21 citations · 24 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…