About this article
Published Online: Apr 09, 2016
Page range: 109 - 120
Received: Dec 10, 2015
Accepted: Mar 18, 2016
DOI: https://doi.org/10.1515/awutm-2015-0018
Keywords
© 2015 Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
A procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method. Numerical experiments are presented showing the efficiency of the proposed procedure in comparison with other known methods. In some cases our procedure gives the maximum local convergence radius.