Efficient computing of n-dimensional simultaneous Diophantine approximation problems
et
30 mai 2014
À propos de cet article
Publié en ligne: 30 mai 2014
Pages: 16 - 34
Reçu: 10 avr. 2013
DOI: https://doi.org/10.2478/ausi-2014-0002
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© 2014
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In this paper we consider two algorithmic problems of simultaneous Diophantine approximations. The first algorithm produces a full solution set for approximating an irrational number with rationals with common denominators from a given interval. The second one aims at finding as many simultaneous solutions as possible in a given time unit. All the presented algorithms are implemented, tested and the PariGP version made publicly available.