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It is shown that the alogrithm of Ref. E1, when converging on a uniformly convex function and when technical condition (13) of Ref. E1 is satisfied, has an n-iteration Q-superlinear rate of convergence and a behaviour which is a precursor of every-iteration Q-superlinearity. This result overrides and corrects main result Theorem 3.1 of Ref. E1. © 1978 Plenum Publishing Corporation.