Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots
Abstract
There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity m. In a
previous paper we have compared 5 such methods, two of which require the evaluation of the (m - 1)th root. We have used the
basin of attraction idea to recommend the best optimal fourth order method. Here we suggest to improve on the best of those five,
namely Zhou-Chen-Song method by showing how to choose the best weight function.
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.matcom.2014.08.005
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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