zbMATH — the first resource for mathematics

Qi, Liqun

Compute Distance To:
 Author ID: qi.liqun Published as: Qi, L.; Qi, L. Q.; Qi, Li Qun; Qi, Li-Qun; Qi, Li-qun; Qi, LiQun; Qi, Liquin; Qi, Liqun Homepage: http://www.polyu.edu.hk/ama/staff/new/QiLQ.htm External Links: ResearchGate · dblp · GND
 Documents Indexed: 364 Publications since 1979, including 10 Books
all top 5

Co-Authors

 34 single-authored 28 Ling, Chen 22 Zhou, Guanglu 21 Sun, Defeng 17 Hu, ShengLong 17 Huang, Zheng-Hai 15 Wei, Yimin 14 Song, Yisheng 14 Wei, Zengxin 13 Chen, Yannan 13 Li, Guoyin 13 Tong, Xiaojiao 12 Qi, Houduo 12 Zhang, Xinzhen 11 Chen, Xiaojun 11 Wu, Soon-Yi 10 Chen, Haibin 10 Sun, Wenyu 10 Wang, Yiju 9 Birge, John R. 9 Li, Donghui 9 Xu, Yi 8 Che, Maolin 8 Jiang, Houyuan 8 Yang, Yufei 8 Yin, Hongxia 7 Ding, Weiyang 7 Fukushima, Masao 7 Luo, ZiYan 6 Han, Deren 6 Shao, Jiayu 6 Teo, Kok Lay 6 Wang, Qun 6 Xu, Changqing 5 Chen, Zhongming 5 He, Hongjin 5 Liao, Li-Zhi 5 Womersley, Robert S. 5 Wu, Ed Xuekui 5 Yang, Qingzhi 5 Yu, Gaohang 5 Zhang, Liping 4 Caccetta, Louis 4 Dontchev, Asen L. 4 Liu, Jinjie 4 Ni, Qin 4 Sun, Jie 4 Wang, Fei 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 Ng, Michael Kwok-Po 3 Ni, Guyan 3 Polak, Elijah (Lucien) 3 Xie, Jinshan 3 Yang, Xiaoqi 3 Yang, Yuning 2 Balas, Egon 2 Chang, Kung-Ching 2 Chen, Jinhai 2 Chen, Xin 2 Chi, Zongtao 2 Dai, Hui-Hui 2 Gwan, Geena 2 Kelley, Carl T. 2 Li, Yaotang 2 Miao, Yun 2 Mifflin, Robert 2 Mo, Jiangtao 2 Nashed, Zuhair 2 Ouyang, Chen 2 Pang, Jong-Shi 2 Tseng, Paul 2 Wei, Zhi 2 Zhang, Guofeng 2 Zhang, Tan 1 Alqahtani, Mohammed 1 Bai, Minru 1 Bai, Zhengjian 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 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 76 more Co-Authors
all top 5

Serials

 28 Journal of Optimization Theory and Applications 21 Linear Algebra and its Applications 20 Journal of Global Optimization 19 SIAM Journal on Optimization 17 Computational Optimization and Applications 15 Mathematical Programming. Series A. Series B 14 Journal of Computational and Applied Mathematics 14 Numerical Linear Algebra with Applications 12 Frontiers of Mathematics in China 10 SIAM Journal on Matrix Analysis and Applications 9 Applied Mathematics and Computation 8 Mathematics of Operations Research 8 Communications in Mathematical Sciences 7 Journal of Mathematical Analysis and Applications 7 Journal of Industrial and Management 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 Combinatorial Optimization 5 Pacific Journal of Optimization 4 Mathematics of Computation 4 Journal of Scientific Computing 4 Annals of Operations Research 4 Optimization Letters 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 Science China. Mathematics 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 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 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Annals of Applied Mathematics 1 Other Titles in Applied Mathematics
all top 5

Fields

 205 Operations research, mathematical programming (90-XX) 143 Numerical analysis (65-XX) 126 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) 10 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) 7 Approximations and expansions (41-XX) 7 Quantum theory (81-XX) 5 Algebraic geometry (14-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-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 Group theory and generalizations (20-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)

