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 $T_{\hat{I}}´$ when applied to polynomials. The family of damped Traub's methods consists of root finding algorithms which con…