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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:scopusA modification of the classic conditions of Newton-Kantorovich for Newton's method
ArticleAbstract: We study the semilocal convergence of Newton's method in Banach spaces under a modification of the cPalabras claves:A priori error estimates, Hammerstein integral equation, Kantorovich's technique, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusA semilocal convergence result for Newton's method under generalized conditions of Kantorovich
ArticleAbstract: From Kantorovich's theory we establish a general semilocal convergence result for Newton's method baPalabras claves:A priori error estimates, Conservative problem, Majorizing sequence, Newton's method, semilocal convergence, The Newton-Kantorovich theoremAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusA variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
ArticleAbstract: We study nonlinear integral equations of mixed Hammerstein type using Newton's method as follows. WePalabras claves:Bratu's equation, Hammerstein's equation, Kantorovich's theorem, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.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:scopusAn optimal and efficient general eighth-order derivative free scheme for simple roots
ArticleAbstract: The main motivation of this study is to present an optimal scheme in a general way that can be appliPalabras claves:Computational order of convergence, nonlinear equations, Simple roots, Steffensen's type methodAutores:Behl R., Daniel González, Maroju P., Motsa S.S.Fuentes: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:scopus