ENLARGING THE BALL OF CONVERGENCE OF SECANT-LIKE METHODS FOR NON-DIFFERENTIABLE OPERATORS

被引：0
|
作者：
Argyros, Toannis K. [1 ]
Ren, Hongmin [2 ]
机构：
[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
[2] Hangzhou Polytech, Coll Informat & Engn, Hangzhou 311402, Zhejiang, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 01期
关键词：
non-differentiable operator equation; the secant-like method; the ball of convergence; the omega-condition and centered-like omega-condition; affine invariant form; LOCAL CONVERGENCE;
D O I：
10.4134/JKMS.j160629
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using omega-condition and centered-like w-condition meantime as well as some fine techniques such as the affine invariant form. Numerical examples are also provided.
引用
收藏
页码：17 / 28
页数：12
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