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

页码：17 / 28

页数：12

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