Paper Info
Title
A note on “Some higher-order modifications of Newton’s method for solving nonlinear equations”
Abstract
In [YoonMee Ham, Changbum Chun, Sang-Gu Lee, Some higher-order modifications of Newtons method for solving nonlinear equations, J. Comput. Appl. Math., in press, doi:10.1016/j.cam.2007.11.018], a method to construct some higher order modifications of Newton’s method has been presented. In this paper, we show that the main result given by the authors is not accurate for p=1 and p=2. Some counterexamples are given to verify our analysis.
Year
DOI
Venue
2009
10.1016/j.amc.2008.10.053
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear equations,Iterative method,Newton’s method,Order of convergence,Counterexamples
Convergence (routing),Mathematical optimization,Nonlinear system,Mathematical analysis,Iterative method,Rate of convergence,Counterexample,Numerical analysis,Mathematics,Newton's method
Journal
Volume
Issue
ISSN
208
1
0096-3003
Citations 
PageRank 
References 
0
0.34
4
Authors
1
Name
Order
Citations
PageRank
Xiaojian Zhou1749.19