Liqun Qi

Sheng-Long Hu, Liqun Qi: The E-characteristic polynomial of a tensor of dimension 2. Appl. Math. Lett. 26(2): 225-231 (2013)

Xiaojiao Tong, Chen Ling, Soon-Yi Wu, Liqun Qi: Semi-infinite programming method for optimal power flow with transient stability and variable clearing time of faults. J. Global Optimization 55(4): 813-830 (2013)

Liqun Qi, Gaohang Yu, Yi Xu: Nonnegative Diffusion Orientation Distribution Function. Journal of Mathematical Imaging and Vision 45(2): 103-113 (2013)

Sheng-Long Hu, Zheng-Hai Huang, Chen Ling, Liqun Qi: On determinants and eigenvalue theory of tensors. J. Symb. Comput. 50: 508-531 (2013)

Xiaojiao Tong, Liqun Qi, Soon-Yi Wu, Felix F. Wu: A smoothing SQP method for nonlinear programs with stability constraints arising from power systems. Comp. Opt. and Appl. 51(1): 175-197 (2012)

Sheng-Long Hu, Liqun Qi: Algebraic connectivity of an even uniform hypergraph. J. Comb. Optim. 24(4): 564-579 (2012)

Immanuel M. Bomze, Chen Ling, Liqun Qi, Xinzhen Zhang: Standard bi-quadratic optimization problems and unconstrained polynomial reformulations. J. Global Optimization 52(4): 663-687 (2012)

Xinzhen Zhang, Liqun Qi, Yinyu Ye: The cubic spherical optimization problems. Math. Comput. 81(279) (2012)

Xinzhen Zhang, Chen Ling, Liqun Qi: The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems. SIAM J. Matrix Analysis Applications 33(3): 806-821 (2012)

Yi Xu, Wenyu Sun, Liqun Qi: A feasible direction method for the semidefinite program with box constraints. Appl. Math. Lett. 24(11): 1874-1881 (2011)

C. K. Chan, Xiaojun Chen, Liqun Qi, Colin Rogers, Zhong-ci Shi, Ian H. Sloan: Preface. J. Computational Applied Mathematics 235(13): 3703-3704 (2011)

Xinzhen Zhang, Chen Ling, Liqun Qi: Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints. J. Global Optimization 49(2): 293-311 (2011)

Liqun Qi: The Best Rank-One Approximation Ratio of a Tensor Space. SIAM J. Matrix Analysis Applications 32(2): 430-442 (2011)

Yannan Chen, Deren Han, Liqun Qi: New ALS Methods With Extrapolating Search Directions and Optimal Step Size for Complex-Valued Tensor Decompositions. IEEE Transactions on Signal Processing 59(12): 5888-5898 (2011)

Xiaojiao Tong, Liqun Qi, Felix F. Wu, Hui Zhou: A smoothing method for solving portfolio optimization with CVaR and applications in allocation of generation asset. Applied Mathematics and Computation 216(6): 1723-1740 (2010)

Qunyan Zhou, Wenyu Sun, Liqun Qi: A nonmonotone globalization algorithm with preconditioned gradient path for unconstrained optimization. Applied Mathematics and Computation 217(8): 4257-4264 (2010)

Yan Zhang, Wenyu Sun, Liqun Qi: A Nonmonotone Filter Barzilai-Borwein Method for Optimization. APJOR 27(1): 55-69 (2010)

Zhenghao Yang, Wenyu Sun, Liqun Qi: Global convergence of a filter-trust-region algorithm for solving nonsmooth equations. Int. J. Comput. Math. 87(4): 788-796 (2010)

Chen Ling, Qin Ni, Liqun Qi, Soon-Yi Wu: A new smoothing Newton-type algorithm for semi-infinite programming. J. Global Optimization 47(1): 133-159 (2010)

Liqun Qi, Gaohang Yu, Ed X. Wu: Higher Order Positive Semidefinite Diffusion Tensor Imaging. SIAM J. Imaging Sciences 3(3): 416-433 (2010)

Gaohang Yu, Liqun Qi, Yimin Sun, Yi Zhou: Impulse noise removal by a nonmonotone adaptive gradient method. Signal Processing 90(10): 2891-2897 (2010)

Liqun Qi, Chen Ling, Xiaojiao Tong, Guanglu Zhou: A smoothing projected Newton-type algorithm for semi-infinite programming. Comp. Opt. and Appl. 42(1): 1-30 (2009)

Gaohang Yu, Liqun Qi, Yu-Hong Dai: On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration. Journal of Mathematical Imaging and Vision 35(2): 143-154 (2009)

Liqun Qi, Fei Wang, Yiju Wang: Z-eigenvalue methods for a global polynomial optimization problem. Math. Program. 118(2): 301-316 (2009)

