Semilocal Convergence of a Class of Modified Super-Halley Methods in Banach Spaces

被引：0

作者：

Xiuhua Wang

Jisheng Kou

Chuanqing Gu

机构：

[1] Xiaogan University,School of Mathematics and Statistics

[2] Shanghai University,Department of Mathematics

来源：

Journal of Optimization Theory and Applications | 2012年 / 153卷

关键词：

Nonlinear equations in Banach spaces; Semilocal convergence; Recurrence relations; Super-Halley method; Iterative method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the semilocal convergence of a class of modified super-Halley methods for solving nonlinear equations in Banach spaces. The semilocal convergence of this class of methods is established by using recurrence relations. We construct a system of recurrence relations for the methods, and based on it, we prove an existence–uniqueness theorem that shows the R-order of the methods.

引用

页码：779 / 793

页数：14

共 32 条

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