تعداد نشریات | 31 |
تعداد شمارهها | 748 |
تعداد مقالات | 7,122 |
تعداد مشاهده مقاله | 10,274,936 |
تعداد دریافت فایل اصل مقاله | 6,910,519 |
A new $(I+P)$-like preconditioner for the SOR method for solving multi-linear systems with $ \mathcal{M} $-tensors | ||
Journal of Mathematical Modeling | ||
دوره 12، شماره 1، خرداد 2024، صفحه 131-144 اصل مقاله (192.74 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2023.25368.2253 | ||
نویسندگان | ||
Afsaneh Hasanpour1؛ Maryam Mojarrab* 2 | ||
1Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
2Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
چکیده | ||
The use of preconditioning techniques has been shown to offer significant advantages in solving multi-linear systems involving nonsingular $\mathcal{M}$-tensors. In this paper, we introduce a new preconditioner that employs $(I+P)$-like preconditioning techniques, and give the proof of its convergence. We also present numerical examples and comparison results that demonstrate the superior efficiency of our preconditioner compared to both the original SOR method and the previously proposed preconditioned SOR method. | ||
کلیدواژهها | ||
Preconditioner؛ multi-linear systems؛ $\mathcal{M}$-tensor؛ SOR | ||
آمار تعداد مشاهده مقاله: 140 تعداد دریافت فایل اصل مقاله: 211 |