کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624237 1339536 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Secant method for solving nonsmooth equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the Secant method for solving nonsmooth equations
چکیده انگلیسی

In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in Banach space using the Secant method. The differentiability of the operator involved is not assumed. Using a flexible point-based approximation, we provide a local as well as a semilocal convergence analysis for the Secant method. Our results are justified by numerical examples that cannot be handled with earlier works.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 322, Issue 1, 1 October 2006, Pages 146-157