A family of Chebyshev-Halley type methods in Banach spaces
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Publication:4346946
DOI10.1017/S0004972700030586zbMath0893.47043MaRDI QIDQ4346946
José Manuel Gutiérrez Jimenez, Miguel A. Hernández
Publication date: 24 August 1998
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) 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
- On Halley's Iteration Method
- On the Convergence of Halley's Method
- A family of chebyshev-halley type methods
- Accessibility Of Solutions By Newton's Method
- A Unified Convergence Theory for a Class of Iterative Processes
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