Exact(2)
In this manuscript, we analyze the dynamical anomalies of a parametric family of iterative schemes designed by Kou et al. It is known that its order of convergence is three for any arbitrary value of the parameter, but it has order four (and it is optimal in the sense of Kung Traub's conjecture) when a specific value is selected.
This property implies that (sigma ) is an involution (i.e., it has order 2), and that (Aut ({mathcal {D}})^0) (the connected component of the identity) is transitive on ({mathcal {D}}), and one can write ({mathcal {D}}= G/K ), where G is a connected Lie group, and K is a maximal compact subgroup.
Similar(56)
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