کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632464 1340646 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On convergence of the modified Newton’s method under Hölder continuous Fréchet derivative
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On convergence of the modified Newton’s method under Hölder continuous Fréchet derivative
چکیده انگلیسی

In this paper, the upper and lower estimates of the radius of the convergence ball of the modified Newton’s method in Banach space are provided under the hypotheses that the Fréchet derivative of the nonlinear operator are center Hölder continuous for the initial point and the solution of the operator. The error analysis is given which matches the convergence order of the modified Newton’s method. The uniqueness ball of solution is also established. Numerical examples for validating the results are also provided, including a two point boundary value problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 213, Issue 2, 15 July 2009, Pages 440–448
نویسندگان
, ,