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Fast Evaluation Algorithms for Elementary Algebraic and Inverse Functions Using the FEE Method

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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.

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Authors and Affiliations

  1. Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia

    E. A. Karatsuba

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  1. E. A. Karatsuba
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Translated from Problemy Peredachi Informatsii, 2022, Vol. 58, No. 3, pp. 90–103. https://doi.org/10.31857/S0555292322030081

In memoriam Yuri Ivanovich Zhuravlev (Jan. 14, 1935 – Jan. 14, 2022)

“Don’t be upset! A method that is not stolen is a bad method, because no one needs it!” (Yu.I. Zhuravlev, 2000)

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Karatsuba, E. Fast Evaluation Algorithms for Elementary Algebraic and Inverse Functions Using the FEE Method. Probl Inf Transm 58, 284–296 (2022). https://doi.org/10.1134/S0032946022030085

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