Abstract:
This article discusses the modifications of Halley’s method using Taylor’s expansion
of second order to solve nonlinear equations. The modification of Halley’s method
is divided into two cases. Both of modifications of Halley’s methods have order of
convergence six and need four function evaluations per iteration. Furthermore, the
computational results show that the method converges faster in obtaining a simple
root of the nonlinear equations compared to Newton’s and Halley’s method