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Ball convergence theorem for inexact Newton methods in Banach space

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Publication:5029820
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DOI10.37193/CMI.2020.02.01zbMATH Open1499.65202OpenAlexW3141203138MaRDI QIDQ5029820

Santhosh George, Ioannis K. Argyros

Publication date: 14 February 2022

Published in: Creative Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37193/cmi.2020.02.01



zbMATH Keywords

Banach spacelocal convergenceFréchet-derivativehigh convergence order method


Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions to equations with nonlinear operators (65J15)



Related Items (4)

Ball convergence for Traub-Steffensen like methods in Banach space ⋮ Ball convergence of the Newton-Gauss method in Banach space ⋮ The convergence ball of Newton-like methods in Banach space and applications ⋮ Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative






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