Abstract:
This article discusses the modification of Halley method based on Steffensen method
by estimating first and second derivative using central difference. The method is
called Halley Steffensen-Type method (MHS), which is free from derivative. The
convergence analysis shows that the MHS is of four order method. Numerical comparison
between MHS and several of the known iterative methods shows that MHS
can be used as an alternative method to solve nonlinear equation.