On modified Newton methods with cubic convergence
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摘要
In this paper, we present two new modified Newton methods for solving a non-linear equation, permitting f′(x) = 0 in some points. These new methods are showed to be cubically convergent. From the practical application, we show that these new methods are vast superior and possible in global convergence.
论文关键词:Newton method,Third-order convergence,Non-linear equations,Root-finding,Iterative method
论文评审过程:Available online 10 November 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2005.09.052