LIAO, Li-Zhi

BSc, Tsinghua; MSc, PhD, Cornell
Professor
Department of Mathematics
Hong Kong Baptist University
Kowloon Tong, Hong Kong
Research Interests:
Continuous Method for Optimization, Theory and Computation of Optimization and Optimal Control, Parallel Computing
Telephone: (852) 3411-7022
Facsimile: (852) 3411-5811
Email:
Office: FSC1215, HKBU
Recent Publications:
  1. X. B. Gao and L.-Z. Liao, A new projection-based neural network for constrained variational inequalities, IEEE TNN, (to appear).
  2. X. L. Luo, C. T. Kelley, L.-Z. Liao, and H. W. Tam, Combining trust-region techniques and Rosenbrock methods to compute stationary points,JOTA, (to appear).
  3. L. H. Zhang and L.-Z. Liao,A generalized projective dynamic for solving extreme and interior eigenvalue problems, DCDS-B, 10 (4), 997-1019, 2008.
  4. C. T. Kelley, L.-Z. Liao, L. Q. Qi, M. T. Chu, J. P. Reese, and C. Winton, Projected pseudotransient continuation, SINUM, 46 (6), 3071-3083, 2008.
  5. M. Li, L.-Z. Liao, and X. M. Yuan, A modified projection method for co-coercive var iational inequalities, EJOR, 189 (2), pp. 310-323, 2008.
  6. X. B. Gao, G. H. Golub, and L.-Z. Liao, Continuous methods for symmetric generalized eigenvalue problems LAA, Vol. 428 (2-3), pp. 676-696, 2008.
  7. L. H. Zhang, C. T. Kelley, and L.-Z. Liao, A continuous Newton-type method for unco nstrained optimization Pacific Journal of Optimization, 4 (2), pp. 259-277, 2008.
  8. X. L. Luo, L.-Z. Liao, and H. W. Tam, Convergence analysis of the Levenberg-Marquardt method, Optimization Methods and Software, 22 (4), pp. 659-678, 2007.
  9. B. S. He, L.-Z. Liao, M. J. Qian,Alternating projection based prediction-correction methods for structured variational inequalities, J. Comput. Math, 24 (6), pp. 693-710, 2006.
  10. X. B. Gao and L.-Z. Liao, A novel neural network for a class of convex quadratic minimax problems, Neural Computation, Vol. 18 (8), pp. 1818-1846, 2006.
  11. G. H. Golub and L.-Z. Liao, Continuous methods for extreme and interior eigenvalue problems, LAA, Vol. 415, pp. 31-51, 2006.
  12. B. S. He, L.-Z. Liao, and X. M. Yuan, A LQP based interior prediction-correction method for nonlinear complementarity problems, J. Comput. Math, 24 (1), pp. 33-44, 2006.
  13. X. B. Gao, L.-Z. Liao, and L. Q. Qi, A novel neural network for variational inequalities with linear and nonlinear constraints, IEEE Trans. Neural Networks, Vol. 16 (6), pp. 1305-1317, 2005.
  14. L.-Z. Liao, L. Q. Qi, and H. W. Tam, A gradient-based continuous method for large-scale optimization problems, Journal of Global Optimization, 31, pp. 271-286, 2005.
  15. L.-Z. Liao, A continuous method for convex programming problems,, JOTA, 124 (1): 207-226, 2005.
  16. X. B. Gao, L.-Z. Liao, and W. M. Xue, A neural network for a class of convex quadratic minimax problems with constraints, IEEE Trans. Neural Networks, 15 (3), pp. 622-628, 2004.
  17. Y.-H. Dai, L.-Z. Liao, and D. Li, On restart procedures for the conjugate gradient method, Numerical Algorithms, 35 (2-4), pp. 249-260, 2004.
  18. L.-Z. Liao, H. D. Qi, and L. Q. Qi, Neurodynamical optimization, Journal of Global Optimization, 28, pp. 175-195, 2004.
  19. L.-Z. Liao and S. L. Wang, A self-adaptive projection and contraction method for linear complementarity problems, App. Math. Optim., 48 (3), pp. 169-180, 2003.
  20. B. S. He, L.-Z. Liao, and S. L. Wang, Self-adaptive operator splitting methods for monotone variational inequalities, Numer. Math., 94 (4), pp. 715-737, 2003
  21. B. S. He, L.-Z. Liao, and Z. H. YangA new approximate proximal point algorithm for maximal monotone operator, Science in China, Series A, 46 (2), pp. 200-206, 2003.
