Title
A class of Newton’s methods with third-order convergence
Abstract
In this work, a class of iterative Newton’s methods, known as power mean Newton’s methods, is proposed. Some known results can be regarded as particular cases. It is shown that the order of convergence of the proposed methods is 3. Numerical results are given to verify the theory and demonstrate the performance.
Year
DOI
Venue
2007
10.1016/j.aml.2006.09.010
Applied Mathematics Letters
Keywords
Field
DocType
Variants of Newton’s method,Simple roots,Power mean,Cubic convergence,Generalization
Convergence (routing),Mathematical optimization,Mathematical analysis,Iterative method,Newton's method in optimization,Rate of convergence,Local convergence,Third order convergence,Mathematics,Calculus,Newton's method,Steffensen's method
Journal
Volume
Issue
ISSN
20
9
0893-9659
Citations 
PageRank 
References 
4
0.46
3
Authors
1
Name
Order
Citations
PageRank
Xiaojian Zhou1749.19