کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776442 1631973 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A first overview on the real dynamics of Chebyshev's method
ترجمه فارسی عنوان
یک مرور کلی از دینامیک واقعی روش چبیشف
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this paper we explore some properties of the well known root-finding Chebyshev's method applied to polynomials defined on the real field. In particular we are interested in showing the existence of extraneous fixed points, that is fixed points of the iteration map that are not root of the considered polynomial. The existence of such extraneous fixed points is a specific property in the dynamical study of Chebyshev's method that does not happen in other known iterative methods as Newton's or Halley's methods. In addition, in this work we consider other dynamical aspects of the method as, for instance, the Feigenbaum bifurcation diagrams or the parameter plane.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 318, July 2017, Pages 422-432
نویسندگان
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