  22. X. B. Gao and L.-Z. Liao, A neural network for monotone variational inequalities with linear constraints, Physics Letters A, 307 (2-3), pp. 118-128, 2003.
  23. C. K. Ng, L.-Z. Liao, and D. Li, A globally convergent and efficient method for unconstrained discrete-time optimal control, Journal of Global Optimization, 23 (3-4), pp. 401-421, 2002.
  24. L.-Z. Liao and D. Li, Adaptive differential dynamic programming for multiobjective optimal control, Automatica, 38 (6), pp. 1003-1015, 2002.
  25. B. S. He, L.-Z. Liao, D. R. Han, and H. Yang, An new inexact alternating directions method for monotone variational inequalities, Math. Prog. 92 (1), pp. 103-118, 2002.
  26. X. S. Zhang, J. L. Zhang, and L.-Z. Liao, An adaptive trust region method and its convergence, Science in China (Series A), 45 (5), pp. 620-631, 2002.
  27. B. S. He and L.-Z. Liao, Improvements of some projection methods for monotone nonlinear variational inequalities, Journal of Optimization Theory and Applications, 112 (1), pp. 111-128, 2002.
  28. L.-Z. Liao and S. L. Wang, A self-adaptive projection and contraction method for monotone symmetric linear variational inequalities, Computers & Mathematics with Applications, 43 (1-2), pp. 41-48, 2002.
  29. Y.-H. Dai and L.-Z. Liao, R-linear convergence of the Barzilai and Borwein gradient method, IMA Journal of Numerical Analysis, 22 (1), pp. 1-10, 2002.
  30. L.-Z. Liao, H. D. Qi, and L. Q. Qi, Solving nonlinear complementarity problems with neural networks: a reformulation method approach, JCAM, 131 (1-2), pp. 343-359, 2001.
  31. D. Z. Cheng, W. M. Xue, L.-Z. Liao, and D. Y. Cai, On generalized Hamiltonian systems, Acta Mathematicae Applicatae Sinica, Vol. 17 (4), pp. 475-483, 2001.
  32. S. L. Wang and L.-Z. Liao, Decomposition method with a variable parameter for a class of monotone variational inequality problems, Journal of Optimization Theory and Applications, Vol. 109 (2), pp. 415-429, 2001.
  33. Q. M. Han, L.-Z. Liao, H. D. Qi, and L. Q. Qi, Stability analysis of gradient-based neural networks for optimization problems, Journal of Global Optimization, 19 (4), pp. 363-381, 2001.
  34. Y. H. Dai and L.-Z. Liao, New conjugacy conditions and related nonlinear conjugate gradient methods, Applied Mathematics & Optimization, 43 (1), pp. 87-101, 2001.
  35. H. D. Qi and L.-Z. Liao, A smoothing Newton method for general nonlinear complementarity problems, Computational Optimization and Applications, 17 (2-3), pp. 231-253, 2000.
  36. L.-Z. Liao and D. Li, Successive method for general multiple linear-quadratic control problem in discrete-time, IEEE Trans. Automat. Contr., 45 (7), pp. 1380-1385, 2000.
  37. H. D. Qi and L.-Z. Liao, A smoothing Newton method for extended vertical linear complementarity problems, SIAM J. Matrix Anal. Appl., 21 (1), pp. 45-66, 1999.
  38. B. S. He, L.-Z. Liao, and H. Yang, A Decomposition Method for a Class of M onotone Variational Inequality Problems, Journal of Optimization Theory and Applications, 103 (3), pp. 603-622, 1999.
  39. L.-Z. Liao, A recurrent neural network for N-stage optimal control problems, Neural Processing Letters, 10 (3), pp. 195-200, 1999.
  40. L.-Z. Liao and H. Qi, A neural network for the linear complementarity problem, Mathl. Comput. Modelling, 29 (3), pp. 9-18, 1999.
  41. H. D. Qi, L.-Z. Liao, and Z.-H. Lin, Regularized smoothing approximations to vertical nonlinear complementarity problems, J. Math. Anal. Appl., 230, pp. 261-276, 1999.
  42. C. Mansfield, C. A. Shoemaker, and L.-Z. Liao, Utilizing sparsity in time varying optimal control of aquifer cleanup, ASCE J. Water Resour. Plan. and Mang., 124, pp. 15-21, 1998.