On the semi-local convergence of the Homeier method in Banach space for solving equations | ||
| Computational Mathematics and Computer Modeling with Applications (CMCMA) | ||
| مقاله 8، دوره 1، شماره 1، شهریور 2022، صفحه 63-68 اصل مقاله (222.33 K) | ||
| نوع مقاله: Invited paper | ||
| شناسه دیجیتال (DOI): 10.52547/CMCMA.1.1.63 | ||
| نویسندگان | ||
| Samundra Regmi1؛ Ioannis Konstantinos Argyros* 2؛ Santhosh George3؛ Christopher I. Argyros4 | ||
| 1Learning Commons, University of North Texas at Dallas, Dallas, TX, USA | ||
| 2Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA | ||
| 3Department of Mathematical and Computational Sciences,National Institute of Technology Karnataka, India-575 025 | ||
| 4Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| semi-local convergence؛ Homeier method؛ iterative methods؛ Banach space؛ convergence criterion | ||
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آمار تعداد مشاهده مقاله: 154 تعداد دریافت فایل اصل مقاله: 157 |
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