Title
Modified Chebyshev–Halley methods free from second derivative
Abstract
In this paper, we present some variants of Chebyshev–Halley methods free from second derivative. It is shown that the order of convergence of the proposed methods is three at least. There are two functions and one first derivative evaluations per iteration. Several numerical examples are given to demonstrate the performance of the presented methods by comparing with some other methods.
Year
DOI
Venue
2008
10.1016/j.amc.2008.05.092
Applied Mathematics and Computation
Keywords
Field
DocType
Iterative method,Newton’s method,Nonlinear equations,Chebyshev–Halley methods,Order of convergence
Convergence (routing),Mathematical optimization,Second derivative,Mathematical analysis,Iterative method,Derivative,Chebyshev filter,Rate of convergence,Numerical analysis,Mathematics,Newton's method
Journal
Volume
Issue
ISSN
203
2
0096-3003
Citations 
PageRank 
References 
6
0.62
4
Authors
1
Name
Order
Citations
PageRank
Xiaojian Zhou1749.19