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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: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: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: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:scopus