How to Increase the Accessibility of Newton's Method for Operators With Center-Lipschitz Continuous First Derivative

被引：0
|
作者：
Ezquerro, J. A. [1 ]
Hernandez-Veron, M. A. [1 ]
Magrenan, A. A. [1 ]
机构：
[1] Univ La Rioja, Dept Math & Computat, Logrono, La Rioja, Spain
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2022年 / 43卷 / 03期
关键词：
the modified Newton method; Newton's method; hybrid method; semilocal convergence; majorizing sequence; accessibility; boundary value problem;
D O I：
10.1080/01630563.2022.2030352
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As accessibility of Newton's method is very restrictive under a center-Lipschitz condition for the first derivative of the operator involved, we construct a hybrid iterative method to increase the accessibility of the method, where the modified Newton method is used to predict a good starting approximation for Newton's method. A boundary value problem illustrates this study.
引用
收藏
页码：350 / 363
页数：14
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