An analysis of a new family of eighth-order optimal methods
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摘要
A new family of eighth order optimal methods is developed and analyzed. Numerical experiments show that our family of methods perform well and in many cases some members are superior to other eighth order optimal methods. It is shown how to choose the parameters to widen the basin of attraction.
论文关键词：Newton’s method,Iterative methods,Nonlinear equations,Order of convergence,Extraneous fixed points,Basin of attraction
论文评审过程：Available online 12 August 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.07.068
