Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
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Publication:5928287
DOI10.1016/S0377-0427(99)00347-7zbMath0985.65057MaRDI QIDQ5928287
Miguel A. Hernández, M. A. Salanova
Publication date: 8 May 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convergenceerror estimatesChebyshev methodnonlinear equations in Banach spacesnonlinear integral equationsrecurrence relationthird-order methods
Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- Recurrence relations for rational cubic methods. II: The Chebyshev method
- Recurrence relations for rational cubic methods. I: The Halley method
- Chebyshev method and convexity
- Results on the Chebyshev method in banach spaces
- On Halley's Iteration Method
- Accessibility Of Solutions By Newton's Method
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