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An iterative method based on Simpson's $3/8$ rule to solve absolute value equations | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 07 اسفند 1403 اصل مقاله (163.16 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.28919.2572 | ||
| نویسندگان | ||
| Farzad Rahpeymaii* 1؛ Majid Rostami2 | ||
| 1Department of Mathematics, National University of Skills (NUS), Tehran, Iran | ||
| 2Department of Mathematics, National University of Skills (NUS), Tehran, Iran | ||
| چکیده | ||
| Newton's method is one of the important algorithms for solving absolute value equations. In this paper, we introduce an efficient two-step iterative method to improve the Newton algorithm. The new method adopts the predictor-corrector technique in which the first step is generalized Newton method and the second step is based on Simpson's $3/8$ rule. Under some standard assumptions, the convergence of new method and its linear convergence rate are obtained. Numerical results show that the our method is efficient and robust to solve absolute value equations. | ||
| کلیدواژه‌ها | ||
| Absolute value equation؛ iteration scheme؛ Simpson rule؛ convergence analysis | ||
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آمار تعداد مشاهده مقاله: 1 تعداد دریافت فایل اصل مقاله: 3 |
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