Semilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity condition

DOI10.1007/s11075-016-0165-0zbMath1365.65156OpenAlexW2467504057MaRDI QIDQ513655

Jisheng Kou, Xiuhua Wang

Publication date: 7 March 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0165-0

zbMATH Keywords

numerical examplesemilocal convergenceBanach spacenonlinear operator equationorder of convergenceroot-finding multi-point methods

Mathematics Subject Classification ID

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

Related Items (3)

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ On the semi-local convergence analysis of higher order iterative method in two folds ⋮ R-order of convergence for the improved multi-point Chebyshev-like methods under generalized continuity condition

Cites Work

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• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• Recurrence relations for the super-Halley method
• Second-derivative-free variant of the Chebyshev method for nonlinear equations
• On the \(R\)-order of the Halley method
• On the convergence of trust region algorithms for unconstrained minimization without derivatives
• Results on the Chebyshev method in banach spaces
• 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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