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Inflection point-based auxiliary function algorithm for finding global minima of coercive functions.
- Source :
-
Journal of Computational & Applied Mathematics . Oct2024, Vol. 449, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
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. • The fulfillment of the third axiom of the filling properties is still a challenge. • The third axiom can be weakened to the existence of the inflection point. • Numerical simulation shows that the inflection-based filled function is efficient. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 449
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 177653478
- Full Text :
- https://doi.org/10.1016/j.cam.2024.115955