On the Local Convergence of a Primal-Dual Trust-Region Interior-Point Algorithm for Constrained Nonlinear Programming N. I. M. Gould, D. Orban, A. Sartenaer and Ph. L. Toint The local convergence properties of the trust-region interior-point method described in Conn, Gould, Orban and Toint (1999) are analyzed. It is shown that the method asymptotically require a single inner iteration per outer iteration and converges 2-step supercubically.