Edit Profile (opens in new tab) Qi, Liqun Compute Distance To: Compute Author ID: qi.liqun Published as: Qi, Liqun; Qi, L.; Qi, Li-qun; Qi, L. Q.; Qi, Liquin; Qi, Li-Qun; Qi, Li Qun; Qi, LiQun Homepage: http://www.polyu.edu.hk/ama/staff/new/QiLQ.htm External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 365 Publications since 1979, including 3 Books 14 Contributions as Editor Co-Authors: 173 Co-Authors with 342 Joint Publications 6,189 Co-Co-Authors all top 5 Co-Authors 35 single-authored 31 Ling, Chen 22 Zhou, Guanglu 21 Sun, Defeng 19 Hu, ShengLong 17 Chen, Yannan 17 Huang, Zheng-Hai 17 Zhang, Xinzhen 16 Wei, Yimin 15 Song, Yisheng 13 Li, Guoyin 13 Tong, Xiaojiao 12 Qi, Houduo 11 Chen, Xiaojun 11 Wang, Yiju 11 Wei, Zengxin 11 Wu, Soon-Yi 10 Chen, Haibin 10 Sun, Wenyu 10 Xu, Yi 9 Birge, John R. 9 Jiang, Houyuan 9 Li, Donghui 9 Luo, ZiYan 9 Yin, Hongxia 8 Che, Maolin 8 Yang, Yufei 7 Ding, Weiyang 7 Fukushima, Masao 7 Yu, Gaohang 7 Zhang, Liping 6 Han, Deren 6 He, Hongjin 6 Shao, Jiayu 6 Teo, Kok Lay 6 Wang, Qun 6 Xu, Changqing 5 Chen, Zhongming 5 Liao, Li-Zhi 5 Liu, Jinjie 5 Wu, Ed Xuekui 5 Xu, Yanwei 5 Yang, Qingzhi 4 Caccetta, Louis 4 Dontchev, Asen L. 4 Ni, Qin 4 Sun, Jie 4 Womersley, Robert S. 4 Wu, Felix F. 4 Yan, Hong 4 Ye, Yinyu 4 Yuan, Xiying 4 Zhang, Jianzhong 4 Zou, Wennan 3 Chang, Jingya 3 Chen, Zhibing 3 Miao, Yun 3 Ng, Michael Kwok-Po 3 Ni, Guyan 3 Ouyang, Chen 3 Polak, Elijah (Lucien) 3 Xie, Jinshan 3 Yang, Xiaoqi 3 Yang, Yuning 2 Balas, Egon 2 Chang, Kung-Ching 2 Chen, Jinhai 2 Chi, Zongtao 2 Dai, Hui-Hui 2 Gwan, Geena 2 Kelley, Carl T. 2 Li, Yaotang 2 Mifflin, Robert 2 Mo, Jiangtao 2 Nashed, Zuhair 2 Pang, Jong-Shi 2 Tseng, Paul 2 Zhang, Guofeng 2 Zhang, Tan 1 Alqahtani, Mohammed 1 Bai, Minru 1 Bai, Zhengjian 1 Bakshi, Mayank 1 Bohnet-Waldraff, Fabian 1 Bomze, Immanuel M. 1 Braun, Daniel 1 Bu, Changjiang 1 Burke, James V. 1 Chan, Cheong-ki K. 1 Chen, Chiyu 1 Chen, Xin 1 Chu, Moody T. 1 Cui, Chunfeng 1 Du, Ding-Zhu 1 Du, Shouqiang 1 Facchinei, Francisco 1 Fang, Shu-Cherng 1 Friedland, Shmuel 1 Giraud, Olivier 1 Gu, Guangze 1 Gu, Lejia ...and 73 more Co-Authors all top 5 Serials 29 Journal of Optimization Theory and Applications 21 Linear Algebra and its Applications 20 Journal of Global Optimization 19 SIAM Journal on Optimization 19 Computational Optimization and Applications 15 Mathematical Programming. Series A. Series B 15 Numerical Linear Algebra with Applications 14 Journal of Computational and Applied Mathematics 13 Frontiers of Mathematics in China 11 SIAM Journal on Matrix Analysis and Applications 11 Communications in Mathematical Sciences 9 Applied Mathematics and Computation 8 Mathematics of Operations Research 8 Journal of Industrial and Management Optimization 7 Journal of Mathematical Analysis and Applications 7 Pacific Journal of Optimization 6 Linear and Multilinear Algebra 6 Optimization Methods & Software 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Numerical Analysis 5 Journal of Scientific Computing 5 Journal of Combinatorial Optimization 4 Mathematics of Computation 4 Annals of Operations Research 4 Optimization Letters 4 Science China. Mathematics 3 Discrete Applied Mathematics 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 Numerical Mathematics 3 Operations Research Letters 3 Optimization 3 Journal of Symbolic Computation 3 Journal of the Operations Research Society of China 2 Applied Mathematics and Optimization 2 IEEE Transactions on Automatic Control 2 Mathematical Programming Study 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Asia-Pacific Journal of Operational Research 2 Applied Mathematics Letters 2 SIAM Journal on Scientific Computing 2 Journal of Convex Analysis 2 Applied Optimization 2 SIAM Journal on Imaging Sciences 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Suzhou University of Science and Technology. Natural Science Edition 2 Numerical Algebra, Control and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications 2 Minimax Theory and its