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Ukrainian Mathematical Journal

, Volume 46, Issue 7, pp 903–911 | Cite as

Convergence of an algorithm for constructing snakes

  • V. K. Dzyadyk
  • V. V. Kovtunets
Article
  • 19 Downloads

Abstract

We investigate an algorithm for constructing snakes (extremal polynomials introduced by S. Karlin) suggested by Dzyadyk. It is proved that, in the general case, this algorithm is linearly convergent. In the case where the basis functions of the Chebyshev system belong to the classC2, this algorithm is quadratically convergent.

Keywords

Basis Function Extremal Polynomial Chebyshev System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    L. B. Shevchuk,Construction of Snakes and Their Applications [in Russian], Candidate of Sciences Dissertation (Physics and Mathematics), Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. K. Dzyadyk
    • 1
  • V. V. Kovtunets
    • 2
  1. 1.Ukrainian Academy of SciencesInstitute of MathematicsKiev
  2. 2.Rivne Pedagogical InstituteRivne

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