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Extended Comparative Study between Newton’s and Steffensen-like Methods with Applications
ArticleAbstract: Comparisons between Newton’s and Steffensen-like methods are given for solving systems of equationsPalabras claves:Banach space, Newton’s method, semi-local convergence, Steffensen-like methodAutores:Argyros C., Argyros I.K., Daniel González, Johan CeballosFuentes: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:scopusExpanding the applicability of an eighth-order method in banach space under weak conditions
Book PartAbstract: We present a local convergence analysis for an eighth-order convergent method in order to approximatPalabras claves:Banach space, Iterative method, Lipschitz constant, local convergence, Order of convergenceAutores:Argyros I.K., Behl R., Daniel González, Motsa S.S.Fuentes:scopus