Third-order iterative methods for operators with bounded second derivative

DOI10.1016/S0377-0427(97)00076-9zbMath0891.65064MaRDI QIDQ1372034

Miguel A. Hernández, José Manuel Gutiérrez Jimenez

Publication date: 1 July 1998

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

zbMATH Keywords

convergenceBanach spacesChebyshev methodthird-order methodsrecurrence relationssuper-Halley methodnonlinear operator equations

Mathematics Subject Classification ID

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

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Cites Work

• 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
• On the method of tangent hyperbolas in Banach spaces
• A note on the Halley method in Banach spaces
• A local convergence theorem for the super-Halley method in a Banach space
• Results on the Chebyshev method in banach spaces
• On Halley's Iteration Method
• Quadratic equations and applications to Chandrasekhar's and related equations
• On the Convergence of Halley's Method
• A family of chebyshev-halley type methods
• A family of Chebyshev-Halley type methods in Banach spaces
• Resolution of quadratic equations in banach spaces
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