Comparative study of methods of various orders for finding repeated roots of nonlinear equations
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摘要
In this paper we are considering 20 (families of) methods for finding repeated roots of a nonlinear equation. The methods are of order up to 8. We use the idea of basin of attraction to compare the methods. We found that 4 methods performed best based on 3 quantitative criteria.
论文关键词:65H05,65B99,Iterative methods,Order of convergence,Rational maps,Basin of attraction,Conjugacy classes
论文评审过程:Received 11 October 2017, Available online 22 March 2018, Version of Record 22 March 2018.
论文官网地址:https://doi.org/10.1016/j.cam.2018.02.009