Applications 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Physics Letters. A 1 BIT 1 Computing 1 Management Science 1 Journal of Computational Mathematics 1 Constructive Approximation 1 Journal of Tsinghua University. Science and Technology 1 Signal Processing 1 IEEE Transactions on Signal Processing 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 The Australasian Journal of Combinatorics 1 Journal of Mathematical Imaging and Vision 1 Numerical Mathematics 1 Mathematics and Mechanics of Solids 1 Journal of Inequalities and Applications 1 Optimization and Engineering 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Advances in Mechanics and Mathematics 1 Advanced Modeling and Optimization 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Communications in Mathematical Research 1 Scientia Sinica. Mathematica 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Annals of Applied Mathematics 1 Other Titles in Applied Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Fields 212 Operations research, mathematical programming (90-XX) 150 Numerical analysis (65-XX) 137 Linear and multilinear algebra; matrix theory (15-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 28 Combinatorics (05-XX) 15 General and overarching topics; collections (00-XX) 12 Differential geometry (53-XX) 9 Operator theory (47-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Real functions (26-XX) 8 Quantum theory (81-XX) 7 Approximations and expansions (41-XX) 6 Mechanics of deformable solids (74-XX) 5 Algebraic geometry (14-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 4 Biology and other natural sciences (92-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 330 Publications have been cited 8,862 times in 2,985 Documents Cited by ▼ Year ▼ A nonsmooth version of Newton’s method. Zbl 0780.90090Qi, Liqun; Sun, Jie 653 1993 Eigenvalues of a real supersymmetric tensor. Zbl 1125.15014Qi, Liqun 616 2005 Convergence analysis of some algorithms for solving nonsmooth equations. Zbl 0776.65037Qi, Liqun 347 1993 A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. Zbl 0989.90124Qi, Liqun; Sun, Defeng; Zhou, Guanglu 195 2000 Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036Ng, Michael; Qi, Liqun; Zhou, Guanglu 167 2010 Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082Pang, Jong-Shi; Qi, Liqun 154 1993 Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001Qi, Liqun; Luo, Ziyan 140 2017 \(M\)-tensors and some applications. Zbl 1307.15034Zhang, Liping; Qi, Liqun; Zhou, Guanglu 135 2014 \(M\)-tensors and nonsingular \(M\)-tensors. Zbl 1283.15074Ding, Weiyang; Qi, Liqun; Wei, Yimin 135 2013 Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143Chen, X.; Qi, L.; Sun, D. 134 1998 Symmetric nonnegative tensors and copositive tensors. Zbl 1281.15025Qi, Liqun 125 2013 A smoothing method for mathematical programs with equilibrium constraints. Zbl 0959.65079Facchinei, Francisco; Jiang, Houyuan; Qi, Liqun 116 1999 Eigenvalues and invariants of tensors. Zbl 1113.15020Qi, Liqun 114 2007 Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 94 2000 On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037Qi, Liqun; Wei, Zengxin 93 2000 An eigenvalue method for testing positive definiteness of a multivariate form. Zbl 1367.93565Ni, Qin; Qi, Liqun; Wang, Fei 87 2008 Properties of some classes of structured tensors. Zbl 1390.15085Song, Yisheng; Qi, Liqun 87 2015 Z-eigenvalue methods for a global polynomial optimization problem. Zbl 1169.90022Qi, Liqun; Wang, Fei; Wang, Yiju 83 2009 Higher order positive semidefinite diffusion tensor imaging. Zbl 1197.92032Qi, Liqun; Yu, Gaohang; Wu, Ed X. 82 2010 \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134Qi, Liqun 80 2014 On determinants and eigenvalue theory of tensors. Zbl 1259.15038Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun 78 2013 Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174Che, Maolin; Qi, Liqun; Wei, Yimin 77 2016 A new nonsmooth equations approach to nonlinear