Semilocal convergence of a sixth-order method in Banach spaces

被引：0
|
作者：
Lin Zheng
Chuanqing Gu
机构：
[1] Shanghai University,Department of Mathematics
来源：
Numerical Algorithms | 2012年 / 61卷
关键词：
Nonlinear equations in Banach spaces; A sixth-order method; Recurrence relations; Semilocal convergence; A priori error bounds;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a new iterative method of order six and study the semilocal convergence of the method by using the recurrence relations for solving nonlinear equations in Banach spaces. We prove an existence-uniqueness theorem and give a priori error bounds which demonstrates the R-order of the method to be six. Finally, we give some numerical applications to demonstrate our approach.
引用
收藏
页码：413 / 427
页数：14
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