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A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods
ArticleAbstract: We present a semilocal convergence analysis for a uniparametric family of efficient secant-like methPalabras claves:Autores:Argyros I.K., Daniel González, Magreñán A.A.Fuentes:scopusExtending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces
ArticleAbstract: We extend the applicability of Newton's method for k-Fréchet differentiable operators in a Banach spPalabras claves:A priori error estimates, Hammerstein integral equation, Majorizing sequence, Newton's method, semilocal convergence, The Newton-Kantorovich theoremAutores:Argyros I.K., Daniel GonzálezFuentes:scopusExtending the applicability of Newton’s method by improving a local result due to Dennis and Schnabel
ArticleAbstract: We present a tighter local convergence result for Newton’s method under generalized conditions of KaPalabras claves:local convergence, Newton’s method, Order convergenceAutores:Argyros I.K., Daniel GonzálezFuentes:scopusMajorizing sequences for Newton's method under centred conditions for the derivative
ArticleAbstract: We present semi-local and local convergence results for Newton's method in order to approximate a loPalabras claves:Banach space, Fréchet derivative, generalized Lipschitz condition, Majorizing sequence, Newton's method, semi-local convergenceAutores:Argyros I.K., Daniel González, Magreñán A.A.Fuentes:scopus