Charles Explorer logo
🇬🇧

Testing pseudoconvexity via interval computation

Publication at Faculty of Mathematics and Physics |
2018

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.