Developments of Newton’s Method under Hölder Conditions

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Published: Jun 13, 2022
Vol. 2 (2022), 18
DOI: https://doi.org/10.28924/ada/ma.2.18

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Samundra Regmi
Learning Commons, University of North Texas at Dallas, Dallas, TX, USA
Ioannis K. Argyros
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
Santhosh George
Department of Mathematical and Computational Sciences,National Institute of Technology Karnataka, India-575 025
Christopher I. Argyros
Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA

Abstract

The semi-local convergence criteria for Newton’s method are weakened without new conditions. Moreover, tighter error distances are provided as well as a more precise information on the location of the solution.

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Vol. 2 (2022)
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