An Analysis of a King-based Family of Optimal Eighth-order Methods
King-based.pdf (1.306Mb)Abstract
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.
Description
The article of record as published may be found at http://dx.doi.org/10.7726/ajac.2015.1001
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
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