My Project
|
This file provides functions to compute characteristic sets. More...
#include "cfCharSetsUtil.h"
Go to the source code of this file.
Functions | |
CFList | basicSet (const CFList &PS) |
basic set in the sense of Wang a.k.a. minimal ascending set in the sense of Greuel/Pfister More... | |
CFList | charSet (const CFList &PS) |
characteristic set More... | |
CFList | modCharSet (const CFList &PS, StoreFactors &StoredFactors, bool removeContents=true) |
modified medial set More... | |
CFList | modCharSet (const CFList &PS, bool removeContents) |
CFList | charSetViaCharSetN (const CFList &PS) |
compute a characteristic set via medial set More... | |
CFList | charSetN (const CFList &PS) |
medial set More... | |
CFList | charSetViaModCharSet (const CFList &PS, StoreFactors &StoredFactors, bool removeContents=true) |
modified characteristic set, i.e. a characteristic set with certain factors removed More... | |
CFList | charSetViaModCharSet (const CFList &PS, bool removeContents=true) |
modified characteristic set, i.e. a characteristic set with certain factors removed More... | |
ListCFList | charSeries (const CFList &L) |
characteristic series More... | |
ListCFList FACTORY_PUBLIC | irrCharSeries (const CFList &PS) |
irreducible characteristic series More... | |
Varlist | neworder (const CFList &PolyList) |
CFList | newordercf (const CFList &PolyList) |
IntList FACTORY_PUBLIC | neworderint (const CFList &PolyList) |
CFList | reorder (const Varlist &betterorder, const CFList &PS) |
CFFList | reorder (const Varlist &betterorder, const CFFList &PS) |
ListCFList | reorder (const Varlist &betterorder, const ListCFList &Q) |
This file provides functions to compute characteristic sets.
ABSTRACT: Descriptions can be found in Wang "On the Parallelization of characteristic-set based algorithms" or Greuel/Pfister "A Singular Introduction to Commutative Algebra".
Definition in file cfCharSets.h.
basic set in the sense of Wang a.k.a. minimal ascending set in the sense of Greuel/Pfister
Definition at line 150 of file cfCharSets.cc.
ListCFList charSeries | ( | const CFList & | L | ) |
characteristic series
Definition at line 411 of file cfCharSets.cc.
characteristic set
Definition at line 187 of file cfCharSets.cc.
medial set
Definition at line 216 of file cfCharSets.cc.
compute a characteristic set via medial set
Definition at line 246 of file cfCharSets.cc.
modified characteristic set, i.e. a characteristic set with certain factors removed
Definition at line 397 of file cfCharSets.cc.
CFList charSetViaModCharSet | ( | const CFList & | PS, |
StoreFactors & | StoredFactors, | ||
bool | removeContents | ||
) |
modified characteristic set, i.e. a characteristic set with certain factors removed
modified characteristic set, i.e. a characteristic set with certain factors removed
Definition at line 356 of file cfCharSets.cc.
ListCFList FACTORY_PUBLIC irrCharSeries | ( | const CFList & | PS | ) |
irreducible characteristic series
Definition at line 568 of file cfCharSets.cc.
Definition at line 404 of file cfCharSets.cc.
CFList modCharSet | ( | const CFList & | PS, |
StoreFactors & | StoredFactors, | ||
bool | removeContents = true |
||
) |
modified medial set
Definition at line 284 of file cfCharSets.cc.
Definition at line 75 of file cfCharSets.cc.
IntList FACTORY_PUBLIC neworderint | ( | const CFList & | PolyList | ) |
Definition at line 120 of file cfCharSets.cc.
Definition at line 101 of file cfCharSets.cc.
ListCFList reorder | ( | const Varlist & | betterorder, |
const ListCFList & | Q | ||
) |
Definition at line 140 of file cfCharSets.cc.