complementarity problems. Zbl 0872.90097Jiang, Houyuan; Qi, Liqun 74 1997 The sparsest solutions to \(Z\)-tensor complementarity problems. Zbl 1394.90540Luo, Ziyan; Qi, Liqun; Xiu, Naihua 73 2017 New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054Wei, Zengxin; Li, Guoyin; Qi, Liqun 71 2006 Algebraic connectivity of an even uniform hypergraph. Zbl 1261.05072Hu, Shenglong; Qi, Liqun 70 2012 Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803Song, Yisheng; Qi, Liqun 70 2016 Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Zbl 1282.05171Hu, Shenglong; Qi, Liqun; Shao, Jia-Yu 70 2013 On NCP-functions. Zbl 1040.90544Sun, Defeng; Qi, Liqun 68 1999 Formulating an \(n\)-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120Huang, Zheng-Hai; Qi, Liqun 68 2017 D-eigenvalues of diffusion kurtosis tensors. Zbl 1176.65046Qi, Liqun; Wang, Yiju; Wu, Ed X. 64 2008 A practical method for computing the largest \(M\)-eigenvalue of a fourth-order partially symmetric tensor. Zbl 1224.65101Wang, Yiju; Qi, Liqun; Zhang, Xinzhen 63 2009 A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015Chang, Kungching; Qi, Liqun; Zhang, Tan 62 2013 The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081Li, Guoyin; Qi, Liqun; Yu, Gaohang 60 2013 Inexact Newton methods for solving nonsmooth equations. Zbl 0833.65045Martínez, José Mario; Qi, Liqun 59 1995 Numerical multilinear algebra and its applications. Zbl 1134.65033Qi, Liqun; Sun, Wenyu; Wang, Yiju 58 2007 Biquadratic optimization over unit spheres and semidefinite programming relaxations. Zbl 1221.90074Ling, Chen; Nie, Jiawang; Qi, Liqun; Ye, Yinyu 56 2009 Tensor eigenvalues and their applications. Zbl 1398.15001Qi, Liqun; Chen, Haibin; Chen, Yannan 55 2018 An even order symmetric \(B\) tensor is positive definite. Zbl 1295.15017Qi, Liqun; Song, Yisheng 53 2014 The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph. Zbl 1288.05157Hu, Shenglong; Qi, Liqun 50 2014 The extremal spectral radii of \(k\)-uniform supertrees. Zbl 1378.90084Li, Honghai; Shao, Jia-Yu; Qi, Liqun 49 2016 Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP. Zbl 1168.90646Huang, Zheng-Hai; Qi, Liqun; Sun, Defeng 47 2004 A globally and superlinearly convergent algorithm for nonsmooth convex minimization. Zbl 0868.90109Fukushima, Masao; Qi, Liqun 46 1996 Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems. Zbl 0820.90102Qi, Liqun 46 1994 Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117Qi, Liqun; Sun, Defeng 45 2000 Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035Hu, Shenglong; Huang, Zhenghai; Qi, Liqun 45 2014 Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines. Zbl 1121.14050Qi, Liqun 45 2006 Spectral properties of positively homogeneous operators induced by higher order tensors. Zbl 1355.15009Song, Yisheng; Qi, Liqun 42 2013 The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph. Zbl 1305.05129Hu, Shenglong; Qi, Liqun; Xie, Jinshan 42 2015 Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017Qi, L.; Sun, D. 41 2002 Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036Song, Yisheng; Qi, Liqun 41 2017 The best rank-1 approximation of a symmetric tensor and related spherical optimization problems. Zbl 1269.15026Zhang, Xinzhen; Ling, Chen; Qi, Liqun 41 2012 Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253Chen, Haibin; Qi, Liqun; Song, Yisheng 41 2018 Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004Qi, Liqun; Dai, Hui-Hui; Han, Deren 40 2009 Semismooth Karush-Kuhn-Tucker equations and convergence analysis of Newton and quasi-Newton methods for solving these equations. Zbl 0881.65054Qi, Liqun; Jiang, Houyuan 39 1997 Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129Zhang, Liping; Qi, Liqun 38 2012 Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114Qi, Liqun; Xu, Changqing; Xu, Yi 38 2014 Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006Han, Deren; Dai, H. H.; Qi, Liqun 37 2009 The degree of the E-characteristic polynomial of an even order tensor. Zbl 