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arXiv · 1201.6472

Improving incremental signature-based Groebner basis algorithms

Christian Eder
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Abstract

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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Christian Eder. 2012-03-26. Improving incremental signature-based Groebner basis algorithms. https://arxiv.org/abs/1201.6472

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