Resumen de On the dynamics of a family of third-order iterative functions

Sergio Amat Plata, Sonia Busquier Sáez, Sergio Plaza Salinas

• We study the dynamics of a family of third-order iterative methods that are used to find roots of nonlinear equations applied to complex polynomials of degrees three and four. This family includes, as particular cases, the Chebyshev, the Halley and the super-Halley root-finding algorithms, as well as the so-called c-methods. The conjugacy classes of these iterative methods are found explicitly.