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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 3, Pages 756–760 (Mi zvmmf5316)  
Scientific communications

Some estimates connected with Euclid's algorithm

S. A. Abramov

Moskva
Full-text PDF (533 kB)
Abstract: The number of division in Euclid's algorithm can be overbounded by the number of digits in writing down the lesser of two given numbers in the position system of calculation with some base $q$. The dependence of the properties of these estimates on the value of $q$ is investigated. The release of the memory in the process of using Euclid's algorithm is also studied.
Received: 03.05.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 3, Pages 207–212
DOI: https://doi.org/10.1016/0041-5553(79)90140-X
Bibliographic databases:
Document Type: Article
UDC: 519.6, 511
MSC: Primary 11-04; Secondary 11A63
Language: Russian
Citation: S. A. Abramov, “Some estimates connected with Euclid's algorithm”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 756–760; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 207–212
Citation in format AMSBIB
\Bibitem{Abr79}
\by S.~A.~Abramov
\paper Some estimates connected with Euclid's algorithm
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 3
\pages 756--760
\mathnet{http://mi.mathnet.ru/zvmmf5316}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538942}
\zmath{https://zbmath.org/?q=an:0407.10003}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 3
\pages 207--212
\crossref{https://doi.org/10.1016/0041-5553(79)90140-X}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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