Citations contained in zbMATH

319 Publications have been cited 7,761 times in 2,626 Documents Cited by Year
A nonsmooth version of Newton’s method. Zbl 0780.90090
Qi, Liqun; Sun, Jie
1993
Eigenvalues of a real supersymmetric tensor. Zbl 1125.15014
Qi, Liqun
2005
Convergence analysis of some algorithms for solving nonsmooth equations. Zbl 0776.65037
Qi, Liqun
1993
A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. Zbl 0989.90124
Qi, Liqun; Sun, Defeng; Zhou, Guanglu
2000
Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082
Pang, Jong-Shi; Qi, Liqun
1993
Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036
Ng, Michael; Qi, Liqun; Zhou, Guanglu
2010
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143
Chen, X.; Qi, L.; Sun, D.
1998
$$M$$-tensors and some applications. Zbl 1307.15034
Zhang, Liping; Qi, Liqun; Zhou, Guanglu
2014
$$M$$-tensors and nonsingular $$M$$-tensors. Zbl 1283.15074
Ding, Weiyang; Qi, Liqun; Wei, Yimin
2013
A smoothing method for mathematical programs with equilibrium constraints. Zbl 0959.65079
Facchinei, Francisco; Jiang, Houyuan; Qi, Liqun
1999
Symmetric nonnegative tensors and copositive tensors. Zbl 1281.15025
Qi, Liqun
2013
Eigenvalues and invariants of tensors. Zbl 1113.15020
Qi, Liqun
2007
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
2017
On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
2000
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
2000
$$H^{+}$$-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
2014
Higher order positive semidefinite diffusion tensor imaging. Zbl 1197.92032
Qi, Liqun; Yu, Gaohang; Wu, Ed X.
2010
Z-eigenvalue methods for a global polynomial optimization problem. Zbl 1169.90022
Qi, Liqun; Wang, Fei; Wang, Yiju
2009
An eigenvalue method for testing positive definiteness of a multivariate form. Zbl 1367.93565
Ni, Qin; Qi, Liqun; Wang, Fei
2008
Properties of some classes of structured tensors. Zbl 1390.15085
Song, Yisheng; Qi, Liqun
2015
On determinants and eigenvalue theory of tensors. Zbl 1259.15038
Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun
2013
A new nonsmooth equations approach to nonlinear complementarity problems. Zbl 0872.90097
Jiang, Houyuan; Qi, Liqun
1997
Algebraic connectivity of an even uniform hypergraph. Zbl 1261.05072
Hu, Shenglong; Qi, Liqun
2012
New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054
Wei, Zengxin; Li, Guoyin; Qi, Liqun
2006
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
2016
D-eigenvalues of diffusion kurtosis tensors. Zbl 1176.65046
Qi, Liqun; Wang, Yiju; Wu, Ed X.
2008
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
1999
Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Zbl 1282.05171
Hu, Shenglong; Qi, Liqun; Shao, Jia-Yu
2013
The sparsest solutions to $$Z$$-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
2017
The $$Z$$-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
2013
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
2013
Inexact Newton methods for solving nonsmooth equations. Zbl 0833.65045
Martínez, José Mario; Qi, Liqun
1995
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
2016
Numerical multilinear algebra and its applications. Zbl 1134.65033
Qi, Liqun; Sun, Wenyu; Wang, Yiju
2007
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
An even order symmetric $$B$$ tensor is positive definite. Zbl 1295.15017
Qi, Liqun; Song, Yisheng
2014
Biquadratic optimization over unit spheres and semidefinite programming relaxations. Zbl 1221.90074
Ling, Chen; Nie, Jiawang; Qi, Liqun; Ye, Yinyu
2009
The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph. Zbl 1288.05157
Hu, Shenglong; Qi, Liqun
2014
A practical method for computing the largest $$M$$-eigenvalue of a fourth-order partially symmetric tensor. Zbl 1224.65101
Wang, Yiju; Qi, Liqun; Zhang, Xinzhen
2009
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117
Qi, Liqun; Sun, Defeng
2000
Superlinearly convergent approximate Newton methods for LC$$^ 1$$ optimization problems. Zbl 0820.90102
Qi, Liqun
1994
Sub-quadratic convergence of a smoothing Newton algorithm for the $$P_0$$- and monotone LCP. Zbl 1168.90646
Huang, Zheng-Hai; Qi, Liqun; Sun, Defeng
2004
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
2014
The largest Laplacian and signless Laplacian $$H$$-eigenvalues of a uniform hypergraph. Zbl 1305.05129
Hu, Shenglong; Qi, Liqun; Xie, Jinshan
2015
A globally and superlinearly convergent algorithm for nonsmooth convex minimization. Zbl 0868.90109
Fukushima, Masao; Qi, Liqun
1996
Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines. Zbl 1121.14050
Qi, Liqun
2006
The extremal spectral radii of $$k$$-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
2016
Spectral properties of positively homogeneous operators induced by higher order tensors. Zbl 1355.15009
Song, Yisheng; Qi, Liqun
2013
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
2012
The degree of the E-characteristic polynomial of an even order tensor. Zbl 1154.15304
Ni, Guyan; Qi, Liqun; Wang, Fei; Wang, Yiju
2007
Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017
Qi, L.; Sun, D.
2002
A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization. Zbl 0999.90038
Qi, Hou-Duo; Qi, Liqun
2000
Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114
Qi, Liqun; Xu, Changqing; Xu, Yi
2014
A globally convergent Newton method for convex $$SC^ 1$$ minimization problems. Zbl 0831.90095
Pang, J. S.; Qi, L.
1995
A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109
Qi, Liqun; Chen, Xiaojun
1995
The best rank-1 approximation of a symmetric tensor and related spherical optimization problems. Zbl 1269.15026
