کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635409 1340710 2007 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Certain improvements of Chebyshev–Halley methods with accelerated fourth-order convergence
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Certain improvements of Chebyshev–Halley methods with accelerated fourth-order convergence
چکیده انگلیسی

In this paper, we present a new one-parameter family of methods which improves the classical Chebyshev–Halley methods with cubic convergence. The convergence analysis shows that each method of the family is quartically convergent and per iteration it requires one evaluation of the given function and two of its first derivative. The well-known Jarratt fourth-order method is shown to be part of the family. Several numerical examples are given to illustrate the efficiency and performance of the presented methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 189, Issue 1, 1 June 2007, Pages 597–601
نویسندگان
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