Rocha presents a strange but intriguing convergence theorem for an iterative process of the form x n + 2 = &fgr; ( x n + 1 , xn ), for given x0 and x1, with xn → &xgr; such that &xgr; = &fgr; ( &xgr; , &xgr; ). Unfortunately, the result is nonintuitive and unmotivated, and the presentation leaves something to be desired. The only example, or proposed application, is to the degenerate case of two interleaved Newton iterant sequences with initial iterants x0 and x1. The even and odd subsequences converge quadratically; the theorem connects the rate of convergence of the two subsequences relative to one another.
