<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study. </p></abstract>

In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

Department of Mathematical Sciences, Cameron University Lawton, OK 73505,

Department of Mathematical and Computational Sciences, NIT Karnataka, 575 025,

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in...

Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

Published Online: Dec 30, 2016

Page range: 37 - 46

Received: Oct 16, 2016

Accepted: Feb 12, 2016

DOI: https://doi.org/10.1515/awutm-2016-0013

Keywords
Newton-type method, radius of convergence, local convergence, restricted convergence domains.

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

Published Online: Dec 30, 2016

Page range: 37 - 46

Received: Oct 16, 2016

Accepted: Feb 12, 2016

DOI: https://doi.org/10.1515/awutm-2016-0013

KeywordsNewton-type method, radius of convergence, local convergence, restricted convergence domains.

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Newton-type method, radius of convergence, local convergence, restricted convergence domains.