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Local convergence of Newton's method using Kantorovich convex majorants

We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the majorant function with the operator involved....

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Autor principal: Ioannis K. Argyros
Formato: Artigo
Idioma:Inglês
Publicado em: Publishing House of the Romanian Academy 2010-08-01
Colecção:Journal of Numerical Analysis and Approximation Theory
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Acesso em linha:https://ictp.acad.ro/jnaat/journal/article/view/1029
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