Abstract:
This article discusses two optimal methods namely Liu-Zhou's method and Zhou-
Chen-Song's method in nding multiple roots of nonlinear equations. Analytically
using Taylor's expansion, geometric series and binomial series, it is shown that
Liu-Zhou's method and Zhou-Chen-Song's method have four order of convergence.
Some examples are given to see the comparison of Liu-Zhou's method and Zhou-
Chen-Song's method with other known method