Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials
From MaRDI portal
Publication:370028
DOI10.1155/2013/536910zbMath1272.37022OpenAlexW2108200566WikidataQ58917068 ScholiaQ58917068MaRDI QIDQ370028
Alicia Cordero, Pura Vindel, Juan Ramón Torregrosa Sánchez
Publication date: 19 September 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/536910
Related Items (6)
Dynamics of the family of c-iterative methods ⋮ Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev's method on cubic polynomials ⋮ A complex dynamical approach of Chebyshev's method ⋮ Convergence regions for the Chebyshev-Halley family ⋮ Connectivity of the Julia set for the Chebyshev-Halley family on degree \(n\) polynomials ⋮ Study of a biparametric family of iterative methods
Cites Work
- Unnamed Item
- Unnamed Item
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basins of attraction for several methods to find simple roots of nonlinear equations
- A construction of attracting periodic orbits for some classical third-order iterative methods
- Dynamics of a new family of iterative processes for quadratic polynomials
- Attracting cycles for the relaxed Newton's method
- Complex dynamics of derivative-free methods for nonlinear equations
- Dynamics of a family of Chebyshev-Halley type methods
- On the dynamics of the Euler iterative function
- The Mandelbrot Set, the Farey Tree, and the Fibonacci Sequence
- Complex analytic dynamics on the Riemann sphere
- Period-doubling bifurcations in the family of Chebyshev–Halley-type methods
- Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method
This page was built for publication: Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials
