Newton-Kantorovich type convergence theorem for a family of new deformed Chebyshev method

被引：7
作者：
Wu, Qingbiao [2 ]
Zhao, Yueqing [1 ]
机构：
[1] Taizhou Univ, Dept Math, Linhai 317000, Zhejiang, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 02期
关键词：
Newton-Kantorovich theorem; Banach space; nonlinear operator equation; deformed Chebyshev method;
D O I：
10.1016/j.amc.2007.03.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a family of new deformed Chebyshev method with third-order is proposed in Banach space which is used to solve the nonlinear operator equations. The Newton-Kantorovich convergence theorem for the family of new deformed Chebyshev method is established by using majorizing function. The error estimate is also obtained. Finally, few examples are provided to show the application of our theorems. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：405 / 412
页数：8
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