1154.15304Ni, Guyan; Qi, Liqun; Wang, Fei; Wang, Yiju 37 2007 Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023Chen, Haibin; Qi, Liqun 37 2015 A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109Qi, Liqun; Chen, Xiaojun 36 1995 A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization. Zbl 0999.90038Qi, Hou-Duo; Qi, Liqun 36 2000 Multivariate polynomial minimization and its application in signal processing. Zbl 1023.90064Qi, Liqun; Teo, Kok Lay 36 2003 A globally convergent Newton method for convex \(SC^ 1\) minimization problems. Zbl 0831.90095Pang, J. S.; Qi, L. 35 1995 A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029Chen, Xiaojun; Qi, Liqun 35 1994 Active-set projected trust-region algorithm for box-constrained nonsmooth equations. Zbl 1140.65331Qi, L.; Tong, X. J.; Li, D. H. 35 2004 Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020Qi, Liqun 35 2015 A trust region method for solving generalized complementarity problems. Zbl 0911.90324Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng 34 1998 A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems. Zbl 1079.90094Sun, Jie; Sun, Defeng; Qi, Liqun 34 2004 Singular values of a real rectangular tensor. Zbl 1201.15003Chang, Kungching; Qi, Liqun; Zhou, Guanglu 33 2010 On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solutions. Zbl 1069.65055Tong, X. J.; Qi, L. 33 2004 Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026Song, Yisheng; Qi, Liqun 33 2015 Descent directions of quasi-Newton methods for symmetric nonlinear equations. Zbl 1047.65032Gu, Guang-Ze; Li, Dong-Hui; Qi, Liqun; Zhou, Shu-Zi 32 2002 Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 1454.90098Song, Yisheng; Qi, Liqun 32 2017 A smoothing Newton method for semi-infinite programming. Zbl 1066.90131Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi 32 2004 Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027Song, Yisheng; Qi, Liqun 32 2014 Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu 32 2003 A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042Qi, L.; Sun, D. 31 1999 Secant methods for semismooth equations. Zbl 0914.65051Potra, Florian A.; Qi, Liqun; Sun, Defeng 31 1998 New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055Wei, Zengxin; Li, Guoyin; Qi, Liqun 31 2006 The best rank-one approximation ratio of a tensor space. Zbl 1228.15010Qi, Liqun 31 2011 On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008Ling, Chen; He, Hongjin; Qi, Liqun 31 2016 Regular uniform hypergraphs, \(s\)-cycles, \(s\)-paths and their largest Laplacian H-eigenvalues. Zbl 1282.05174Qi, Liqun; Shao, Jia-Yu; Wang, Qun 31 2014 A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150Ni, Qin; Qi, Liqun 30 2015 Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems. Zbl 1198.65091Wei, Zeng Xin; Li, Guo Yin; Qi, Li Qun 29 2008 Comments on: “Explicit criterion for the positive definiteness of a general quartic form” by W. H. Ku. Zbl 1365.13048Wang, Fei; Qi, Liqun 29 2005 Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun 29 2017 Computing block-angular Karmarkar projections with applications to stochastic programming. Zbl 0664.90051Birge, John R.; Qi, Liqun 29 1988 Some simple estimates for singular values of a matrix. Zbl 0525.15009Qi, Liqun 29 1984 \(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications. Zbl 1396.15020Ding, Weiyang; Luo, Ziyan; Qi, Liqun 29 2018 Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun 28 2018 Tensor complementarity problems. I: Basic theory. Zbl 1434.90203Huang, Zheng-Hai; Qi, Liqun 28 2019 On the minimum norm solution of linear programs. Zbl 1043.90046Kanzow, C.; Qi, H.; Qi, L. 27 2003 The Laplacian of a uniform hypergraph. Zbl 1309.05120Hu, Shenglong; Qi, Liqun 27 2015 A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed 26 2018 A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. Zbl 1438.65060Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun 25 2018 A trust region algorithm for minimization of locally