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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 usage of Newton's method with applications to the solution of Bratu's equation
ArticleAbstract: We use Newton's method to solve previously unsolved problems, expanding the applicability of the metPalabras claves:Bratu, convergence, NewtonAutores:Argyros I.K., Daniel GonzálezFuentes:scopusLocal convergence for three-step eighth- order method under weak conditions
Book PartAbstract: We present a local convergence analysis for an eighth-order convergent method in order to find a solPalabras claves:Banach space, Iterative method, Lipschitz constant, local convergence, Order of convergenceAutores:Argyros I.K., Behl R., Daniel GonzálezFuentes:scopusLocal convergence of Cauchy-type methods under hypotheses on the first derivative
ArticleAbstract: We present a local convergence analysis of Cauchy-type methods free of the second derivative using hPalabras claves:Cauchy's method, local convergence, Newton's methodAutores:Argyros I.K., Daniel GonzálezFuentes:scopusLocal convergence of a one parameter fourth-order jarratt-type method in banach spaces
ArticleAbstract: We present a local convergence analysis of a one parameter Jarratt- type method. We use this methodPalabras claves:Banach space, local convergence, Newton's method, Radius of convergenceAutores:Argyros I.K., Daniel González, Khattri S.K.Fuentes:scopusUnified majorizing sequences for Traub-type multipoint iterative procedures
ArticleAbstract: We present a unified approach to generating majorizing sequences for multipoint iterative proceduresPalabras claves:Banach space, Divided difference, Freéchet derivative, Majorizing sequence, Multipoint iterative procedure, semilocal convergenceAutores:Argyros I.K., Daniel GonzálezFuentes:scopus