Dynamics and local convergence of a family of derivative-free iterative processes

DOI10.1016/J.CAM.2018.08.032zbMath1432.65066OpenAlexW2889763175MaRDI QIDQ2423562

M. J. Rubio, Ángel Alberto Magreñán, Miguel Ángel Hernández-Verón

Publication date: 20 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.08.032

zbMATH Keywords

local convergenceiterative processesdivided differencesSteffensen methoditerative processes derivative-free

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

An improvement of derivative-free point-to-point iterative processes with central divided differences ⋮ A significant improvement of a family of secant-type methods ⋮ Special issue: Selected papers of CMMSE

Cites Work

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• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Convergence analysis of the secant type methods
• The convergence ball of the secant method under Hölder continuous divided differences
• Optimal Order of One-Point and Multipoint Iteration

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