Reduced recurrence relations for the Chebyshev method

DOI10.1023/A:1022641601991zbMath0932.65066OpenAlexW49020974MaRDI QIDQ1265062

Miguel A. Hernández

Publication date: 2 March 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022641601991

zbMATH Keywords

Banach spacesChebyshev methodthird-order methodsNewton methodrecurrence relationsnonlinear operator equationHalley methods

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 note on Halley's method
• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• A local convergence theorem for the super-Halley method in a Banach space
• Results on the Chebyshev method in banach spaces
• A family of Chebyshev-Halley type methods in Banach spaces
• The Kantorovich Theorem for Newton's Method

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