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A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
ArticleAbstract: We study nonlinear integral equations of mixed Hammerstein type using Newton's method as follows. WePalabras claves:Bratu's equation, Hammerstein's equation, Kantorovich's theorem, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusMajorizing sequences for Newton's method from initial value problems
ArticleAbstract: The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton'sPalabras claves:Bratu's equation, Kantorovich's technique, Majorizing sequence, Newton's method, Order of convergence, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopus