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arXiv · 1802.08532

ZpL: a p-adic precision package

Xavier Caruso·David Roe·Tristan Vaccon
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Abstract

We present a new package ZpL for the mathematical software system SM. It implements a sharp tracking of precision on p-adic numbers, following the theory of ultrametric precision introduced in [4]. The underlying algorithms are mostly based on automatic dierentiation techniques. We introduce them, study their complexity and discuss our design choices. We illustrate the bene-ts of our package (in comparison with previous implementations) with a large sample of examples coming from linear algebra, com-mutative algebra and dierential equations.

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Xavier Caruso, David Roe, Tristan Vaccon. 2018-02-23. ZpL: a p-adic precision package. https://arxiv.org/abs/1802.08532

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