<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed. Numerical experiments show that our procedure gives estimates which are very close to the maximum convergence radii.</p></abstract>

Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed. Numerical experiments show that our procedure gives estimates which are very close to the maximum convergence radii.

Local Convergence of Exquerro-Hernandez Method

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

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 of Exquerro-Hernandez Method"}

Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence...

Local Convergence of Exquerro-Hernandez Method

Published Online: Sep 24, 2016

Page range: 159 - 166

Received: Apr 18, 2016

Accepted: May 05, 2016

DOI: https://doi.org/10.1515/awutm-2016-0009

Keywords
Nonlinear equation, Iterative method, Local convergence, Ezquerro-Hernandez iteration, Local convergence radius

© 2016 Annals of West University of Timisoara - Mathematics

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

Local Convergence of Exquerro-Hernandez Method

Published Online: Sep 24, 2016

Page range: 159 - 166

Received: Apr 18, 2016

Accepted: May 05, 2016

DOI: https://doi.org/10.1515/awutm-2016-0009

KeywordsNonlinear equation, Iterative method, Local convergence, Ezquerro-Hernandez iteration, Local convergence radius

© 2016 Annals of West University of Timisoara - Mathematics

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

Keywords
Nonlinear equation, Iterative method, Local convergence, Ezquerro-Hernandez iteration, Local convergence radius