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A modification of the classic conditions of Newton-Kantorovich for Newton's method
ArticleAbstract: We study the semilocal convergence of Newton's method in Banach spaces under a modification of the cPalabras claves:A priori error estimates, Hammerstein integral equation, Kantorovich's technique, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusOn the local convergence of Newton's method under generalized conditions of Kantorovich
ArticleAbstract: Following an idea similar to that given by Dennis and Schnabel (1996) in [2], we prove a local convePalabras claves:local convergence, Newton's method, Order of convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopus