Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
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Publication:2229894
DOI10.1016/j.matcom.2014.04.006OpenAlexW2062082259MaRDI QIDQ2229894
José Manuel Gutiérrez Jimenez, Alicia Cordero, Juan Ramón Torregrosa Sánchez, Ángel Alberto Magreñán
Publication date: 18 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/56197
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Cites Work
- Unnamed Item
- Unnamed Item
- Approximation of artificial satellites' preliminary orbits: the efficiency challenge
- 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
- A construction of attracting periodic orbits for some classical third-order iterative 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
- 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
- The Mandelbrot Set, the Farey Tree, and the Fibonacci Sequence
- Complex analytic dynamics on the Riemann sphere
- Basin boundaries and focal points in a map coming from Bairstow’s method
- On noninvertible mappings of the plane: Eruptions
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