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Commutative Packages:diffalg
Maple:diffalg
System Name | Maple |
Package Name | diffalg |
Link | http://www-sop.inria.fr/cafe/Evelyne.Hubert/diffalg/ |
Modified by | F. Boulier, E. Hubert |
Coefficient Domains
Rings as Coefficients |
Z Z[x] |
Other Rings |
Floating Point Numbers (up to precision, if limited) | |
Basic Exact Fields |
Q Z/pZ |
Maximal value for prime p (if limited) | Unlimited |
Extension Fields |
simple algebraic extensions algebraic extensions transcendental extensions |
Other Fields |
Monomial Orderings
classical well-orderings (Lex, DegLex, DegRevLex)weighted well-orderings (WDegLex, WDegRevLex)
product (block) orderings
matrix-defined orderings
extra weight (elimination) orderings
local orderings
Other Ordering
Functionality | Criteria |
---|---|
Ideals
Gröbner Basis
FGLM
Hilbert-driven Gröbner Basis
Faugère F4 Heuristic Command based on "BestChoice"
Other variants of the algorithm, computing Gröbner Bases |
Product Criterion Chain Criterion Gebauer-Möller Criterion Other Elements of Gröbner Basics Syzygies and resolutions Lift (Transformation matrix between two bases) Elimination (Krull) dimension Other none |
Other functionality
Non linear differential systems
Highlights
Treats completion and elimination for nonlinear differential systems (ordinary or partial differential equations)