How to solve nonlinear equations when a third order method is not applicable.
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1
Universidad de La Rioja
info
ISSN: 0210-3923
Año de publicación: 1999
Volumen: 39
Número: 2
Páginas: 255-269
Tipo: Artículo
Otras publicaciones en: B I T-(Boletin Informativo de Telecomunicacion)
Resumen
In this paper, we use a one-parametric family of second-order iterations to solve a nonlinear operator equation in a Banach space. A Kantorovich-type convergence theorem is proved, so that the first Fréchet derivative of the operator satisfies a Lipschitz condition. We also give an explicit error bound.