Basin attractors for various methods for multiple roots
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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 effi- ciency 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.
Applied Mathematics and Computation, 218, (2012) , 5043–5066.The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2011.10.071.
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