A Comparison Study of the Classical and Modern Results of Semi-Local Convergence of Newton-Kantorovich Iterations

There are a plethora of semi-local convergence results for Newton’s method (NM). These results rely on the Newton–Kantorovich criterion. However, this condition may not be satisfied even in the case of scalar equations. For this reason, we first present a comparative study of established classical a...

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Bibliographic Details
Main Authors: Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros
Format: Artigo
Language:Inglês
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
iterative methods
Banach space
semi-local convergence
Online Access:https://www.mdpi.com/2227-7390/10/8/1225
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