On Halley-type iterations with free second derivative

DOI10.1016/j.cam.2004.02.020zbMath1053.65042OpenAlexW1999683862MaRDI QIDQ596220

Miguel A. Hernández, José Antonio Ezquerro

Publication date: 10 August 2004

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.2004.02.020

zbMATH Keywords

convergenceBanach spacesnonlinear operator equationHalley method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

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• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• A note on the Halley method in Banach spaces
• Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method

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