Dynamics of the modified Halley's method

نویسندگان
Cadenas R., Carlos E. ID 1

1 Departamento of Matematica, Facultad de Ciencias y Tecnolog'ia, Universidad de Carabobo, Naguanagua 2005, Venezuela

doi
10.22075/ijnaa.2023.29200.4086
چکیده

In this work, the dynamics of the Modified Halley's method to multiple roots are established. We find the fixed and critical points. The stable and unstable behaviors are studied. The parameter space associated with the method is studied and finally, some dynamical planes that show different aspects of the dynamics of this method are presented.

کلیدواژه‌ها
Nonlinear equations, Modified Halley's method, dynamics, multiple roots)