A Newton-Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space

被引：1
|
作者：
Wu, Qingbiao
Zhao, Yueqing [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Zhejiang, Peoples R China
[2] Taizhou Univ, Dept Math, Linhei 317000, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期
关键词：
Jarratt method; banach space; nonlinear operator equation; Newton-Kantorovich theorem;
D O I：
10.1016/j.amc.2005.11.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under the weaken conditions, we establish the Newton-Kantorovich convergence theorem of inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. Finally, some examples are provided to show the application of our theorem. (c) 2005 Elsevier Inc. All rights reserved.
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页码：39 / 46
页数：8
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