On the Domain of Starting Points of Newton's Method Under Center Lipschitz Conditions

被引：4

作者：

Ezquerro, J. A. ^{[1
]}

Hernandez-Veron, M. A. ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, C Luis de Ulloa S-N, Logrono 26004, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Nonlinear operator; Newton's method; semilocal convergence; region of accessibility; integral equation; nonlinear system; SEMILOCAL CONVERGENCE; THEOREM;

D O I：

10.1007/s00009-015-0596-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

When the semilocal convergence of Newton's method is studied in Banach spaces under center Lipschitz conditions, it is usual to choose the point where the Lipschitz condition is centered as the initial point for Newton's method. In this work, we improve this choice looking for a domain of initial points (a convergence domain).

引用

页码：2287 / 2300

页数：14

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