Zhang, Xinzhen; Ling, Chen; Qi, Liqun
2012
A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems. Zbl 1079.90094
Sun, Jie; Sun, Defeng; Qi, Liqun
2004
Semismooth Karush-Kuhn-Tucker equations and convergence analysis of Newton and quasi-Newton methods for solving these equations. Zbl 0881.65054
Qi, Liqun; Jiang, Houyuan
1997
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
1994
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
2015
Multivariate polynomial minimization and its application in signal processing. Zbl 1023.90064
Qi, Liqun; Teo, Kok Lay
2003
A trust region method for solving generalized complementarity problems. Zbl 0911.90324
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng
1998
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
2017
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
2015
Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137
Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu
2003
Singular values of a real rectangular tensor. Zbl 1201.15003
Chang, Kungching; Qi, Liqun; Zhou, Guanglu
2010
A smoothing Newton method for semi-infinite programming. Zbl 1066.90131
Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi
2004
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
1998
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
2018
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
2018
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; Qi, Liqun
2015
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
2009
Comments on: “Explicit criterion for the positive definiteness of a general quartic form” by W. H. Ku. Zbl 1365.13048
Wang, Fei; Qi, Liqun
2005
Active-set projected trust-region algorithm for box-constrained nonsmooth equations. Zbl 1140.65331
Qi, L.; Tong, X. J.; Li, D. H.
2004
Descent directions of quasi-Newton methods for symmetric nonlinear equations. Zbl 1047.65032
Gu, Guang-Ze; Li, Dong-Hui; Qi, Liqun; Zhou, Shu-Zi
2002
Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027
Song, Yisheng; Qi, Liqun
2014
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems. Zbl 1198.65091
Wei, Zeng Xin; Li, Guo Yin; Qi, Li Qun
2008
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055
Wei, Zengxin; Li, Guoyin; Qi, Liqun
2006
Some simple estimates for singular values of a matrix. Zbl 0525.15009
Qi, Liqun
1984
Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026
Song, Yisheng; Qi, Liqun
2015
On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solutions. Zbl 1069.65055
Tong, X. J.; Qi, L.
2004
A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042
Qi, L.; Sun, D.
1999
Computing block-angular Karmarkar projections with applications to stochastic programming. Zbl 0664.90051
Birge, John R.; Qi, Liqun
1988
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
2016
Regular uniform hypergraphs, $$s$$-cycles, $$s$$-paths and their largest Laplacian H-eigenvalues. Zbl 1282.05174
Qi, Liqun; Shao, Jia-Yu; Wang, Qun
2014
The best rank-one approximation ratio of a tensor space. Zbl 1228.15010
Qi, Liqun
2011
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 06804658
Song, Yisheng; Qi, Liqun
2017
On the minimum norm solution of linear programs. Zbl 1043.90046
Kanzow, C.; Qi, H.; Qi, L.
2003
A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150
Ni, Qin; Qi, Liqun
2015
Differentiability and semismoothness properties of integral functions and their applications. Zbl 1079.90143
Qi, Liqun; Shapiro, Alexander; Ling, Chen
2005
A feasible sequential linear equation method for inequality constrained optimization. Zbl 1101.90394
Yang, Yu-Fei; Li, Dong-Hui; Qi, Liqun
2003
Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses. Zbl 0871.65047
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
1997
Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities. Zbl 0845.65028
Jiang, Houyuan; Qi, Liqun
1995
A trust region algorithm for minimization of locally Lipschitzian functions. Zbl 0821.90108
Qi, Liqun; Sun, Jie
1994
The $$SC^1$$ 1property of an expected residual function arising from stochastic complementarity problems. Zbl 1155.90461
Ling, Chen; Qi, Liqun; Zhou, Guanglu; Caccetta, Louis
2008
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2017
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
2015
Nonnegative diffusion orientation distribution function. Zbl 1276.94004
Qi, Liqun; Yu, Gaohang; Xu, Yi
2013
Linear convergence of the LZI algorithm for weakly positive tensors. Zbl 1265.65065
Zhang, Liping; Qi, Liqun; Xu, Yi
2012
Generalized tensor function via the tensor singular value decomposition based on the T-product. Zbl 1437.15034
Miao, Yun; Qi, Liqun; Wei, Yimin
2020
Modified gradient dynamic approach to the tensor complementarity problem. Zbl 1432.37105
Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin
2020
Tensor complementarity problems. I: Basic theory. Zbl 1434.90203
Huang, Zheng-Hai; Qi, Liqun
2019
Tensor complementarity problems. II: Solution methods. Zbl 1429.90082
Qi, Liqun; Huang, Zheng-Hai
2019
Tensor complementarity problems. III: Applications. Zbl 1433.90169
Huang, Zheng-Hai; Qi, Liqun
2019
Stochastic $$R_0$$ tensors to stochastic tensor complementarity problems. Zbl 1417.90108
Che, Maolin; Qi, Liqun; Wei, Yimin
2019
Test of copositive tensors. Zbl 07084398
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2019
Birkhoff-von Neumann theorem and decomposition for doubly stochastic tensors. Zbl 1425.65065
Chen, Haibin; Qi, Liqun; Caccetta, Louis; Zhou, Guanglu
2019
Nonnegative tensors revisited: plane stochastic tensors. Zbl 1412.15010
Che, