Browsing Departament: Matemàtiques by Keyword "Holomorphic dynamics"
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On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
Springer (2023)In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ = 0) and Traub’s method ... -
Singular perturbations of Blaschke products and connectivity of Fatou components
American Institute of Mathematical Sciences (AIMS) (2017)The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...