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How to apply Newton's method to operators with unbounded second derivative
Conference ObjectAbstract: The problem of finding the roots of a nonlinear equation has a long history. Although some nonlinearPalabras claves:Kantorovich's conditions, majorizing sequences, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusExtended 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:scopusExtended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems
ArticleAbstract: The local convergence analysis of multi-step, high-order Jarratt-like schemes is extended for solvinPalabras claves:Banach space, derivative-free, Jarratt scheme, local convergence, multi-step schemeAutores:Argyros C., Argyros I.K., Argyros M., Daniel González, Johan CeballosFuentes:scopusExtending the applicability of Newton's method for a class of boundary value problems using the shooting method
ArticleAbstract: We use Newton's method to approximate locally unique solutions for a class of boundary value problemPalabras claves:boundary value problem, Lipschitz condition, Newton's method, Shooting methodAutores:Argyros I.K., Daniel González, Gutiérrez J.M., 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: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: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:scopusExtensions on a local convergence result by Dennis and Schnabel for Newton's method with applications
ArticleAbstract: The aim of this article is to extend the applicability of Newton's method involving k-Fréchet differPalabras claves:local of convergence, Newton's method, Order of convergenceAutores:Argyros I.K., Argyros M., Ceballos M., Daniel González, Johan CeballosFuentes: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:scopusFrom digital cinema to cloud computing in the film consumption of young Ecuadorians
ArticleAbstract: This research focuses on analysing how changes in cinematography since the advent of digital cinemaPalabras claves:Artistic value, CULTURAL POLICIES, Movie perceptions, Movie theatres, Seventh art, Virtual cinemaAutores:Batista A., Daniel González, María Hernández-HerreraFuentes:scopus