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Incorporating non-monotone trust region algorithm with line search method for unconstrained optimization | ||
| Journal of Mathematical Modeling | ||
| مقاله 27، دوره 13، شماره 1، خرداد 2025، صفحه 219-233 اصل مقاله (261.46 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.28257.2492 | ||
| نویسندگان | ||
| Seyed Hamzeh Mirzaie؛ Ali Ashrafi* | ||
| Department of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran | ||
| چکیده | ||
| This paper concerns an efficient trust region framework that exploits a new non-monotone line search method. The new algorithm avoids the sudden increase of the objective function values in the non-monotone trust region method. Instead of resolving the trust region subproblem whenever the trial step is rejected, the proposed algorithm employs an Armijo-type line search method in the direction of the rejected trial step to construct a new point. Global and superlinear properties are preserved under appropriate conditions. Comparative numerical experiments depict the efficiency and robustness of the new algorithm using the Dolan-More performance profiles. | ||
| کلیدواژه‌ها | ||
| Unconstrained optimization؛ trust region؛ line search؛ non-monotone technique | ||
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آمار تعداد مشاهده مقاله: 60 تعداد دریافت فایل اصل مقاله: 73 |
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