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CASC
2015
Springer

Janet Bases and Resolutions in CoCoALib

7 years 11 months ago
Janet Bases and Resolutions in CoCoALib
Abstract. Recently, the authors presented a novel approach to computing resolutions and Betti numbers using Pommaret bases. For Betti numbers, this algorithm is for most examples much faster than the classical methods (typically by orders of magnitude). As the problem of δ-regularity often makes the determination of a Pommaret basis rather expensive, we extend here our algorithm to Janet bases. Although in δsingular coordinates, Janet bases may induce larger resolutions than the corresponding Pommaret bases, our benchmarks demonstrate that this happens rarely and has no significant effect on the computation costs.
Mario Albert, Matthias Fetzer, Werner M. Seiler
Added 17 Apr 2016
Updated 17 Apr 2016
Type Journal
Year 2015
Where CASC
Authors Mario Albert, Matthias Fetzer, Werner M. Seiler
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