کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629612 | 1340583 | 2013 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Families of third and fourth order methods for multiple roots of nonlinear equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Families of third and fourth order methods for multiple roots of nonlinear equations Families of third and fourth order methods for multiple roots of nonlinear equations](/preview/png/4629612.png)
چکیده انگلیسی
This paper presents two families of higher-order iterative methods for solving multiple roots of nonlinear equations. One is of order three and the other is of order four. The presented iterative families all require two evaluations of the function and one evaluation of its first derivative, thus the latter is of optimal order. The third-order family contains several iterative methods known already. And, different from the optimal fourth-order methods for multiple roots known already, the presented fourth-order family use the modified Newton’s method as its first step. Local convergence analyses and some special cases of the presented families are given. We also carry out some numerical examples to show their performance.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 11, 1 February 2013, Pages 6030–6038
Journal: Applied Mathematics and Computation - Volume 219, Issue 11, 1 February 2013, Pages 6030–6038
نویسندگان
Xiaojian Zhou, Xin Chen, Yongzhong Song,