Lipschitzian functions. Zbl 0821.90108Qi, Liqun; Sun, Jie 25 1994 Tensor complementarity problems. II: Solution methods. Zbl 1429.90082Qi, Liqun; Huang, Zheng-Hai 25 2019 A feasible sequential linear equation method for inequality constrained optimization. Zbl 1101.90394Yang, Yu-Fei; Li, Dong-Hui; Qi, Liqun 24 2003 Differentiability and semismoothness properties of integral functions and their applications. Zbl 1079.90143Qi, Liqun; Shapiro, Alexander; Ling, Chen 23 2005 Spectral norm and nuclear norm of a third order tensor. Zbl 07475159Qi, Liqun; Hu, Shenglong; Xu, Yanwei 2 2022 T-Jordan canonical form and T-Drazin inverse based on the T-product. Zbl 1476.15045Miao, Yun; Qi, Liqun; Wei, Yimin 3 2021 Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen 2 2021 Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751Song, Yisheng; Qi, Liqun 1 2021 Generalized tensor function via the tensor singular value decomposition based on the T-product. Zbl 1437.15034Miao, Yun; Qi, Liqun; Wei, Yimin 16 2020 Modified gradient dynamic approach to the tensor complementarity problem. Zbl 1432.37105Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin 10 2020 Further study on tensor absolute value equations. Zbl 1469.15017Ling, Chen; Yan, Weijie; He, Hongjin; Qi, Liqun 5 2020 Elasticity \(\mathcal{M} \)-tensors and the strong ellipticity condition. Zbl 1433.74028Ding, Weiyang; Liu, Jinjie; Qi, Liqun; Yan, Hong 4 2020 Expected residual minimization method for monotone stochastic tensor complementarity problem. Zbl 1466.90113Ming, Zhenyu; Zhang, Liping; Qi, Liqun 3 2020 M-eigenvalues of the Riemann curvature tensor of conformally flat manifolds. Zbl 1474.53192Miao, Yun; Qi, Liqun; Yiminwei 1 2020 The generalized order tensor complementarity problems. Zbl 1463.90221Che, Maolin; Qi, Liqun; Wei, Yimin 1 2020 Stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. Zbl 1454.60117Huang, Zheng-Hai; Qi, Liqun 1 2020 Tensor complementarity problems. I: Basic theory. Zbl 1434.90203Huang, Zheng-Hai; Qi, Liqun 28 2019 Tensor complementarity problems. II: Solution methods. Zbl 1429.90082Qi, Liqun; Huang, Zheng-Hai 25 2019 Tensor complementarity problems. III: Applications. Zbl 1433.90169Huang, Zheng-Hai; Qi, Liqun 23 2019 Stochastic \(R_0\) tensors to stochastic tensor complementarity problems. Zbl 1417.90108Che, Maolin; Qi, Liqun; Wei, Yimin 15 2019 Test of copositive tensors. Zbl 1463.65141Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun 8 2019 Birkhoff-von Neumann theorem and decomposition for doubly stochastic tensors. Zbl 1425.65065Chen, Haibin; Qi, Liqun; Caccetta, Louis; Zhou, Guanglu 6 2019 Nonnegative tensors revisited: plane stochastic tensors. Zbl 1412.15010Che, Maolin; Bu, Changjiang; Qi, Liqun; Wei, Yimin 5 2019 Two irreducible functional bases of isotropic invariants of a fourth-order three-dimensional symmetric and traceless tensor. Zbl 07273355Chen, Zhongming; Chen, Yannan; Qi, Liqun; Zou, Wennan 1 2019 Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor. Zbl 1411.15020Chen, Yannan; Hu, Shenglong; Qi, Liqun; Zou, Wennan 1 2019 Tensor eigenvalues and their applications. Zbl 1398.15001Qi, Liqun; Chen, Haibin; Chen, Yannan 55 2018 Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253Chen, Haibin; Qi, Liqun; Song, Yisheng 41 2018 \(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications. Zbl 1396.15020Ding, Weiyang; Luo, Ziyan; Qi, Liqun 29 2018 Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun 28 2018 A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed 26 2018 A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. Zbl 1438.65060Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun 25 2018 Tensor absolute value equations. Zbl 1401.15024Du, Shouqiang; Zhang, Liping; Chen, Chiyu; Qi, Liqun 22 2018 Global uniqueness and solvability of tensor variational inequalities. Zbl 1409.90207Wang, Yong; Huang, Zheng-Hai; Qi, Liqun 21 2018 A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors. Zbl 1397.65047He, Hongjin; Ling, Chen; Qi, Liqun; Zhou, Guanglu 