Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method
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There are relatively few optimal fourth order methods for solving nonlinear algebraic equations having roots of known multiplicity m. In a previous paper we have compared 5 such methods, two of which require the evaluation of the (m - 1)st root. We have used the basin of attraction idea to recommend the best optimal fourth order method. Here we compare the family of methods developed by Kanwar et al. (2013) - to the best known method. We will also point out some mistake in deriving that family.
The article of record as published may be found at http://dx.doi.org/10.1016/j.amc.2015.05.069
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