21 citations · 24 across the 6 of their papers we have counts for
6 papers
Dynamics of a Family of Rational Operators of Arbitrary Degree
Beatriz Campos, Jordi Canela, Antonio Garijo +1
In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to red…
Dynamics of Newton-like root finding methods
Beatriz Campos, Jordi Canela, Pura Vindel
When exploring the literature, it can be observed that the operator obtained when applying \textit{Newton-like} root finding algorithms to the quadratic polynomials has the…
Computing parameter planes of iterative root-finding methods with several free critical points
Beatriz Campos, Jordi Canela, Alberto Rodríguez-Arenas +1
In this paper we present an algorithm to obtain the parameter planes of families of root-finding methods with several free critical points. The parameter planes show the joint beha…
Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials
Beatriz Campos, Jordi Canela, Purificación Vindel
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the root…
Fat handles and phase portraits of Non Singular Morse-Smale flows on S^3 with unknotted saddle orbits
B. Campos, P. Vindel
In this paper we build Non-singular Morse-Smale flows on S^3 with unknotted and unlinked saddle orbits by identifying fat round handles along their boundaries. This way of building…
Dynamics of a family of Chebyshev-Halley-type methods
A. Cordero, J. R. Torregrosa, P. Vindel
In this paper, the dynamics of the Chebyshev-Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to t…