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Testing pseudoconvexity via interval computation

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  • Milan Hladík

    (Charles University)

Abstract

We study the problem of checking pseudoconvexity of a twice differentiable function on an interval domain. Based on several characterizations of pseudoconvexity of a real function, we propose sufficient conditions for verifying pseudoconvexity on a domain formed by a Cartesian product of real intervals. We carried out numerical experiments to show which methods perform well from two perspectives—the computational complexity and effectiveness of recognizing pseudoconvexity.

Suggested Citation

  • Milan Hladík, 2018. "Testing pseudoconvexity via interval computation," Journal of Global Optimization, Springer, vol. 71(3), pages 443-455, July.
    • Handle: RePEc:spr:jglopt:v:71:y:2018:i:3:d:10.1007_s10898-017-0537-6
    DOI: 10.1007/s10898-017-0537-6
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    References listed on IDEAS

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    1. Eligius M.T. Hendrix & Boglárka G.-Tóth, 2010. "Introduction to Nonlinear and Global Optimization," Springer Optimization and Its Applications, Springer, number 978-0-387-88670-1, September.
    2. Anders Skjäl & Tapio Westerlund, 2014. "New methods for calculating $$\alpha $$ BB-type underestimators," Journal of Global Optimization, Springer, vol. 58(3), pages 411-427, March.
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