LOCAL CONVERGENCE OF INEXACT NEWTON-LIKE METHOD UNDER WEAK LIPSCHITZ CONDITIONS

被引：0
作者：
Ioannis K.ARGYROS [1 ]
Yeol Je CHO [2 ,3 ]
Santhosh GEORGE [4 ]
肖义彬 [2 ]
机构：
[1] Department of Mathematical Sciences, Cameron University
[2] School of Mathematical Sciences, University of Electronic Science and Technology of China
[3] Department of Mathematics Education, Gyeongsang National University
[4] Department of Mathematical and Computational Sciences, National Institute of Technology
来源：
ActaMathematicaScientia | 2020年 / 40卷 / 01期
关键词：
inexact Newton method; Banach space; semilocal convergence; weak and center-weak Lipschitz condition; recurrent functions; Kantorovich hypotheses;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论]; O242.23 [牛顿-拉弗森（Newton-Raphson）法];
学科分类号：
070102 ; 070104 ;
摘要：
The paper develops the local convergence of Inexact Newton-Like Method(INLM)for approximating solutions of nonlinear equations in Banach space setting. We employ weak Lipschitz and center-weak Lipschitz conditions to perform the error analysis. The obtained results compare favorably with earlier ones such as [7, 13, 14, 18, 19]. A numerical example is also provided.
引用
收藏
页码：199 / 210
页数：12
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