کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629759 1340585 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the semilocal convergence of damped Newton's method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the semilocal convergence of damped Newton's method
چکیده انگلیسی
We establish new semilocal convergence results for the damped Newton's method. Two approaches are used: the first one uses recurrent relations Ezquerro et al. (2010) and Hernández (2000) [13,19] and the second concerns recurrent functions introduced by Argyros (2011) [3]. A comparison between these two methods is provided. Some values of the iteration parameters are given which are almost optimal choices of a certain accuracy and with respect to a certain polynomial. Numerical examples illustrating the theoretical results are also presented in this study.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 5, 15 November 2012, Pages 2808-2824
نویسندگان
, ,