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[Re] Volume computation for polytopes: Vingt ans après

Andreas Enge 1, 2
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : This article endeavours to reproduce the experimental study of B. Büeler, A. Enge, K. Fukuda: Exact Volume Computation for Polytopes: A Practical Study, 2000, in which a variety of algorithms for volume computation are applied to a variety of different higher-dimensional polytopes. The original software is used on a modern machine to redo the computations. It turns out that due to Moore's law, running times go down, but the original conclusions are still valid.
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Submitted on : Friday, December 11, 2020 - 11:02:13 AM
Last modification on : Saturday, December 4, 2021 - 3:43:59 AM
Long-term archiving on: : Friday, March 12, 2021 - 7:12:01 PM


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Andreas Enge. [Re] Volume computation for polytopes: Vingt ans après. The ReScience journal, GitHub, 2020, 6 (1), pp.#17. ⟨10.5281/zenodo.4242972⟩. ⟨hal-03053781⟩



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