Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algorithm
|
| gptkbp:complexity |
doubly exponential in worst case
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra computer algebra |
| gptkbp:generalizes |
gptkb:Euclidean_algorithm
gptkb:Gaussian_elimination |
| https://www.w3.org/2000/01/rdf-schema#label |
Buchberger's algorithm
|
| gptkbp:implementedIn |
gptkb:Mathematica
gptkb:Maple gptkb:CoCoA gptkb:Macaulay2 Singular |
| gptkbp:input |
finite set of polynomials
|
| gptkbp:introducedIn |
1965
|
| gptkbp:inventedBy |
gptkb:Bruno_Buchberger
|
| gptkbp:namedAfter |
gptkb:Bruno_Buchberger
|
| gptkbp:output |
gptkb:Gröbner_basis
|
| gptkbp:purpose |
compute Gröbner bases
|
| gptkbp:relatedTo |
gptkb:Gröbner_basis
gptkb:S-polynomial syzygy monomial order polynomial ideal |
| gptkbp:usedIn |
ideal membership problem
solving systems of polynomial equations |
| gptkbp:bfsParent |
gptkb:Gröbner_basis
|
| gptkbp:bfsLayer |
6
|