# On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems

@article{Zhang1993OnTS,
title={On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems},
author={Yin Zhang and Richard A. Tapia and Florian A. Potra},
journal={SIAM J. Optim.},
year={1993},
volume={3},
pages={413-422}
}
• Published 1 May 1993
• Mathematics
• SIAM J. Optim.
In this paper, the authors extend the Q-superlinear convergence theory recently developed by Zhang, Tapia, and Dennis for a class of interior-point linear programming algorithms to similar interior-point algorithms for quadratic programming and for linear complementarily problems. This unified approach consists of viewing all these algorithms as a damped Newton method applied to perturbations of a general problem. A set of sufficient conditions for these algorithms to achieve Q-superlinear…
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