کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625733 1631769 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Unified convergence domains of Newton-like methods for solving operator equations
ترجمه فارسی عنوان
دامنه ی یکپارچه همگرایی روش های نیوتن مانند حل معادلات اپراتور
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We present a unified semilocal convergence analysis in order to approximate a locally unique zero of an operator equation in a Banach space setting. Using our new idea of restricted convergence domains we generate smaller Lipschitz constants than in earlier studies leading to the following advantages: weaker sufficient convergence criteria, tighter error estimates on the distances involved and an at least as precise information on the location of the zero. Hence, the applicability of these methods is extended. These advantages are obtained under the same cost on the parameters involved. Numerical examples where the old sufficient convergence criteria cannot apply to solve equations but the new criteria can apply are also provided in this study.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 286, 5 August 2016, Pages 106–114
نویسندگان
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