Efficient computing of n-dimensional simultaneous Diophantine approximation problems
2013 ◽
Vol 5
(1)
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pp. 16-34
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Keyword(s):
Abstract 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.
1983 ◽
Vol 34
(1)
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pp. 114-122
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1988 ◽
Vol 20
(4)
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pp. 289-292
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2006 ◽
Vol 02
(03)
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pp. 431-453
1972 ◽
Vol 6
(2)
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pp. 317-318