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Maximization of multivariable functions using interval analysis

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Interval Mathematics 1985 (IMath 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 212))

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Abstract

We described an algorithm for maximizing functions by use of interval analysis. It enables us to obtain the maximum in the domain or on the boundary. Both unconstrained and constrained global maximum can be computed. So far we have calculated maxima of the functions up to five variables. If effective devices for reducing interval width of functions are developed, this method can be applied to higher-dimensional problems.

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References

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Author information

Authors and Affiliations

  1. Educational Center for Information Processing, Kyoto University, Japan

    Yasuo Fujii

  2. Faculty of Business Administration, Kyoto Sangyo University, Japan

    Kozo Ichida

  3. Department of Electrical Engineering, Ritsumeikan University, Japan

    Masahiro Ozasa

Authors
  1. Yasuo Fujii
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  2. Kozo Ichida
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  3. Masahiro Ozasa
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Editor information

Karl Nickel

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© 1986 Springer-Verlag Berlin Heidelberg

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Fujii, Y., Ichida, K., Ozasa, M. (1986). Maximization of multivariable functions using interval analysis. In: Nickel, K. (eds) Interval Mathematics 1985. IMath 1985. Lecture Notes in Computer Science, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16437-5_3

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  • DOI: https://doi.org/10.1007/3-540-16437-5_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16437-1

  • Online ISBN: 978-3-540-39779-3

  • eBook Packages: Springer Book Archive

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