Construction of majorizing sequences for operators with unbounded second derivative

Ezquerro Fernández, José Antonio; González Sánchez, Daniel; Hernández Verón, Miguel Angel

Construction of majorizing sequences for operators with unbounded second derivative

Buch:

Eleventh International Conference Zaragoza-Pau on Applied Mathematics and Statistics

Verlag: Universidad de Zaragoza

ISBN: 9788415538158

Datum der Publikation: 2012

Seiten: 123-132

Art: Buch-Kapitel

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Projekte im Zusammenhang

Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

Regiones de accesibilidad y optimización de procesos iterativos para resolver ecuaciones no lineales. Aplicaciones

2009/00009/001

Zusammenfassung

The aim of this paper is to construct majorizing sequences for Newton’smethod in Banach spaces, when the second Fréchet derivative of the operator involved is unbounded, and prove then the semilocal convergence of the method. The new results are illustrated with a nonlinear integral equation of mixed Hammerstein type.