Some variants of Chebyshev-halley methods free from second derivative

DOI10.1016/j.amc.2007.02.078zbMath1193.65053OpenAlexW1989881026MaRDI QIDQ990418

Changbum Chun

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.078

zbMATH Keywords

Newton's methoditerative methodsnonlinear equationsorder of convergenceChebyshev-halley methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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Cites Work

• Unnamed Item
• Unnamed Item
• On Halley-type iterations with free second derivative
• Modified Halley's method free from second derivative
• Modified Chebyshev's method free from second derivative for non-linear equations
• The Jarratt method in Banach space setting
• Some variant of Newton's method with third-order convergence.
• Second-derivative-free variant of the Chebyshev method for nonlinear equations
• On Newton-type methods with cubic convergence
• A family of Chebyshev-Halley type methods in Banach spaces
• An acceleration of Newton's method: Super-Halley method
• A variant of Newton's method with accelerated third-order convergence