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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:scopusBall comparison between frozen Potra and Schmidt–Schwetlick schemes with dynamical analysis
Conference ObjectAbstract: In this article, we propose a new research related to the convergence of the frozen Potra and SchmidPalabras claves:Autores:Argyros I.K., Argyros M., Daniel González, Magreñán A.A., Moysi A., Sarría Í.Fuentes: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: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: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 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: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:scopusNewton’s method for convex optimization
Book PartAbstract: In this chapter we deal with the convex optimization problem (COP). Using the generalized-Newton’s aPalabras claves:Autores:Argyros I.K., Daniel GonzálezFuentes: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:scopus