On a characterization of some Newton-like methods of \(R\)-order at least three
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Publication:2488286
DOI10.1016/j.cam.2005.01.001zbMath1087.65057OpenAlexW2035340892MaRDI QIDQ2488286
Publication date: 25 August 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.01.001
numerical examplesHalley's methodBanach spaceNewton methodSemilocal convergencenonlinear operator equation \(R\)-order of convergence
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- Recurrence relations for rational cubic methods. II: The Chebyshev method
- Recurrence relations for the super-Halley method
- Indices of convexity and concavity. Application to Halley method
- On Halley's Iteration Method
- Quadratic equations and applications to Chandrasekhar's and related equations
- A Modified Babylonian Algorithm
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