کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8959537 1646324 2018 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a two-step optimal Steffensen-type method: Relaxed local and semi-local convergence analysis and dynamical stability
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On a two-step optimal Steffensen-type method: Relaxed local and semi-local convergence analysis and dynamical stability
چکیده انگلیسی
In this paper, we study on the local and semi-local convergence and dynamic of an iterative optimal two-step Steffensen's method. We study local convergence by using Lipschitz conditions and continuity of differentiable function F. We also obtain semi-local convergence by using majorizing sequences. By this approach, we can obtain the convergence of the method by minimum of auxiliary sequences and few initial conditions. Moreover, we analyze the stability of the method via Julia sets and parameter planes that is a novelty for Steffensen-type methods. We extend this method for obtaining the sign function of a matrix. Numerical examples are given to confirm our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 468, Issue 1, 1 December 2018, Pages 240-269
نویسندگان
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