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Understanding Banach Spaces(3)
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scopus(14)
Ball 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:scopusBall convergence for combined three-step methods under generalized conditions in banach space
ArticleAbstract: We give a local convergence analysis for an eighth-order convergent method in order to approximate aPalabras claves:Banach space, Iterative method, Lipschitz constant, local convergence, Order of convergenceAutores:Argyros I.K., Behl R., Daniel González, 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 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: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:scopusOn the local convergence of Newton's method under generalized conditions of Kantorovich
ArticleAbstract: Following an idea similar to that given by Dennis and Schnabel (1996) in [2], we prove a local convePalabras claves:local convergence, Newton's method, Order of convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusLocal convergence analysis of inexact Gauss–Newton method for singular systems of equations under majorant and center-majorant condition
ArticleAbstract: We present a new semi-local convergence analysis of the Gauss–Newton method for solving convex compoPalabras claves:Center-majorant function, Convergence ball, Gauss–Newton method, local convergence, Majorant functionAutores:Argyros I.K., Daniel GonzálezFuentes:scopusLocal convergence comparison between frozen Kurchatov and Schmidt–Schwetlick–Kurchatov solvers with applications
ArticleAbstract: In this work we are going to use the Kurchatov–Schmidt–Schwetlick-like solver (KSSLS) and the KurchaPalabras claves:Banach space, Kurchatov solver, local convergence, Schmidt–Schwetlick solverAutores:Argyros I.K., Argyros M., Daniel González, Magreñán A.A., Moysi A., Sarría Í.Fuentes:scopusLocal convergence for multistep high order methods under weak conditions
ArticleAbstract: 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 González, Motsa S.S.Fuentes:scopus