%I University of Siena %N %X In this report we provide some technical details for some of the results appeared in [Alessio et al.(2005)]. In the first section we provide the proof of continuity of the PPWA function computed with the ?squaring the circle? algorithm stated in ACC 06. Then, we analyze the complexity of the previous algorithm, in terms of the desired level of accuracy in the approximation of the PPWA function. %L eprints2251 %D 2005 %T An algorithm for PWL approximations of nonlinear functions %A Alessandro Alessio %A Alberto Bemporad %A B. Addis %A Alessandro Pasini