Newton-type iterative methods for finding zeros having higher multiplicity

摘要

In this paper, using the idea of Gander, families of several iterative methods for solving non-linear equations f ( x ) = 0 having zeros of higher multiplicity are presented. The families of methods presented here include methods of Newton type, Steffensen type and their variant. We obtain families of methods of order 2 as well as 3. Some numerical examples are also presented in support of these methods.