A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods

We present a semilocal convergence analysis for a uniparametric family of efficient secant-like methods (including the secant and Kurchatov method as special cases) in a Banach space setting (Ezquerro et al., 2000–2012). Using our idea of recurrent functions and tighter majorizing sequences, we prov...

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Bibliographic Details
Main Authors: I. K. Argyros, D. González, Á. A. Magreñán
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/467980