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Computing

, Volume 28, Issue 3, pp 225–237 | Cite as

On computing the range of values

  • R. E. Moore
  • Shen Zuhe
  • R. E. Moore
Article

Abstract

A simple algorithm is given for computing the range of values of a differentiable function over ann-dimensional rectangle.

Keywords

Computational Mathematic Differentiable Function Simple Algorithm 
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.

Die Berechnung des Wertebereichs

Zusammenfassung

Gegeben ist ein einfaches Verfahren zur Berechnung des Wertebereichs einer differenzierbaren Funktion auf einemn-dimensionalen Quader.

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References

  1. Alefeld, G., Herzberger, J.: Einführung in die Intervallrechnung (Böhling, K. H., Kulisch, U., Maurer, H., eds.). Mannheim-Wien-Zürich: Bibliographisches Institut 1974.Google Scholar
  2. Hansen, E.: Global optimization using interval analysis — the multi-dimensional case. Numer. Math.34, 247–270 (1980).Google Scholar
  3. Moore, R. E.: On computing the range of values of a rational function ofn variables over a bounded region., Computing16, 1–15 (1976).Google Scholar
  4. Moore, R. E.: Methods and applications of interval analysis. SIAM Publications1979.Google Scholar
  5. Skelboe, S.: Computation of rational functions. BIT14, 87–95 (1974).Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • R. E. Moore
    • 1
  • Shen Zuhe
    • 1
  • R. E. Moore
    • 1
  1. 1.Computer Science DepartmentUniversity of WisconsinMadisonUSA

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