Convergence analysis for a deformed Newton's method with third-order in Banach space under -condition

被引：7

作者：

Zhao, Yueqing ^{[1
,2
]}

Wu, Qingbiao ^{[1
]}

机构：

[1] Taizhou Univ, Dept Math, Linhai, Zhejiang, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2009年 / 86卷 / 03期

关键词：

deformed Newton's method; Banach space; nonlinear equation; Newton-Kantorovich theorem; -condition; CUBIC CONVERGENCE; EQUATIONS; THEOREM; ITERATION; VARIANT;

D O I：

10.1080/00207160701599683

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the Newton-Kantorovich convergence theorem for a deformed Newton's method in Banach space under -condition, which is used to solve the nonlinear equation. We also present the error estimate. Finally, some examples are provided to show the application of our theorem.

引用

页码：441 / 450

页数：10

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