Applied Information Technology with a Modified Sixth-Order Convergent Iterative Method for Nonlinear Equations

被引：0
|
作者：
Fang, Liang [1 ]
Pang, Lin [2 ]
机构：
[1] Taishan Univ, Coll Math & Stat, Tai An 271021, Shandong, Peoples R China
[2] Taishan Univ, Circulat Dept Lib, Tai An 271021, Shandong, Peoples R China
来源：
MANUFACTURING, DESIGN SCIENCE AND INFORMATION ENGINEERING, VOLS I AND II | 2015年
关键词：
Iterative method; nonlinear equation; Newton's method; order of convergence; efficiency index; NEWTON-TYPE METHOD; 3RD-ORDER CONVERGENCE; FAMILY;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
With the rapid development of applied information technology, nonlinear problems become an important research in the field of numerical analysis. In this paper, we mainly study the iterative method for solving nonlinear equations. We propose and analyze a modified Newton-type algorithm with six order of convergence for solving nonlinear equations. The method is free from second derivatives. The efficiency index of the presented method is 1.431, which is better than that of the classical Newton's method 1.414. Some numerical experiments demonstrate the performance of the presented algorithm.
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页码：1343 / 1349
页数：7
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