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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:scopusConvergence and dynamics of a higher-order method
ArticleAbstract: Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, anPalabras claves:convergence, Dynamics, High-order iterative methodAutores:Argyros I.K., Daniel González, Magreñán A.A., Moysi A., Regmi S., Sicilia J.A.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 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: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:scopus