A comparative study on the convergence rate of some iteration methods involving contractive mappings

Fixexd point theory and applications

Mihai Postolache¹  Adrian Ghiura¹  Shahin Fathollahi²  Shahram Rezapour² 

[1] Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, Romania;Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

关键词: contractive map;    fixed point;    iteration method;    rate of convergence;    47H09;    47H10;   

DOI  :  10.1186/s13663-015-0490-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We compare the rate of convergence for some iteration methods for contractions. We conclude that the coefficients involved in these methods have an important role to play in determining the speed of the convergence. By using Matlab software, we provide numerical examples to illustrate the results. Also, we compare mathematical and computer-calculating insights in the examples to explain the reason of the existence of the old difference between the points of view.

【 授权许可】

CC BY