<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Local convergence radius for the Mann-type iteration

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

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Local convergence radius for the Mann-type iteration"}

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...

Local convergence radius for the Mann-type iteration

Online veröffentlicht: 09. Apr. 2016

Seitenbereich: 109 - 120

Eingereicht: 10. Dez. 2015

Akzeptiert: 18. März 2016

DOI: https://doi.org/10.1515/awutm-2015-0018

Schlüsselwörter
Mann-type iteration, Local convergence radius

© 2015 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Local convergence radius for the Mann-type iteration

Online veröffentlicht: 09. Apr. 2016

Seitenbereich: 109 - 120

Eingereicht: 10. Dez. 2015

Akzeptiert: 18. März 2016

DOI: https://doi.org/10.1515/awutm-2015-0018

SchlüsselwörterMann-type iteration, Local convergence radius

© 2015 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
Mann-type iteration, Local convergence radius