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Error Estimate for the Displacement Method

  • V. A. GoloveshkinEmail author
  • S. Yu. Solov’evEmail author
Article
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Abstract

The problem of constructing an explicit formula for a majorant of a number sequence specified by recurrence relations is considered. Problems of this kind arise when estimating the error of recursive methods for calculating certain functions of a real variable. A special approach to studying the given recurrence relations is proposed in this work, based on which it is established that a majorant can be provided by a quite specific formula and belongs to the class of subexponential functions.

Keywords

recurrence relation recursive algorithm function of a real variable method error subexponential function 

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References

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    V. A. Ilyin and E. G. Poznyak, Fundamentals of Mathematical Analysis (Nauka, Moscow, 1998; Mir, Moscow, 1982), Part 1.Google Scholar
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    V. A. Goloveshkin and M. V. Ul’yanov, “Complexity classification method for algorithms based on angular measure of functions’ asymptotic increase,” Vychisl. Tekhnol. 11(1), 52–62 (2006).zbMATHGoogle Scholar

Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Institute of Applied MechanicsRussian Academy of SciencesMoscowRussia
  2. 2.MIREA—Russian Technological UniversityMoscowRussia
  3. 3.Department of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

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