Article ID Journal Published Year Pages File Type
4631334 Applied Mathematics and Computation 2012 24 Pages PDF
Abstract

There are several methods for approximating the multiple zeros of a nonlinear function when the multiplicity is known. The methods are classified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss all known methods of orders two to four and present the basin of attraction for several examples.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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