Dynamics of the family of c-iterative methods
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Publication:3451396
DOI10.1080/00207160.2014.893608zbMath1342.37049OpenAlexW2087134934MaRDI QIDQ3451396
Beatriz Campos, Pura Vindel, Alicia Cordero, Juan Ramón Torregrosa Sánchez
Publication date: 16 November 2015
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10234/132269
Numerical computation of solutions to single equations (65H05) Simulation of dynamical systems (37M05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (10)
New computational and statistical models in science and economics ⋮ Dynamics of Newton-like root finding methods ⋮ 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 ⋮ Dynamics of a multipoint variant of Chebyshev-Halley's family ⋮ Newton method for symmetric quartic polynomial ⋮ Study of iterative methods through the Cayley quadratic test ⋮ DYNAMICAL ANALYSIS TO EXPLAIN THE NUMERICAL ANOMALIES IN THE FAMILY OF ERMAKOV-KALITLIN TYPE METHODS ⋮ Behaviour of fixed and critical points of the \((\alpha,c)\)-family of iterative methods
Cites Work
- Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Basin attractors for various methods for multiple roots
- Dynamics of a new family of iterative processes for quadratic polynomials
- Families of rational maps and iterative root-finding algorithms
- Geometric constructions of iterative functions to solve nonlinear equations
- Chaos in King's iterative family
- Dynamics of a higher-order family of iterative methods
- Complex dynamics of derivative-free methods for nonlinear equations
- Dynamics of a family of Chebyshev-Halley type methods
- Complex analytic dynamics on the Riemann sphere
- A family of chebyshev-halley type methods
- A family of Chebyshev-Halley type methods in Banach spaces
- Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods
- Period-doubling bifurcations in the family of Chebyshev–Halley-type methods
- Dynamics in One Complex Variable. (AM-160)
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