PolyU

Emeritus Professor of Applied Mathematics

Professor Qi Liqun

祁力群榮休教授

B.S., M.S., Ph.D.

TU703, Yip Kit Chuen Bldg.

liqun.qi

2766 4591

Personal Website

Qualification

• B.S. (Computational Mathematics) Tsinghua University 1968
• M.S. (Computer Sciences) University of Wisconsin 1981
• Ph.D. (Computer Sciences) University of Wisconsin 1984

Research Interests

Optimization and Applications

• Generalized Newton Methods
• Nonlinear Programming

Multi-linear Algebra

• Spectral Theory of Tensors
• Spectral Hypergraph Theory
• Structured Tensors
• Tensors Complementarity Problems
• Applications in Quantum Physics Problems
• Tensors in Mechanics and Physics

Computational Mathematics and Application

• Numerical Multi-linear Algebra
• Systems of Nonlinear Equations

Honor and Awards

• ISI Most Highly Cited Scientist
• The First Class Science and Technology Award of Chinese Operations Research Society in 2010
• The President's Awards for Excellent Performance/Achievement 2003/2004, based upon Research and Scholarly Activities, The Hong Kong Polytechnic University
• Foreign Member of the Petrovskaya Academy of Science and Arts, Russia

Selected Publications

• S. Hu, L. Qi and G. Zhang, Computing the geometric measure of entanglement of multipartite pure states by means of non-negative tensors, Phys. Rev. A 93 (2016) 012304.
• L. Qi, Hankel tensors: Associated Hankel matrices and Vandermonde decomposition, Commun. Math. Sci. 13 (2015) 113-125.
• L. Qi, C. Xu and Y. Xu, Nonnegative tensor factorization, completely positive tensors and a hierarchically elimination algorithm, SIAM J. Matrix Anal. Appl. 35 (2014) 1227-1241.
• G. Ni, L. Qi and M. Bai, Geometric measure of entanglement and U-eigenvalues of tensors, SIAM J. Matrix Anal. Appl 35 (2014) 73-87.
• L. Qi, G. Yu and Y. Xu, Nonnegative diffusion orientation distribution function, J. Math. Imaging Vision 45 (2013) 103-113.
• M. Ng, L. Qi and G. Zhou, Finding the largest eigenvalue of a non-negative tensor, SIAM J. Matrix Anal. Appl. 31 (2009) 1090-1099.
• L. Qi, Eigenvalues of a real supersymmetric tensor, J. Symb. Comput. 40 (2005) 1302-1324.
• L. Qi, D. Sun and G. Zhou, A new look at smoothing Newton methods for nonlinear complementarity problems and boxconstrained variational inequalities, Math. Prog. 87 (2000) 1-35.
• L. Qi and J. Sun, A nonsmooth version of Newton’s method, Math. Prog. 58 (1993) 353-368.
• L. Qi, Convergence analysis of some algorithms for solving nonsmooth equations, Math. Oper. Res. 18 (1993) 227-244.