Some second-derivative-free variants of super-Halley method with fourth-order convergence

DOI10.1016/j.amc.2007.05.003zbMath1132.65041OpenAlexW2073246098WikidataQ126263575 ScholiaQ126263575MaRDI QIDQ2470160

YoonMee Ham, Changbum Chun

Publication date: 13 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.05.003

zbMATH Keywords

Newton's methodnumerical examplesiterative methodssuper-Halley methodnonlinear equationsorder of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (17)

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Cites Work

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• A variant of super-Halley method with accelerated fourth-order convergence
• Some variants of Chebyshev-halley methods free from second derivative
• A local convergence theorem for the super-Halley method in a Banach space
• A new continuation Newton-like method and its deformation
• A one-parameter family of third-order methods to solve nonlinear equations
• A family of modified super-Halley methods with fourth-order convergence
• Modified efficient variant of super-Halley method
• Some second-derivative-free variants of super-Halley method with fourth-order convergence
• An acceleration of Newton's method: Super-Halley method

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