Comparison of several families of optimal eighth order methods
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Authors
Neta, Beny
Chun, Changbum
Subjects
iterative methods
order of convergence
basin of attraction
extraneous fixed points
order of convergence
basin of attraction
extraneous fixed points
Advisors
Date of Issue
2016
Date
2016
Publisher
Elsevier Inc.
Language
Abstract
Several families of optimal eighth order methods to find simple roots are compared to the best known eighth order method due to Wang and Liu (2010). We have tried to improve their performance by choosing the free parameters of each family using two different criteria.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.amc.2015.10.092
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2005012)
Funder
Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2005012)
Format
12 p.
Citation
Applied Mathematics and Computation 274 (2016) 762–773
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.