Improving incremental signature-based Groebner basis algorithms

Details Improving incremental signature-based Groebner basis algorithms Improving incremental signature-based Groebner basis algorithms

2012-01-31

arxiv.org/abs/1201.6472v3

Mathematics

Commutative Algebra

19 pages, 3 tables

Scientific paper

In this paper we describe a combination of ideas to improve incremental signature-based Groebner basis algorithms having a big impact on their performance. Besides explaining how to combine already known optimizations to achieve more efficient algorithms, we compare the quite different effects on the two best-known algorithms in this area, F5 and G2V, both from a theoretical and a practical point of view.

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