Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631334 | Applied Mathematics and Computation | 2012 | 24 Pages |
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
Authors
Beny Neta, Melvin Scott, Changbum Chun,