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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 3, Pages 90–103
DOI: https://doi.org/10.31857/S0555292322030081 (Mi ppi2378) 		 
Large Systems

Fast evaluation algorithms for elementary algebraic and inverse functions using the FEE method

E. A. Karatsuba

Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292322030081
Abstract: We construct new fast evaluation algorithms for elementary algebraic and inverse functions based on application of two methods: A.A. Karatsuba’s method of 1960 and the author’s FEE method of 1990. The computational complexity is close to the optimal. The algorithms admit partial parallelization.
Keywords: fast algorithms, computational complexity, A.A. Karatsuba’s method, FEE method, Newton’s method, elementary algebraic functions, inverse functions, rational function, logarithmic function.
Received: 13.06.2022
Revised: 27.07.2022
Accepted: 27.07.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 3, Pages 284–296
DOI: https://doi.org/10.1134/S0032946022030085
Bibliographic databases:
Document Type: Article
UDC: 519.651 : 517.589
Language: Russian
Citation: E. A. Karatsuba, “Fast evaluation algorithms for elementary algebraic and inverse functions using the FEE method”, Probl. Peredachi Inf., 58:3 (2022), 90–103; Problems Inform. Transmission, 58:3 (2022), 284–296
Citation in format AMSBIB
\Bibitem{Kar22}
\by E.~A.~Karatsuba
\paper Fast evaluation algorithms for elementary algebraic and inverse functions using the FEE method
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 3
\pages 90--103
\mathnet{http://mi.mathnet.ru/ppi2378}
\crossref{https://doi.org/10.31857/S0555292322030081}
\edn{https://elibrary.ru/EAXCNG}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 3
\pages 284--296
\crossref{https://doi.org/10.1134/S0032946022030085}
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