Testing pseudoconvexity via interval computation

Milan Hladík ()
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Milan Hladík: Charles University

Journal of Global Optimization, 2018, vol. 71, issue 3, No 2, 443-455

Abstract: 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.

Keywords: Global optimization; Interval computation; Pseudoconvexity (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10898-017-0537-6

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