Analysis of semilocal convergence for ameliorated super-Halley methods with less computation for inversion

DOI10.1112/S1461157016000395zbMath1359.65090OpenAlexW2527947006MaRDI QIDQ2970991

Xiuhua Wang, Jisheng Kou

Publication date: 4 April 2017

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157016000395

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• 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
• Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
• A family of Chebyshev-Halley type methods in Banach spaces
• A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative

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