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

被引：8
作者：
Wang, Xiuhua [1 ]
Kou, Jisheng [1 ]
Gu, Chuanqing [2 ]
机构：
[1] Xiaogan Univ, Sch Math & Stat, Xiaogan 432100, Hubei, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 153卷 / 03期
关键词：
Nonlinear equations in Banach spaces; Semilocal convergence; Recurrence relations; Super-Halley method; Iterative method; RATIONAL CUBIC METHODS; RECURRENCE RELATIONS; 4TH-ORDER CONVERGENCE;
D O I：
10.1007/s10957-012-9985-9
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
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 -order of the methods.
引用
收藏
页码：779 / 793
页数：15
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