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Smoothing the absolute value equations by the component-wise analysis | ||
Journal of Mathematical Modeling | ||
مقاله 2، دوره 13، شماره 2، مرداد 2025، صفحه 251-262 اصل مقاله (175.65 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2024.28343.2501 | ||
نویسنده | ||
Mandana Moccari* | ||
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran | ||
چکیده | ||
In this study, an efficient smooth function is introduced to determine the solutions of Absolute Value Equations (AVEs) using a two-step extension of Traub's method. Additionally, a novel approach is proposed for solving AVEs in a component-wise manner. Cubic convergence is achieved under mild assumptions. The results demonstrate that the proposed method is highly effective, as validated by numerical examples. | ||
کلیدواژهها | ||
Absolute value equation؛ Traub's method؛ high order of convergence؛ smooth functions | ||
آمار تعداد مشاهده مقاله: 60 تعداد دریافت فایل اصل مقاله: 115 |