An Analysis of a King-based Family of Optimal Eighth-order Methods
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In this paper we analyze an optimal eighth-order family of methods based on King's fourth order method to solve a nonlinear equation. This family of methods was developed by Thukral and Petković and uses a weight function. We analyze the family using the information on the extraneous fixed points. Two measures of closeness of an extraneous points set to the imaginary axis are considered and applied to the members of the family to find its best performer. The results are compared to a modified version of Wang-Liu method.
The article of record as published may be found at http://dx.doi.org/10.7726/ajac.2015.1001
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