An approach to accelerate iterative methods for solving nonlinear operator equations

被引：2

作者：

Nedzhibov, Gyurhan H. ^{[1
]}

机构：

[1] Univ Shumen, Fac Math & Informat, Shumen 9700, Bulgaria

来源：

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'11): PROCEEDINGS OF THE 37TH INTERNATIONAL CONFERENCE | 2011年 / 1410卷

关键词：

Iterative methods; Order of convergence; Steffensen's method; Banach space;

D O I：

10.1063/1.3664358

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and analyze a generalization of a Steffensen type acceleration method in case of extracting a locally unique solution of a nonlinear operator equation on a Banach space. In order, we use a special choice of a divided difference for operators. Convergence analysis and some applications of the obtained results are provided.

引用

页数：7