Construction of third-order modifications of Newton’s method

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摘要

In this paper, an approach for constructing third-order modifications of Newton’s method using second-order iteration formulas is presented. Several numerical examples are given to compare some of the newly obtained methods with the other third-order methods.

论文关键词:Newton’s method,Iterative methods,Nonlinear equations,Order of convergence

论文评审过程:Available online 16 January 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2006.11.127