On the Characterization of Q-Superlinear Convergence of Quasi-Newton Interior-Point Methods for Nonlinear Programming

and R. A. Tapia~ In this paper we extend the well-known Boggs-Tolle-Wang characterization of Qsuperlinear convergence for quasi-Newton methods for equality constrained optimization to quasi-Newton interior-point methods for nonlinear programming. Critical issues in this extension include, the choice of the centering parameter, the choice of the steplength parameter, and the determination of the primary variables.