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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:scopusBall convergence for a derivative free method with memory for solving nonlinear equations
ArticleAbstract: In this paper, we present a local convergence analysis of a derivative free methods of order 1 + √2iPalabras claves:Convergence order, local convergence, Two-step method with memoryAutores:Argyros I.K., Behl R., Daniel González, Motsa S.S.Fuentes:scopusBall convergence for a three-step one parameter efficient method in banach space under generalized conditions
Book PartAbstract: A local convergence analysis for an eighth-order convergent method is given in order to approximatePalabras claves:Banach space, Iterative method, Lipschitz constant, local convergence, Order of convergenceAutores:Argyros I.K., Behl R., Daniel GonzálezFuentes: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 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: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:scopusImproved Convergence Ball and Error Analysis of Müller's Method
ArticleAbstract: We present an improved convergence analysis of Müller's method for solving nonlinear equation underPalabras claves:Free-derivative method, Lipschitz conditions, Local convergence analysis, Müller's methodAutores:Argyros I.K., Daniel González, Ren H.Fuentes:scopusNew improvement of the domain of parameters for newton's method
ArticleAbstract: There is a need to extend the convergence domain of iterative methods for computing a locally uniquePalabras claves:domain, IMPROVEMENT, Newton's methodAutores:Amorós C., Argyros I.K., Daniel González, Magreñán A.A., Regmi S., Sarría Í.Fuentes:scopusNewton’s method for convex optimization
Book PartAbstract: In this chapter we deal with the convex optimization problem (COP). Using the generalized-Newton’s aPalabras claves:Autores:Argyros I.K., Daniel GonzálezFuentes: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