Enviar artigo por via de e-mail THE METHOD OF FICTITIOUS EXTREMA LOCALIZATION IN THE PROBLEM OF GLOBAL OPTIMIZATION
- Autores: Evtushenko Y.1,2, Tret’yakov A.1,3
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Afiliações:
- Federal Research Center “Informatics and Control” of the Russian Academy of Sciences
- Moscow Institute of Physics and Technology (National Research University)
- Siedlce University, Faculty of Sciences
- Edição: Volume 512, Nº 1 (2023)
- Páginas: 78-80
- Seção: МАТЕМАТИКА
- URL: https://journals.rcsi.science/2686-9543/article/view/139284
- DOI: https://doi.org/10.31857/S2686954323600222
- EDN: https://elibrary.ru/PNRHVU
- ID: 139284
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Resumo
The problem of finding the global extremum of a non-negative function on a positive parallelepiped in n-dimensional Euclidean space is considered. A method of fictitious extrema localization in a bounded area near the origin is proposed, which allows to separate the global extremum point from fictitious extrema by discarding it at a significant distance from the localization set of fictitious minima. At the same time, due to the choice of the starting point in the gradient descent method, it is possible to justify the convergence of the iterative sequence to the global extremum of the minimized function.
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Sobre autores
Yu. Evtushenko
Federal Research Center “Informatics and Control” of the Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University)
Autor responsável pela correspondência
Email: yuri-evtushenko@yandex.ru
Russian Federation, Moscow; Russian Federation, Dolgoprudny, Moscow olast
A. Tret’yakov
Federal Research Center “Informatics and Control” of the Russian Academy of Sciences; Siedlce University, Faculty of Sciences
Autor responsável pela correspondência
Email: prof.tretyakov@gmail.com
Russian Federation, Moscow; Poland, Siedlce
Bibliografia
- Евтушенко Ю.Г. Методы решения экстремальных задач и их применение в системах оптимизации. М.: Наука, 1982.
- Карманов В.Г. Математическое программирование. М.: Наука, 1986.
- Grishagin V., Israfilov R., Sergeyev Y. Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes // Applied Mathematics and Computation. 2018. V. 318. P. 270–280.
