Convergence for modified Halley-like methods with less computation of inversion

DOI10.1080/10236198.2012.761979zbMath1278.65081OpenAlexW1970359481MaRDI QIDQ2855201

Xiuhua Wang, Jisheng Kou

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.761979

zbMATH Keywords

nonlinear equations in Banach spacessemilocal convergenceEzquerro and Hernández-methodHalley-like methodshigh speed convergence

Mathematics Subject Classification ID

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

Related Items (5)

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ Ball convergence theorems for eighth-order variants of Newton's method under weak conditions ⋮ Ball comparison between two optimal eight-order methods under weak conditions ⋮ Local results for an iterative method of convergence order six and efficiency index 1.8171 ⋮ On the semi-local convergence analysis of higher order iterative method in two folds

Cites Work

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• On Halley-type iterations with free second derivative
• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• Semilocal convergence for Halley's method under weak Lipschitz condition
• Recurrence relations for the super-Halley method
• A note on the Halley method in Banach spaces
• Recurrence relations for Chebyshev-type methods
• The improvements of Chebyshev-Halley methods with fifth-order convergence
• Some variants of Chebyshev-Halley methods with fifth-order convergence

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