A higher-order convergence method for solving univariate and unconstrained optimization problems

被引：0
|
作者：
Zhang H.-R. [1 ,2 ]
Li W.-G. [1 ]
机构：
[1] College of Mathematics and Computational Sciences in China University of Petroleum
[2] Qingdao Institute of BioEnergy and BioProcess Technology, Chinese Academy of Sciences
来源：
Zhongguo Shiyou Daxue Xuebao (Ziran Kexue Ban)/Journal of China University of Petroleum (Edition of Natural Science) | 2010年 / 34卷 / 03期
关键词：
Higher-order convergence; Numerical experiment; Taylor expansion; Unconstrained optimization; Univariate optimization;
D O I：
10.3969/j.issn.1673-5005.2010.03.036
中图分类号：
学科分类号：
摘要：
A new higher-order convergence method for solving univariate and unconstrained optimization problems was presented, and the proof of the convergence properties was given. The iteration formula including an approximation of the third derivative of f(x) by using its Taylor series expansion was derived. The numerical experiment results show that the method is efficient.
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页码：174 / 176
页数：2
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