Sufficient conditions are given for the Q-superlinear convergence of the it
erates produced by primal-dual interior-point methods for linear complement
arity problems. It is shown that those conditions are satisfied by several
well known interior-point methods. In particular it is shown that the itera
tion sequences produced by the simplified predictor-corrector method of Gon
zaga and Tapia, the simplified largest step method of Gonzaga and Bonnans,
the LPF+ algorithm of Wright, the higher order methods of Wright and Zhang.
Potra and Sheng, and Stoer, Wechs and Mizuno are Q-superlinearly convergen