Minimization of sub-topical functions over a simplex

Document Type : Research Article

Authors

• M.H. Daryaei
• M.A. Yaghoobi

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

10.22067/ijnao.2023.83361.1290

Abstract

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.

Keywords

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

Main Subjects

• Optimization

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References

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