A new Aitken type method for accelerating iterative sequences

被引：8

作者：

Bumbariu, Oana ^{[1
]}

机构：

[1] N Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430122, Romania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 01期

关键词：

Fixed point; Picard iterations; Aitken's Delta(2) process; Order of convergence;

D O I：

10.1016/j.amc.2012.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an improved acceleration method for solving nonlinear equations. The new acceleration technique was inspired by one derivation of Aitken's Delta(2) process. Some numerical examples are given to illustrate the abilities of the new proposed acceleration technique. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：78 / 82

页数：5

共 5 条

[1]

Berinde V, 2007, LECT NOTES MATH, V1912, P1

[2] An improvement to the fixed point iterative method [J].

Biazar, Jafar ;

Amirteimoori, Alireza .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) :567-571

[3]

Bumbariu O, 2010, CREATIVE MATH INFORM, V19, P149

[4] A fifth-order iterative method for solving nonlinear equations [J].

Ham, YoonMee ;

Chun, Changbum .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 194 (01) :287-290

[5] Two-step iterative methods for nonlinear equations [J].

Noor, Muhammad Aslam ;

Ahmad, Faizan ;

Javeed, Shumaila .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) :1068-1075

← 1 →