Local convergence radius for the Mann-type iteration

Author:

Măruşter Ştefan1

Affiliation:

1. Department of Computer Science, West University of Timisoara, B-l V. Parvan nr. 4, Timisoara, Romania

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Local convergence of generalized Mann iteration;Numerical Algorithms;2017-03-09

2. Local Convergence of Exquerro-Hernandez Method;Annals of West University of Timisoara - Mathematics and Computer Science;2016-07-01

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