R-order of convergence for the improved multi-point Chebyshev-like methods under generalized continuity condition

DOI10.1080/00207160.2019.1599867zbMath1480.65135OpenAlexW2924318352MaRDI QIDQ5030531

Jisheng Kou, Xiuhua Wang

Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1599867

zbMATH Keywords

R-order of convergencenonlinear equation in Banach spacegeneralized continuity conditionmulti-point Chebyshev-like methods

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Semilocal convergence of multi-point improved super-Halley-type methods without the second derivative under generalized weak condition
• Local convergence of a family of iterative methods for Hammerstein equations
• Semilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity condition
• A modification of Newton method with third-order convergence
• Second-derivative-free variant of the Chebyshev method for nonlinear equations
• Extending the applicability of the local and semilocal convergence of Newton's method
• On the \(R\)-order of the Halley method
• Some modification of Newton's method by the method of undetermined coefficients
• On a third order family of methods for solving nonlinear equations
• On a third-order Newton-type method free of bilinear operators
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type
• Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method

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