Semilocal convergence analysis on the modifications for Chebyshev-Halley methods under generalized condition

DOI10.1016/j.amc.2016.01.035zbMath1410.65179OpenAlexW2285377116MaRDI QIDQ671170

Xiuhua Wang, Jisheng Kou

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.01.035

zbMATH Keywords

semilocal convergenceLipschitz continuityChebyshev-Halley methodsgeneralized conditionnonlinear equation in Banach space

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (3)

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ Convergence for variants of Chebyshev–Halley methods using restricted convergence domains ⋮ On the semi-local convergence analysis of higher order iterative method in two folds

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
• Reduced recurrence relations for the Chebyshev method
• A note on the Halley method in Banach spaces
• On the \(R\)-order of the Halley method
• Results on the Chebyshev method in banach spaces
• A family of Chebyshev-Halley type methods in Banach spaces
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type
• Chebyshev's approximation algorithms and applications

This page was built for publication: Semilocal convergence analysis on the modifications for Chebyshev-Halley methods under generalized condition