کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6422058 | 1340607 | 2011 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Basin attractors for various methods
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
There are many methods for the solution of a nonlinear algebraic equation. The methods are classified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss several methods of various orders and present the basin of attraction for several examples. It can be seen that not all higher order methods were created equal. Newton's, Halley's, Murakami's and Neta-Johnson's methods are consistently better than the others. In two of the examples Neta's 16th order scheme was also as good.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 6, 15 November 2011, Pages 2584-2599
Journal: Applied Mathematics and Computation - Volume 218, Issue 6, 15 November 2011, Pages 2584-2599
نویسندگان
Melvin Scott, Beny Neta, Changbum Chun,