کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641943 1632054 2008 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A cubically convergent Newton-type method under weak conditions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A cubically convergent Newton-type method under weak conditions
چکیده انگلیسی

Under weak conditions, we present an iteration formula to improve Newton's method for solving nonlinear equations. The method is free from second derivatives, permitting f′(x)=0f′(x)=0 in some points and per iteration it requires two evaluations of the given function and one evaluation of its derivative. Analysis of convergence demonstrates that the new method is cubically convergent. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newton's method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1–2, 15 October 2008, Pages 409–412
نویسندگان
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