Fibonacci, tribonacci, …, hexanacci and parallel 'error-free' machine arithmetic

Autor: Vladimir Chernov
Jazyk: English<br />Russian
Rok vydání: 2019
Předmět:
Zdroj: Компьютерная оптика, Vol 43, Iss 6, Pp 1072-1078 (2019)
Druh dokumentu: article
ISSN: 2412-6179
0134-2452
DOI: 10.18287/2412-6179-2019-43-6-1072-1078
Popis: The paper proposes a new method of synthesis of machine arithmetic systems for “error-free” parallel computations. The difference of the proposed approach from calculations in traditional Residue Number Systems (RNS) for the direct sum of rings is the parallelization of calculations in finite reductions of non-quadratic global fields whose elements are represented in number systems generated by sequences of powers of roots of the characteristic polynomial for the n-Fibonacci sequence.
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