On the semilocal convergence of Newton-type methods, when the derivative is not continuously invertible

We provide a semilocal convergence analysis for Newton-type methods to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The Frechet-derivative of the operator involved is not necessarily continuous invertible. This way we extend the applicability of Newton-typ...

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Auteurs principaux: Argyros,Ioannis K, Hilout,Saïd
Langue:English
Publié: Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
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Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300001
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