Gröbner bases specialization through Hilbert functions
| Autor: | Alberto Zanoni, Laureano Gonzalez-Vega, Carlo Traverso, M.-J. Gonzalez-Lopez |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Hilbert series and Hilbert polynomial
Polynomial General Arts and Humanities Polarization of an algebraic form Monomial basis Matrix polynomial Algebra symbols.namesake Stable polynomial TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY Homogeneous polynomial ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION symbols Monic polynomial Mathematics |
| Zdroj: | ACM SIGSAM Bulletin. 34:1-8 |
| ISSN: | 0163-5824 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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