Variants of a classic Traub's result

DOI10.1016/j.camwa.2010.09.028zbMath1207.65050OpenAlexW2059751614MaRDI QIDQ630675

Miquel Grau-Sánchez, José Antonio Ezquerro, Natalia Romero, Miguel A. Hernández

Publication date: 19 March 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.028

zbMATH Keywords

iterative methodsorder of convergenceefficiency indexnonlinear scalar equationstraub's result

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

On the efficiency of two variants of Kurchatov's method for solving nonlinear systems ⋮ Analysing the efficiency of some modifications of the secant method ⋮ A wideband FMBEM for 2D acoustic design sensitivity analysis based on direct differentiation method ⋮ A convergence improvement factor and higher-order methods for solving nonlinear equations ⋮ A comparative analysis of the relative efficacy of vector-control strategies against dengue fever ⋮ Traub's accelerating generator of iterative root-finding methods ⋮ Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations

Cites Work

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• Some variants of the Chebyshev–Halley family of methods with fifth order of convergence
• On the convergence of two-step Newton-type methods of high efficiency index
• A variant of Newton's method with accelerated third-order convergence

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