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Applications of the proximal difference-of-convex algorithm with extrapolation in optimal correction | ||
| Journal of Mathematical Modeling | ||
| دوره 11، شماره 1، خرداد 2023، صفحه 35-54 اصل مقاله (202.01 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2022.22498.1986 | ||
| نویسندگان | ||
| Samira Shahsavari* ؛ Saeed Ketabchi | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences University of Guilan, Rasht, Iran | ||
| چکیده | ||
| This paper proposes a proximal difference-of-convex algorithm with extrapolation ($PDCA_e$) based on Dinkelbach's approach for the optimal correction of two types of piecewise linear systems, classical obstacle problems and equilibrium problems, and linear inequalities. Using Dinkelbach's theorem leads to getting the roots of two single-variable functions. Considering the non-convex and level-bounded properties of the obtained problems, we use a proximal difference-of-convex algorithm programming to solve them. The experimental results on several randomly generated test problems show that the $PDCA_e$-generalized Newton method outperforms other methods for both feasible and infeasible cases. | ||
| کلیدواژه‌ها | ||
| Proximal difference-of-convex؛ extrapolation؛ classical obstacle problem؛ equilibrium problems؛ linear inequalities؛ nonconvex؛ level-bounded | ||
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آمار تعداد مشاهده مقاله: 158 تعداد دریافت فایل اصل مقاله: 242 |
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