Chen Ling, Jiawang Nie, Liqun Qi, Yinyu Ye: Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations. SIAM Journal on Optimization 20(3): 1286-1310 (2009)

Michael Ng, Liqun Qi, Guanglu Zhou: Finding the Largest Eigenvalue of a Nonnegative Tensor. SIAM J. Matrix Analysis Applications 31(3): 1090-1099 (2009)

Liqun Qi, Defeng Sun: Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities. Encyclopedia of Optimization 2009: 2671-2675

Edward S. Hui, Matthew M. Cheung, Liqun Qi, Ed X. Wu: Towards better MR characterization of neural tissues using directional diffusion kurtosis analysis. NeuroImage 42(1): 122-134 (2008)

Chen Ling, Liqun Qi, Guanglu Zhou, Louis Caccetta: The SC. Oper. Res. Lett. 36(4): 456-460 (2008)

C. T. Kelley, Li-Zhi Liao, Liqun Qi, Moody T. Chu, J. P. Reese, C. Winton: Projected Pseudotransient Continuation. SIAM J. Numerical Analysis 46(6): 3071-3083 (2008)

Qin Ni, Liqun Qi, Fei Wang: An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form. IEEE Trans. Automat. Contr. 53(5): 1096-1107 (2008)

Xiaojiao Tong, Felix F. Wu, Liqun Qi: Available Transfer Capability Calculation Using a Smoothing Pointwise Maximum Function. IEEE Trans. on Circuits and Systems 55-I(1): 462-474 (2008)

Michael K. Ng, Liqun Qi, Yu-Fei Yang, Yu-Mei Huang: On Semismooth Newton's Methods for Total Variation Minimization. Journal of Mathematical Imaging and Vision 27(3): 265-276 (2007)

Zengxin Wei, Guoyin Li, Liqun Qi: New quasi-Newton methods for unconstrained optimization problems. Applied Mathematics and Computation 175(2): 1156-1188 (2006)

Zengxin Wei, Guoyin Li, Liqun Qi: New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Applied Mathematics and Computation 179(2): 407-430 (2006)

Xiaojiao Tong, Liqun Qi, Yu-Fei Yang: The Lagrangian Globalization Method for Nonsmooth Constrained Equations. Comp. Opt. and Appl. 33(1): 89-109 (2006)

Haiyan Lu, Enyu Yao, Liqun Qi: Some further results on minimum distribution cost flow problems. J. Comb. Optim. 11(4): 351-371 (2006)

Binwu Zhang, Jianzhong Zhang, Liqun Qi: The shortest path improvement problems under Hamming distance. J. Comb. Optim. 12(4): 351-361 (2006)

Liqun Qi: Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines. J. Symb. Comput. 41(12): 1309-1327 (2006)

Hongxia Yin, Chen Ling, Liqun Qi: Convergence rate of Newton's method for L₂ spectral estimation. Math. Program. 107(3): 539-546 (2006)

Bernice R. Packer, Meredith Yeager, Laura Burdett, Robert Welch, Michael Beerman, Liqun Qi, Hugues Sicotte, Brian Staats, Mekhala Acharya, Andrew Crenshaw, Andrew Eckert, Vinita Puri, Daniela S. Gerhard, Stephen J. Chanock: SNP500Cancer: a public resource for sequence validation, assay development, and frequency analysis for genetic variation in candidate genes. Nucleic Acids Research 34(Database-Issue): 617-621 (2006)

Guanglu Zhou, Liqun Qi: On the convergence of an inexact Newton-type method. Oper. Res. Lett. 34(6): 647-652 (2006)

Qin Ni, Chen Ling, Liqun Qi, Kok Lay Teo: A Truncated Projected Newton-Type Algorithm for Large-Scale Semi-infinite Programming. SIAM Journal on Optimization 16(4): 1137-1154 (2006)

Jiangtao Mo, Liqun Qi, Zengxin Wei: A manufacturing supply chain optimization model for distilling process. Applied Mathematics and Computation 171(1): 464-485 (2005)

Yu-Fei Yang, Liqun Qi: Smoothing Trust Region Methods for Nonlinear Complementarity Problems with P ₀-Functions. Annals OR 133(1-4): 99-117 (2005)

Liqun Qi: Eigenvalues of a real supersymmetric tensor. J. Symb. Comput. 40(6): 1302-1324 (2005)

Liqun Qi, Alexander Shapiro, Chen Ling: Differentiability and semismoothness properties of integral functions and their applications. Math. Program. 102(2): 223-248 (2005)

Fei Wang, Liqun Qi: Comments on "Explicit criterion for the positive definiteness of a general quartic form". IEEE Trans. Automat. Contr. 50(3): 416-418 (2005)

