On global convergence for an efficient third-order iterative process

DOI10.1016/j.cam.2021.113417zbMath1481.65081OpenAlexW3125890687MaRDI QIDQ2059611

Miguel Ángel Hernández-Verón, José Antonio Ezquerro, Ángel Alberto Magreñán

Publication date: 14 December 2021

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.2021.113417

zbMATH Keywords

global convergencerecurrence relationsconvergence ballthird-order iterative process

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations

Cites Work

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• An optimization of Chebyshev's method
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• Families of Newton-like methods with fourth-order convergence
• Mild Differentiability Conditions for Newton's Method in Banach Spaces
• Newton’s Method: an Updated Approach of Kantorovich’s Theory
• Chebyshev's approximation algorithms and applications

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