Ball convergence theorems for Halley’s method in Banach space

被引：0
|
作者：
Ioannis K. Argyros
Hongmin Ren
机构：
[1] Cameron University,Department of Mathematical Sciences
[2] Hangzhou Polytechnic,College of Information and Electronics
来源：
Journal of Applied Mathematics and Computing | 2012年 / 38卷 / 1-2期
关键词：
Newton’s method; Halley’s method; Banach space; Ball convergence; Convex majorants; Radius of convergence; 65G99; 65J15; 47H17; 47J05; 49M15;
D O I：
10.1007/s12190-011-0490-3
中图分类号：
学科分类号：
摘要：
We provide local convergence results for Halley’s method in order to approximate a locally unique zero of an operator in a Banach space setting using convex majorants. Kantorovich-type and Smale-type results are considered as applications and special cases.
引用
收藏
页码：453 / 465
页数：12
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