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On the semi-local convergence of the Homeier method in Banach space for solving equations

Publish place: Computational Mathematics and Computer Modeling with Applications، Vol: 1، Issue: 1
Publish Year: 1401
Type: Journal paper
Language: English
View: 264

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Link to this Paper:
https://civilica.com/doc/1559247

Document National Code:

JR_CMCMA-1-1_007

Index date: 24 November 2022

On the semi-local convergence of the Homeier method in Banach space for solving equations abstract

In this paper we consider the semi-local convergence analysis of the Homeier method for solving nonlinear equation in Banach space. As far as we know no semi-local convergence has been given for the Homeier under Lipschitz conditions. Our goal is to extend the applicability of the Homeier method in the semi-local convergence under these conditions. We use majorizing sequences and conditions only on the first derivative which appear on the method for proving our results. Numerical experiments are provided in this study.

On the semi-local convergence of the Homeier method in Banach space for solving equations Keywords:

semi-local convergence , Homeier method , iterative methods , Banach space , convergence criterion

On the semi-local convergence of the Homeier method in Banach space for solving equations authors

Samundra Regmi

Learning Commons, University of North Texas at Dallas, Dallas, TX, USA

Ioannis Konstantinos Argyros

Department of Mathematical Sciences, Cameron University, Lawton, OK ۷۳۵۰۵, USA

Santhosh George

Department of Mathematical and Computational Sciences,National Institute of Technology Karnataka, India-۵۷۵ ۰۲۵

Christopher I. Argyros

Department of Computing and Technology, Cameron University, Lawton, OK ۷۳۵۰۵, USA