Unified semi-local convergence for \(k\)-step iterative methods with flexible and frozen linear operator

DOI10.3390/MATH6110233zbMath1468.65050OpenAlexW2898834108WikidataQ129001090 ScholiaQ129001090MaRDI QIDQ1634689

Santhosh George, Ioannis K. Argyros

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110233

zbMATH Keywords

Banach spacesemi-local convergenceLipschitz conditions\(k\)-step method

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10)

Cites Work

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• An efficient fourth order weighted-Newton method for systems of nonlinear equations
• Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation
• On the semilocal convergence of efficient Chebyshev-secant-type methods
• Iterative Methods and Their Dynamics with Applications
• On two high‐order families of frozen Newton‐type methods

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