کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627780 | 1631811 | 2014 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence radius of Osada's method under center-Hölder continuous condition
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convergence radius of Osada's method under center-Hölder continuous condition Convergence radius of Osada's method under center-Hölder continuous condition](/preview/png/4627780.png)
چکیده انگلیسی
Recently, a new treatment based on Taylor's expansion to give the estimate of the convergence radius of iterative method for multiple roots has been presented. It has been successfully applied to enlarge the estimate of the convergence radius of the modified Newton's method for multiple roots. Using the similarly treatment, this paper investigates the convergence radius of the Osada's method under the condition that the derivative f(m+1) of function f satisfies the center-Hölder continuous condition. By some examples, we show the treatment is simpler and efficient once again. The uniqueness ball of solution is also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 243, 15 September 2014, Pages 809-816
Journal: Applied Mathematics and Computation - Volume 243, 15 September 2014, Pages 809-816
نویسندگان
Xiaojian Zhou, Yongzhong Song,