Increasing the applicability of Steffensen's method

DOI10.1016/j.jmaa.2014.04.042zbMath1307.65065OpenAlexW2056134212MaRDI QIDQ488553

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.042

zbMATH Keywords

semilocal convergenceSteffensen's methoddomain of parametersnonlinear system of equationsmajorant principle of Kantorovich

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (6)

On semilocal convergence of two step Kurchatov method ⋮ A study of optimization for Steffensen-type methods with frozen divided differences ⋮ Nonlinear process monitoring based on generic reconstruction-based auto-associative neural network ⋮ On semilocal convergence of three-step Kurchatov method under weak condition ⋮ Three step Kurchatov method for nondifferentiable operators ⋮ Local and semilocal convergence for Kurchatov method under \(\omega\)-continuity conditions

Cites Work

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• A two-step Steffensen's method under modified convergence conditions
• A class of quasi-Newton generalized Steffensen methods on Banach spaces
• An hybrid method that improves the accessibility of Steffensen's method
• On Steffensen's method on Banach spaces
• A Steffensen's type method in Banach spaces with applications on boundary-value problems
• Convergence and numerical analysis of a family of two-step Steffensen's methods
• On a Steffensen's type method and its behavior for semismooth equations
• On Steffensen–s Method

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