21 2018 Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015Huang, Zheng-Hai; Qi, Liqun 14 2018 Octupolar tensors for liquid crystals. Zbl 1383.82065Chen, Yannan; Qi, Liqun; Virga, Epifanio G. 13 2018 Spectral radii of two kinds of uniform hypergraphs. Zbl 1427.05136Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying 6 2018 An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor. Zbl 1467.74009Chen, Zhongming; Liu, Jinjie; Qi, Liqun; Zheng, Quanshui; Zou, Wennan 5 2018 How entangled can a multi-party system possibly be? Zbl 1428.81030Qi, Liqun; Zhang, Guofeng; Ni, Guyan 5 2018 Computing the \(p\)-spectral radii of uniform hypergraphs with applications. Zbl 1386.05103Chang, Jingya; Ding, Weiyang; Qi, Liqun; Yan, Hong 4 2018 \(M\)-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012Qi, Liqun; Wei, Yimin; Xiang, Hua 4 2018 Some properties and applications of odd-colorable \(r\)-hypergraphs. Zbl 1377.05133Yuan, Xiying; Qi, Liqun; Shao, Jiayu; Ouyang, Chen 2 2018 A quadratic penalty method for hypergraph matching. Zbl 1393.90093Cui, Chunfeng; Li, Qingna; Qi, Liqun; Yan, Hong 2 2018 Isotropic polynomial invariants of Hall tensor. Zbl 1416.15020Liu, Jinjie; Ding, Weiyang; Qi, Liqun; Zou, Wennan 2 2018 A note on the multidimensional moment problem. Zbl 1405.44007Qi, Liqun 2 2018 Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001Qi, Liqun; Luo, Ziyan 140 2017 The sparsest solutions to \(Z\)-tensor complementarity problems. Zbl 1394.90540Luo, Ziyan; Qi, Liqun; Xiu, Naihua 73 2017 Formulating an \(n\)-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120Huang, Zheng-Hai; Qi, Liqun 68 2017 Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036Song, Yisheng; Qi, Liqun 41 2017 Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 1454.90098Song, Yisheng; Qi, Liqun 32 2017 Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun 29 2017 Programmable criteria for strong \(\mathcal {H}\)-tensors. Zbl 1357.65048Li, Yaotang; Liu, Qilong; Qi, Liqun 14 2017 The first few unicyclic and bicyclic hypergraphs with largest spectral radii. Zbl 1365.15024Ouyang, Chen; Qi, Liqun; Yuan, Xiying 13 2017 The Fiedler vector of a Laplacian tensor for hypergraph partitioning. Zbl 1375.05184Chen, Yannan; Qi, Liqun; Zhang, Xiaoyan 10 2017 Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms. Zbl 1360.65121Ding, Weiyang; Qi, Liqun; Wei, Yimin 7 2017 The adjacency and signless Laplacian spectra of cored hypergraphs and power hypergraphs. Zbl 1368.05099Yue, Jun-Jie; Zhang, Li-Ping; Lu, Mei; Qi, Li-Qun 6 2017 Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin 4 2017 Improved approximation results on standard quartic polynomial optimization. Zbl 1410.90167Ling, Chen; He, Hongjin; Qi, Liqun 3 2017 New classes of positive semi-definite Hankel tensors. Zbl 1409.15008Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi 3 2017 Iterative algorithms for computing US- and U-eigenpairs of complex tensors. Zbl 1357.65042Che, Maolin; Qi, Liqun; Wei, Yimin 3 2017 Infinite-dimensional Hilbert tensors on spaces of analytic functions. Zbl 1390.30058Song, Yisheng; Qi, Liqun 2 2017 Tensor and hypergraph. Zbl 1391.00053 1 2017 Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174Che, Maolin; Qi, Liqun; Wei, Yimin 77 2016 Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803Song, Yisheng; Qi, Liqun 70 2016 The extremal spectral radii of \(k\)-uniform supertrees. Zbl 1378.90084Li, Honghai; Shao, Jia-Yu; Qi, Liqun 49 2016 On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008Ling, Chen; He, Hongjin; Qi, Liqun 31 2016 Eigenvalue analysis of constrained minimization problem for homogeneous polynomial. Zbl 1341.15009Song, Yisheng; Qi, Liqun 21 2016 Computing extreme eigenvalues of large scale Hankel tensors. Zbl 1377.65046Chen, Yannan; Qi, Liqun; Wang, Qun 16 2016 Circulant tensors with applications to spectral hypergraph theory and stochastic process. Zbl 1364.15017Chen, Zhongming; Qi, Liqun 15 2016 Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. Zbl 1349.15026Luo, Ziyan; Qi, Liqun 15 2016 The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs. Zbl 1330.15025Yuan, Xiying; Qi, Liqun; Shao, Jiayu 13 2016 SOS tensor decomposition: theory and applications. Zbl 1351.90148Chen, Haibin; Li, Guoyin; Qi, Liqun 13 2016 A semismooth Newton method for tensor eigenvalue complementarity problem. Zbl 1377.90096Chen, Zhongming; Qi, Liqun 12 2016 Higher-degree eigenvalue complementarity problems for tensors. Zbl 1338.15027Ling, Chen; He, Hongjin; Qi, Liqun 12 2016 A tensor analogy of Yuan’s theorem of the alternative and polynomial optimization with sign structure. Zbl 1338.90317Hu, Shenglong; Li, Guoyin; Qi, Liqun 10 2016 Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors. Zbl 1334.15025Chen, Yannan; Qi, Liqun; Wang, Qun 10 2016 Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun 10 2016 Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048Chen, Haibin; Li, Guoyin; Qi, Liqun 8 2016 Spectral directed hypergraph theory via tensors. Zbl 1335.05125Xie, Jinshan; Qi, Liqun 7 2016 Perturbation bounds of tensor eigenvalue and singular value problems with even order. Zbl 1344.15007Che, Maolin; Qi, Liqun; Wei, Yimin 6 2016 Computing eigenvalues of large scale sparse tensors arising from a hypergraph. Zbl 1350.05109Chang, Jingya; Chen, Yannan; Qi, Liqun 6 2016 A necessary and sufficient condition for existence of a positive Perron vector. Zbl 1355.15019Hu, Shenglong; Qi, Liqun 5 2016 Positive semi-definiteness of generalized anti-circulant tensors. Zbl 1353.15026Li, Guoyin; Qi, Liqun; Wang, Qun 4 2016 Spectral properties of odd-bipartite \(Z\)-tensors and their absolute tensors. Zbl 1360.90237Chen, Haibin; Qi, Liqun 3 2016 \(\{0,1\}\) completely positive tensors and multi-hypergraphs. Zbl 1354.05099Xu, Changqing; Luo, Ziyan; Qi, Liqun; Chen, Zhibing 3 2016 Linear algebra and multilinear algebra. Zbl 1360.00134 1 2016 Properties of some classes of structured tensors. Zbl 1390.15085Song, Yisheng; Qi, Liqun 87 2015 The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph. Zbl 1305.05129Hu, Shenglong; Qi, Liqun; Xie, Jinshan 42 2015 Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023Chen, Haibin; Qi, Liqun 37 2015 Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020Qi, Liqun 35 2015 Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026Song, Yisheng; Qi, Liqun 33 2015 A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150Ni, Qin; Qi, Liqun 30 2015 The Laplacian of a uniform hypergraph. Zbl 1309.05120Hu, Shenglong; Qi, Liqun 27 2015 Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070Ding, Weiyang; Qi, Liqun; Wei, Yimin 21 2015 Some new trace formulas of tensors with applications in spectral hypergraph theory. Zbl 1310.15042Shao, Jia-Yu; Qi, Liqun; Hu, Shenglong 16 2015 \(MB\)-tensors and \(MB_0\)-tensors. Zbl 1325.15022Li, Chaoqian; Qi, Liqun; Li, Yaotang 14 2015 Linear operators and positive semidefiniteness of symmetric tensor spaces. Zbl 1308.15025Luo, ZiYan; Qi, LiQun; Ye, YinYu 10 2015 On solving a class of linear semi-infinite programming by SDP method. Zbl 1311.90160Xu, Yi; Sun, Wenyu; Qi, Liqun 7 2015 The clique and coclique numbers’ bounds based on the H-eigenvalues of uniform hypergraphs. Zbl 1329.05221Xie, Jinshan; Qi, Liqun 4 2015 Three dimensional strongly symmetric circulant tensors. Zbl 1321.15043Qi, Liqun; Wang, Qun; Chen, Yannan 2 2015 \(M\)-tensors and some applications. Zbl 1307.15034Zhang, Liping; Qi, Liqun; Zhou, Guanglu 135 2014 \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134Qi, Liqun 80 2014 An even order symmetric \(B\) tensor is positive definite. Zbl 1295.15017Qi, Liqun; Song, Yisheng 53 2014 The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph. Zbl 1288.05157Hu, Shenglong; Qi, Liqun 50 2014 ...and 230 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,851 Authors 207 Qi, Liqun 59 Huang, Zheng-Hai 49 Ma, Changfeng 46 Wang, Yiju 45 Wei, Yimin 42 Kanzow, Christian 36 Chen, Jein-Shan 35 Hu, ShengLong 34 