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scopus(8)
Extending 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: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:scopusNew improvement of the domain of parameters for newton's method
ArticleAbstract: There is a need to extend the convergence domain of iterative methods for computing a locally uniquePalabras claves:domain, IMPROVEMENT, Newton's methodAutores:Amorós C., Argyros I.K., Daniel González, Magreñán A.A., Regmi S., Sarría Í.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 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: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:scopusLocal convergence of accelerated cauchy-Type methods
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