A mean Newtons method for simple roots
In this work, we study the convergence behavior of a modified Newtons method based on Simpson integral rule. The convergence properties of this method for solving equations which have simple roots have been discussed and it has been shown that it converges cubically to simple roots. And the values of the corresponding asymptotic error constants of convergence are determined. Theoretical results have been verified on the relevant numerical problems. A comparison of the efficiency of this method with other mean-based Newtons methods, based on the arithmetic, harmonic means and geometric means, is also included.
Newtons method mean-based method order of convergence asymptotic error constant Simpson integral rule
Chunmei Chi
Computer Engineering School, Qingdao Technological University, Qingdao, China, 266033
国际会议
2009 International Workshop on Information Security and Application(2009 信息安全与应用国际研讨会)
青岛
英文
588-590
2009-11-21（万方平台首次上网日期，不代表论文的发表时间）