Modified Chebyshev-Halley methods with sixth-order convergence
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Publication:2371479
DOI10.1016/j.amc.2006.10.018zbMath1118.65037OpenAlexW1964226382MaRDI QIDQ2371479
Publication date: 4 July 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.10.018
Related Items (12)
Eighth-order methods with high efficiency index for solving nonlinear equations ⋮ The Fibonacci family of iterative processes for solving nonlinear equations ⋮ An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros ⋮ An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis ⋮ Dynamics of a family of Chebyshev-Halley type methods ⋮ To the question of efficiency of iterative methods ⋮ Some higher-order modifications of Newton's method for solving nonlinear equations ⋮ Modified Ostrowski's method with eighth-order convergence and high efficiency index ⋮ Improving order and efficiency: Composition with a modified Newton's method ⋮ Some eighth-order root-finding three-step methods ⋮ On a Steffensen-Hermite method of order three ⋮ Zero-finder methods derived from Obreshkov's techniques
Cites Work
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- An improvement of the Euler-Chebyshev iterative method
- A modification of Newton method with third-order convergence
- A note on the Halley method in Banach spaces
- A local convergence theorem for the super-Halley method in a Banach space
- Geometric constructions of iterative functions to solve nonlinear equations
- A family of Chebyshev-Halley type methods in Banach spaces
- An acceleration of Newton's method: Super-Halley method
- A variant of Newton's method with accelerated third-order convergence
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