Martínez, José Mario 34 Zhang, Liwei 33 Wei, Zengxin 33 Yuan, Gonglin 31 Li, Chaoqian 30 Bu, Changjiang 30 Sun, Defeng 29 Li, Yaotang 29 Ling, Chen 28 Jian, Jinbao 27 Zhou, Guanglu 26 Chen, Haibin 26 Chen, Xiaojun 26 Sun, Jie 25 Zhang, Liping 22 Fukushima, Masao 22 Tang, Jingyong 22 Zhang, Xinzhen 21 Andreani, Roberto 21 Li, Wen 20 Chen, Yannan 20 Du, Shouqiang 20 Liu, Sanyang 20 Song, Yisheng 20 Wu, Soon-Yi 19 He, Jun 19 Li, Donghui 19 Pu, Dingguo 19 Zhou, Jinchuan 18 Gao, Yan 18 Sun, Wenyu 18 Xiu, Naihua 18 Zhao, Jianxing 17 Pan, Shaohua 16 Fang, Liang 16 Kang, Liying 16 Toh, Kim Chuan 16 Tong, Xiaojiao 16 Zhang, Jianzhong 15 Che, Maolin 15 Fan, Yizheng 15 Haeser, Gabriel 15 Li, Guoyin 15 Yang, Qingzhi 14 Birgin, Ernesto G. 14 Chiou, Suh-Wen 14 He, Hongjin 14 Liu, Hongwei 14 Liu, Yanmin 14 Ng, Michael Kwok-Po 14 Ou, Yigui 14 Pang, Jong-Shi 14 Yang, Xiaoqi 13 Dong, Li 13 Li, Zhening 13 Liao, Li-Zhi 13 Ni, Qin 13 Nie, Jiawang 13 Qi, Houduo 13 Sang, Caili 13 Shen, Chungen 13 Vong, Seakweng 13 Wang, Qingwen 13 Zhou, Jiang 12 Che, Haitao 12 Ding, Weiyang 12 Fan, Jinyan 12 Ferreira, Orizon Pereira 12 Shao, Jiayu 12 Śmietański, Marek J. 12 Wan, Zhong 12 Wang, Ligong 12 Yang, Yuning 12 Yuan, Xiying 12 Zhang, Shuzhong 11 Chang, An 11 Han, Deren 11 Lin, Guihua 11 Shan, Erfang 11 Sheng, Zhou 11 Stechlinski, Peter G. 11 Sun, Zhe 11 Tang, Jia 11 Tawhid, Mohamed Aly 11 Wang, Changyu 11 Xu, Yi 11 Zheng, Bing 11 Zhu, Detong 11 Zhu, Zhibin 10 Babaie-Kafaki, Saman 10 Barton, Paul I. 10 Cui, Lubin ...and 2,751 more Authors all top 5 Cited in 301 Serials 199 Journal of Optimization Theory and Applications 163 Applied Mathematics and Computation 161 Computational Optimization and Applications 157 Journal of Computational and Applied Mathematics 142 Linear Algebra and its Applications 117 Mathematical Programming. 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Theory, Methods & Applications 5 Mathematics and Computers in Simulation 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Numerical Analysis 5 Journal of Mathematical Sciences (New York) 5 Journal of Convex Analysis 5 ELA. The Electronic Journal of Linear Algebra 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Positivity 5 Structural and Multidisciplinary Optimization 5 4OR 5 Discrete Optimization 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 SIAM Journal on Applied Algebra and Geometry 5 Communications on Applied Mathematics and Computation 4 Journal of the Franklin Institute 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Mechanics. (English Edition) 4 Computational Mechanics 4 Vietnam Journal of Mathematics 4 Taiwanese Journal of Mathematics 4 Soft Computing ...and 201 more Serials all top 5 Cited in 51 Fields 1,810 Operations research, mathematical programming (90-XX) 1,280 Numerical analysis (65-XX) 736 Linear and multilinear algebra; matrix theory (15-XX) 446 Calculus of variations and optimal control; optimization (49-XX) 188 Combinatorics (05-XX) 97 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Mechanics of deformable solids (74-XX) 89 Operator theory (47-XX) 83 Computer science (68-XX) 55 Partial differential equations (35-XX) 45 Systems theory; control (93-XX) 42 Probability theory and stochastic processes (60-XX) 41 Algebraic geometry (14-XX) 40 Statistics (62-XX) 38 Information and communication theory, circuits (94-XX) 31 Real functions (26-XX) 27 Fluid mechanics (76-XX) 26 Ordinary differential equations (34-XX) 24 Differential geometry (53-XX) 23 Quantum theory (81-XX) 20 Convex and discrete geometry (52-XX) 15 Commutative algebra (13-XX) 15 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Mechanics of particles and systems (70-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Approximations and expansions (41-XX) 6 Field theory and polynomials (12-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 4 Functions of a complex variable (30-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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