Publication on Nonlinear Complementarity Problems

  1. H.-D. Qi, L. Qi, and D. Sun
    Solving KKT systems via the trust region and the conjugate gradient methods
    SIAM J. Optimization, 14 (2003), 439--463.
  2. D. Sun, R.S. Womersley, and H.-D. Qi
    A feasible semismooth asympototically Newton method for mixed complementarity problems
    Mathematical Programming 94 (2002), pp. 167--187.
  3. L.-Z. Liao, H.-D. Qi and L. Qi
    Solving nonlinear complementarity problems with neural networks: a reformulation method approach
    Journal of Computational and Applied Mathematics, 131 (2001), pp. 343-359.
  4. H.-D. Qi and L.-Z. Liao
    A smoothing Newton method for general nonlinear complementarity problems
    Computational Optimization and Applications, 17 (2000), pp. 231-253.
  5. H.-D. Qi and Y.-Z. Zhang
    A globally derivative-free descent method for nonlinear complementarity problems
    Journal of Computational Mathematics, 18 (2000), pp. 251-264.
  6. H.-D. Qi
    A regularized smoothing Newton method for box constrained variational inequality problems with $P0$-functions
    SIAM Journal on Optimization, 10 (2000), pp. 315-330.
  7. H.-D. Qi and L.-Z. Liao
    A smoothing Newton method for extended vertical linear complementarity problems
    SIAM J. Matrix Anal. Appl., 21 (2000), pp. 45-66.
  8. C. Kanzow and H.-D. Qi
    A QP-free constrained Newton-type method for variational inequality problems
    Mathematical Programming, 85 (1999), pp. 81-106.
  9. H.-D. Qi
    On stationary and minimizing sequences of a new class of merit functions for nonlinear complementarity problems
    Journal of Optimization Theory and Applications, 102 (1999), pp. 411--431.
  10. H.-D. Qi
    Tikhonov regularization methods for general variational inequality problems
    Journal of Optimization Theory and Applications, 102 (1999), pp. 93--101.
  11. L.-Z. Liao and H.-D. Qi
    A neural network for the linear complementarity problem
    Mathematical and Computer Modelling, 29 (1999), pp. 9--18.
  12. H.-D. Qi, L.-Z. Liao and Z.-H. Lin
    Regularized smoothing approximations to vertical nonlinear complementarity problems
    Journal of Mathematical Analysis and Applications, 230 (1999), pp. 261--276.
  13. Y.-B. Zhao, J.-Y. Han and H.-D. Qi
    Exceptional families and existence theorems for variational inequality problems
    Journal of Optimization Theory and Applications, 101 (1999), pp. 475--495.
  14. H.-D. Qi and J.-Y. Han
    Exceptional family and existence theorems in linear complementarity problems
    Mathematica Numerica Sinica, 19 (1997), pp. 70-77.