Dynamics of the modified Halley's method

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.

کلیدواژه ها:

Nonlinear equations ، Modified Halley's method ، dynamics ، multiple roots)