2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.NA2025★ 2 cited
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…
math.NA2025★ 2 cited
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
Jordi Canela, Vasiliki Evdoridou, Antonio Garijo +1
In this paper we study the dynamics of damped Traub's methods when applied to polynomials. The family of damped Traub's methods consists of root finding algorithms which cont…
math.DS2014★ 1 cited
On McMullen-like mappings
Antonio Garijo, Sébastien Godillon
We introduce a generalization of the McMullen family . In 1988, C. McMullen showed that the Julia set of is a Cantor set of circles if and only if $1/n+1/d<…