Minimization of sub-topical functions over a simplex

Iranian Journal of Numerical Analysis and Optimization

مقاله 8، دوره 14، Issue 1 - شماره پیاپی 28، خرداد 2024، صفحه 200-218   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2023.83361.1290

نویسندگان

M.H. Daryaei^* ؛ M.A. Yaghoobi

Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

چکیده

This article investigates a particular version of the cutting angle method for finding the global minimizer of sub-topical (increasing and plus sub-homogeneous) functions over a simplex. The algorithm is based on the abstract convexity of sub-topical functions. Furthermore, we discuss the proof of convergence of the algorithm and provide results from numerical
experiments.

کلیدواژه‌ها

Abstract convexity؛ Global optimization؛ Sub-topical functions؛ Cutting angle method

مراجع

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