An analysis of a new family of eighth-order optimal methods
Authors
Chun, Changbum
Neta, Beny
Advisors
Second Readers
Subjects
Newton's method
Iterative methods
Nonlinear equations
Order of convergence
Extraneous fixed points
Basin of attraction
Iterative methods
Nonlinear equations
Order of convergence
Extraneous fixed points
Basin of attraction
Date of Issue
2014
Date
Publisher
Language
Abstract
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.
Type
Article
Description
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2014.07.068
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funding
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2005012).
Format
Citation
Applied Mathematics and Computation, Volume 245, (2014), pp. 86–107
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.