Numerical Algorithms

, Volume 59, Issue 4, pp 505–521 | Cite as

Improved local analysis for a certain class of iterative methods with cubic convergence

  • Hongmin Ren
  • Ioannis K. Argyros
Original Paper


We use Lipschitz and center-Lipschitz conditions to provide an improved local convergence analysis for a certain class of iterative methods with cubic order of convergence. It turns out that under the same computational cost as before, we obtain a larger radius of convergence and tighter error bounds. Numerical examples are also provided in this study.


Banach space Iterative methods Local convergence Radius of convergence Convergence ball 

Mathematics Subject Classifications (2010)

65G99 65K10 65B05 47H17 49M15 


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Copyright information

© Springer Science+Business Media, LLC. 2011

Authors and Affiliations

  1. 1.College of Information and ElectronicsHangzhou PolytechnicHangzhouPeoples Republic of China
  2. 2.Department of Mathematical SciencesCameron UniversityLawtonUSA

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