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Ball 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 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: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:scopusMajorizing sequences for Newton's method under centred conditions for the derivative
ArticleAbstract: We present semi-local and local convergence results for Newton's method in order to approximate a loPalabras claves:Banach space, Fréchet derivative, generalized Lipschitz condition, Majorizing sequence, Newton's method, semi-local convergenceAutores:Argyros I.K., Daniel González, Magreñán A.A.Fuentes: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: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 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:scopus