کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8054594 1519484 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient family of weighted-Newton methods with optimal eighth order convergence
ترجمه فارسی عنوان
یک خانواده کارآمد از روش های وزن نیوتن با همگرایی نظم مطلق هشتم
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
Based on Newton's method, we present a family of three-point iterative methods for solving nonlinear equations. In terms of computational cost, the family requires four function evaluations and has convergence order eight. Therefore, it is optimal in the sense of Kung-Traub hypothesis and has the efficiency index 1.682 which is better than that of Newton's and many other higher order methods. Some numerical examples are considered to check the performance and to verify the theoretical results. Computational results confirm the efficient and robust character of presented algorithms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 29, March 2014, Pages 1-6
نویسندگان
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