Xing-Bao Gao, Li-Zhi Liao, Liqun Qi: A novel neural network for variational inequalities with linear and nonlinear constraints. IEEE Transactions on Neural Networks 16(6): 1305-1317 (2005)

Houduo Qi, Liqun Qi, Xiaoqi Yang: Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis-II. IEEE Transactions on Neural Networks 16(6): 1701-1706 (2005)

Dong-Hui Li, Masao Fukushima, Liqun Qi, Nobuo Yamashita: Regularized Newton Methods for Convex Minimization Problems with Singular Solutions. Comp. Opt. and Appl. 28(2): 131-147 (2004)

Zheng-Hai Huang, Liqun Qi, Defeng Sun: Sub-quadratic convergence of a smoothing Newton algorithm for the P ₀- and monotone LCP. Math. Program. 99(3): 423-441 (2004)

Jie Sun, Defeng Sun, Liqun Qi: A Squared Smoothing Newton Method for Nonsmooth Matrix Equations and Its Applications in Semidefinite Optimization Problems. SIAM Journal on Optimization 14(3): 783-806 (2004)

Liqun Qi, Zhong Wan, Yu-Fei Yang: Global Minimization of Normal Quartic Polynomials Based on Global Descent Directions. SIAM Journal on Optimization 15(1): 275-302 (2004)

Houduo Qi, Liqun Qi: Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis. IEEE Transactions on Neural Networks 15(1): 99-109 (2004)

Liqun Qi: Guest Editorial. Comp. Opt. and Appl. 25(1-3): 7-9 (2003)

Liqun Qi, Hongxia Yin: A Strongly Semismooth Integral Function and Its Application. Comp. Opt. and Appl. 25(1-3): 223-246 (2003)

Yu-Fei Yang, Dong-Hui Li, Liqun Qi: A Feasible Sequential Linear Equation Method for Inequality Constrained Optimization. SIAM Journal on Optimization 13(4): 1222-1244 (2003)

Houduo Qi, Liqun Qi, Defeng Sun: Solving Karush--Kuhn--Tucker Systems via the Trust Region and the Conjugate Gradient Methods. SIAM Journal on Optimization 14(2): 439-463 (2003)

Asen L. Dontchev, Houduo Qi, Liqun Qi, Hongxia Yin: A Newton Method for Shape-Preserving Spline Interpolation. SIAM Journal on Optimization 13(2): 588-602 (2002)

Guang-Ze Gu, Dong-Hui Li, Liqun Qi, Shu-Zi Zhou: Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations. SIAM J. Numerical Analysis 40(5): 1763-1774 (2002)

Elijah Polak, Liqun Qi, Defeng Sun: Second-Order Algorithms for Generalized Finite and Semi-Infinite Min-Max Problems. SIAM Journal on Optimization 11(4): 937-961 (2001)

Liqun Qi, Zengxin Wei: Corrigendum: On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods. SIAM Journal on Optimization 11(4): 1145-1146 (2001)

Masao Fukushima, Liqun Qi: Introduction. Comp. Opt. and Appl. 17(2-3): 115 (2000)

Liqun Qi, Defeng Sun: Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Math. Comput. 69(229): 283-304 (2000)

Liqun Qi, Zengxin Wei: On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods. SIAM Journal on Optimization 10(4): 963-981 (2000)

Houduo Qi, Liqun Qi: A New QP-Free, Globally Convergent, Locally Superlinearly Convergent Algorithm For Inequality Constrained Optimization. SIAM Journal on Optimization 11(1): 113-132 (2000)

Liqun Qi, Guanglu Zhou: A Smoothing Newton Method for Minimizing a Sum of Euclidean Norms. SIAM Journal on Optimization 11(2): 389-410 (2000)

Xiaojun Chen, Liqun Qi, Defeng Sun: Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Math. Comput. 67(222): 519-540 (1998)

Liqun Qi, Xiaojun Chen: A preconditioning proximal Newton method for nondifferentiable convex optimization. Math. Program. 76: 411-429 (1996)

Liqun Qi: Superlinearly convergent approximate Newton methods for LC optimization problems. Math. Program. 64: 277-294 (1994)

Liqun Qi, Jie Sun: A trust region algorithm for minimization of locally Lipschitzian functions. Math. Program. 66: 25-43 (1994)

Egon Balas, Liqun Qi: Linear-Time Separation Algorithms for the Three-Index Assignment Polytope. Discrete Applied Mathematics 43(1): 1-12 (1993)

Liqun Qi, Jie Sun: A nonsmooth version of Newton's method. Math. Program. 58: 353-367 (1993)

Jie Sun, Liqun Qi: An interior point algorithm of O(Quadrat Root(m) absolute (ln epsilon)) iterations for C-convex programming. Math. Program. 57: 239-257 (1992)

Liqun Qi: Quasidifferentials and maximal normal operators. Math. Program. 49: 263-271 (1991)