Dimarts 16 de Novembre, 12:30 hores, Saló de Graus.
In this paper, a parametric family including Newton’ and Traub’s iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials is studied. The analysis of fixed and critical points and the associated parameter plane show the dynamical richness of the family and allows us to find members of it with good numerical properties, as well as other ones with very unstable behavior.