Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots

Loading...
Thumbnail Image
Authors
Chun, Changbum
Neta, Beny
Subjects
Iterative methods
Order of convergence
Rational maps
Basin of attraction
Conjugacy classes
Advisors
Date of Issue
2015
Date
Publisher
Language
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.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.matcom.2014.08.005
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
C. Chun, B. Neta, "Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots," Mathematics and Computers in Simulation, V. 109, (2015), pp. 74-91
Distribution Statement
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