Third-degree anomalies of Traub's method
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Publication:313660
DOI10.1016/j.cam.2016.01.060zbMath1468.65055OpenAlexW2273548430MaRDI QIDQ313660
Ioannis K. Argyros, Alicia Cordero, Juan Ramón Torregrosa Sánchez, Ángel Alberto Magreñán
Publication date: 12 September 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.01.060
stabilitybasin of attractionnonlinear equationsmatrix equationsparameter planeTraub's iterative method
Related Items (5)
On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ Unnamed Item ⋮ Editorial: Mathematical modeling and computational methods ⋮ On the complexity of extending the convergence region for Traub's method
Cites Work
- Unnamed Item
- Different anomalies in a Jarratt family of iterative root-finding methods
- Basin attractors for various methods
- Computing real square roots of a real matrix
- On the iteration of a rational function: Computer experiments with Newton's method
- On two families of high order Newton type methods
- Dynamics of a new family of iterative processes for quadratic polynomials
- Chaotic dynamics of a third-order Newton-type method
- Chaos in King's iterative family
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- Dynamics of a family of Chebyshev-Halley type methods
- Complex analytic dynamics on the Riemann sphere
- On the Newton Method for the Matrix Pth Root
- NEWTON'S VERSUS HALLEY'S METHOD: A DYNAMICAL SYSTEMS APPROACH
- Study of the dynamics of third-order iterative methods on quadratic polynomials
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