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Towards an optimal control of the wrapping effect

In: Developments in Reliable Computing

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  • Wolfgang Kühn

    (Konrad-Zuse-Zentrum für Informationstechnik Berlin)

Abstract

High order zonotopes, that is, bodies which are the finite sum of parallelepipeds, can be used to compute enclosures for the orbits of discrete dynamical systems. A Flush-When-Full (FWF) strategy on the summands effectively avoids the wrapping effect by wrapping small summands much more often than large ones. In a competitive analysis, different online FWF strategies are evaluated according to their performance relative to an optimal offline algorithm. Numerical experiments indicate that there is an optimal online FWF strategy which significantly outperforms previously employed strategies.

Suggested Citation

  • Wolfgang Kühn, 1999. "Towards an optimal control of the wrapping effect," Springer Books, in: Tibor Csendes (ed.), Developments in Reliable Computing, pages 43-51, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-1247-7_4
    DOI: 10.1007/978-94-017-1247-7_4
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