“…Then, there exist 0 < e l < 0.5, 0.5 < E, < 1 and e3 > 0, such that for every c, E (E,, e2) and cc E (0,c31, It is interesting to see that apart from the definitions of a and A, the sufficient conditions for the local convergence of the algorithm are actually the same as that of the single loop technique (BrdyS et al 1986 b). This means that the applicability conditions of this new 'double-loop algorithm are much weaker than those of the previous ones (BrdyS and .…”