Name
Abstract | ||
|---|---|---|
This paper shows how to solve homogeneous polynomial systems that contain parameters. The Hilbert function is used to check that the specialization of a 'generic' Gröbner basis of the parametric homogeneous polynomial system (computed in a polynomial ring containing the parameters and the unknowns as variables) is a Gröbner basis of the specialized homogeneous polynomial system. A preliminary implementation of these algorithms in PoSSoLib is also reported. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1145/373500.373501 | ACM SIGSAM Bulletin |
Keywords | Field | DocType |
specialized homogeneous,homogeneous polynomial system,preliminary implementation,homogeneous case,hilbert function,bner bases specialization,polynomial ring,parametric homogeneous,bner basis,polynomial system | Discrete mathematics,Stable polynomial,Combinatorics,Algebra,Polynomial,Polarization of an algebraic form,Hilbert series and Hilbert polynomial,Homogeneous polynomial,Monic polynomial,Monomial basis,Matrix polynomial,Mathematics | Journal |
Volume | Issue | Citations |
34 | 1 | 4 |
PageRank | References | Authors |
0.73 | 4 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M.-J. Gonzalez-Lopez | 1 | 6 | 1.48 |
| L. Gonzalez-Vega | 2 | 4 | 1.07 |
| C. Traverso | 3 | 48 | 9.26 |
| A. Zanoni | 4 | 4 | 0.73 |