Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems

@article{Pang2003SemismoothHA,
  title={Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems},
  author={Jong-Shi Pang and Defeng Sun and Jie Sun},
  journal={Math. Oper. Res.},
  year={2003},
  volume={28},
  pages={39-63}
}
Based on an inverse function theorem for a system of semismooth equations, this paper establishes several necessary and sufficient conditions for an isolated solution of a complementarity problem defined on the cone of symmetric positive semidefinite matrices to be strongly regular/stable. We show further that for a parametric complementarity problem of this kind, if a solution corresponding to a base parameter is strongly stable, then a semismooth implicit solution function exists whose… CONTINUE READING

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