New Fourth-order Schroder-type Methods for Finding Zeros of Nonlinear Equations Having Unknown Multiplicity

In this paper we define two new fourth-order Schroder-type methods for finding zeros of nonlinear equations having unknown multiplicity. In terms of computational cost the new iterative methods requires six evaluations of functions per iteration. It is proved that the new methods have a convergence of order four. Numerical comparisons are included to demonstrate exceptional convergence speed of the proposed methods.