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  Sparsity Preserving Algorithms for Octagons

Jourdan, J.-H. (2016). Sparsity Preserving Algorithms for Octagons. Retrieved from http://arxiv.org/abs/1612.00277.

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arXiv:1612.00277.pdf (Preprint), 206KB
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arXiv:1612.00277.pdf
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File downloaded from arXiv at 2017-04-26 12:52 in Isabella Mastroeni. Numerical and symbolic abstract domains, Sep 2016, Edinburgh, United Kingdom. Elsevier, Numerical and symbolic abstract domains, pp.14, 2016
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 Urheber:
Jourdan, Jacques-Henri1, Autor           
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1Group D. Dreyer, Max Planck Institute for Software Systems, Max Planck Society, ou_2105286              

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Schlagwörter: Computer Science, Programming Languages, cs.PL,Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Logic in Computer Science, cs.LO
 Zusammenfassung: Known algorithms for manipulating octagons do not preserve their sparsity, leading typically to quadratic or cubic time and space complexities even if no relation among variables is known when they are all bounded. In this paper, we present new algorithms, which use and return octagons represented as weakly closed difference bound matrices, preserve the sparsity of their input and have better performance in the case their inputs are sparse. We prove that these algorithms are as precise as the known ones.

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Sprache(n): eng - English
 Datum: 2016-12-012016
 Publikationsstatus: Online veröffentlicht
 Seiten: 14 p.
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 Identifikatoren: arXiv: 1612.00277
URI: http://arxiv.org/abs/1612.00277
BibTex Citekey: DBLP:journals/corr/Jourdan16
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