Bibliographic Details
| Title: |
STATISTICAL METHOD FOR FINDING THE GLOBAL MINIMUM OF A CONTINUOUS FUNCTION IN THE TRIGONOMETRIC BASIS. |
| Authors: |
Balyk, V. M.1 balikv@gmail.ru, Sudilina, E. V.1 hitechsun@yandex.ru, Diep, D. N.2 diephbuniv@gmail.com, Tuong, N. M.3 nguen_m@mirea.ru, Chien, V. T.3 vutrichien00@gmail.com |
| Source: |
Advances & Applications in Discrete Mathematics. May2026, Vol. 43 Issue 4, p435-449. 15p. |
| Subjects: |
Continuous functions, Global optimization, Mathematical optimization, Quantitative research, Fourier series |
| Abstract: |
A method for finding the global minimum of continuous functions is proposed. The method is based on representing the optimized parameters as approximations by trigonometric polynomials, which makes it possible to approximate functions of arbitrary complexity. The method imposes no restrictions on the objective function whatsoever in particular, it does not require knowledge of the Lipschitz constant. The method has been tested on numerous model problems with dimensionality up to 5000 variables. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
