Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions
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Publication:2410875
DOI10.1007/s10092-015-0163-yzbMath1377.65055OpenAlexW2249088019MaRDI QIDQ2410875
Santhosh George, Ioannis K. Argyros
Publication date: 19 October 2017
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-015-0163-y
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Cites Work
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- Ball comparison between two optimal eight-order methods under weak conditions
- Recurrence relations for rational cubic methods. I: The Halley method
- The Jarratt method in Banach space setting
- Some variant of Newton's method with third-order convergence.
- Dynamics of the King and Jarratt iterations
- Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
- Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions
- Chaos in King's iterative family
- A family of modified Ostrowski methods with accelerated sixth order convergence
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- Computational Methods in Nonlinear Analysis
- Convergence and Applications of Newton-type Iterations
- Optimal Order of One-Point and Multipoint Iteration
- A Family of Fourth Order Methods for Nonlinear Equations
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