A new variant of Newton's method based on equidistant nodes

被引：0
作者：
Zhang, Li [1 ,3 ]
Li, Song [1 ]
Yang, Yan [1 ]
Tan, Jieqing [1 ,2 ]
机构：
[1] College of Mathematics, Hefei University of Technology
[2] College of Computer and Information, Hefei University of Technology
[3] Department of Computer Science, Arizona State University, Tempe, Arizona
来源：
Journal of Information and Computational Science | 2013年 / 10卷 / 16期
关键词：
Equidistant nodes; Newton's method; Order of convergence; The complex trapezoidal formula;
D O I：
10.12733/jics20101826
中图分类号：
学科分类号：
摘要：
In this paper, we present a new variant of Newton's method based on the complex trapezoidal formula. It is shown that convergence order of our method is three and could be four in a certain situation. In the end, numerical experiments, which give the comparisons between our method, Newton's method and its several well-known modifications, are provided to show the advantages of our method. © 2013 Binary Information Press.
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页码：5163 / 5170
页数：7
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