文摘
In this paper we prove that, among all one-point iterative processes without memory of order pp, the most efficient processes are of order p=3p=3. Moreover, the computational efficiency of one-point iterative processes without memory decreases to 11 as pp increases, i.e., the efficiency index of higher order of convergence methods is low. We find the upper and lower bounds of the Ostrowski–Traub index of computational efficiency in a wider class of iterative methods with unit informational efficiency.