Inflection point-based auxiliary function algorithm for finding global minima of coercive functions

Pandiya, Ridwan, Pandiya, Ridwan and Salmah, Salmah (2024) Inflection point-based auxiliary function algorithm for finding global minima of coercive functions. Journal of Computational and Applied Mathematics, 449: 115955. ISSN 03770427

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Abstract

Parameter-free filled functions have become a new direction for the auxiliary function approach development as parameters serve as the main barrier of the filled function's efficiency. However, the parameter-free filled function suffers from at least three shortcomings, namely, the use of an exponential function, a lower semi-continuous property, and the fulfillment of the third axiom of the filled function definition. This paper intends to address these limitations by providing a new inflection point-based auxiliary function. This function has continuously differentiable and non-exponential properties. To show the competitiveness of the proposed method, we conduct a comparison with some recently introduced filled function algorithms. Numerical results show the superiority of the proposed method

Item Type: Article
Uncontrolled Keywords: Auxiliary function approach; Global optimization; Parameter-free; Point of inflection
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User: Wiyarsih Wiyarsih
Date Deposited: 13 Mar 2025 04:13
Last Modified: 13 Mar 2025 04:13
URI: https://ir.lib.ugm.ac.id/id/eprint/15736

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