Abstract:
This article discusses the Chebyshev-Halley Method to solve nonlinear equations.
Analytically by using Taylor expansion and geometric series, the proposed Chebyshev-
Halley method have a fifth order of convergence with efficiency index 1.495.
Numerical computations of several examples comparing to some known methods
show that the proposed method in general containing the smallest error in its approximation
the root of the nonlinear equations.