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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Päätekijät: Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: MDPI AG 2022-04-01
Sarja:Mathematics
Aiheet:
iterative methods
Banach space
semi-local convergence
Linkit:https://www.mdpi.com/2227-7390/10/8/1225
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