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Ball 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:scopusA 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: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 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 a class of boundary value problems using the shooting method
ArticleAbstract: We use Newton's method to approximate locally unique solutions for a class of boundary value problemPalabras claves:boundary value problem, Lipschitz condition, Newton's method, Shooting methodAutores:Argyros I.K., Daniel González, Gutiérrez J.M., 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: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: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 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 of Cauchy-type methods under hypotheses on the first derivative
ArticleAbstract: We present a local convergence analysis of Cauchy-type methods free of the second derivative using hPalabras claves:Cauchy's method, local convergence, Newton's methodAutores:Argyros I.K., Daniel GonzálezFuentes:scopus