<C>`	`extGB(int modv, java.util.List<GenPolynomial<C>> F)`	Extended Groebner base using critical pair class.
`java.util.List<GenPolynomial<C>>`	`GB(int modv, java.util.List<GenPolynomial<C>> F)`	Groebner base using pairlist class.

Methods inherited from class edu.jas.gb.GroebnerBaseAbstract
cancel, commonZeroTest, constructUnivariate, extGB, GB, GB, GB, isGB, isGB, isGB, isGB, isGB, isGB, isGBidem, isGBsimple, isMinimalGB, isMinReductionMatrix, isMinReductionMatrix, isReductionMatrix, isReductionMatrix, minimalExtendedGB, minimalGB, normalizeMatrix, normalizeZerosOnes, terminate, toString, univariateDegrees

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - GroebnerBaseSeq
```
public GroebnerBaseSeq()
```
    Constructor.
  - GroebnerBaseSeq
```
public GroebnerBaseSeq(Reduction<C> red)
```
    Constructor.
    
    Parameters:
    
    red - Reduction engine
  - GroebnerBaseSeq
```
public GroebnerBaseSeq(PairList<C> pl)
```
    Constructor.
    
    Parameters:
    
    pl - pair selection strategy
  - GroebnerBaseSeq
```
public GroebnerBaseSeq(Reduction<C> red,
                       PairList<C> pl)
```
    Constructor.
    
    Parameters:
    
    red - Reduction engine
    
    pl - pair selection strategy
- Method Detail
  - 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.
  - extGB
```
public ExtendedGB<C> extGB(int modv,
                           java.util.List<GenPolynomial<C>> F)
```
    Extended Groebner base using critical pair class.
    
    Specified by:
    
    extGB in interface GroebnerBase<C extends RingElem<C>>
    
    Overrides:
    
    extGB in class GroebnerBaseAbstract<C extends RingElem<C>>
    
    Parameters:
    
    modv - module variable number.
    
    F - polynomial list.
    
    Returns:
    
    a container for an extended Groebner base of F.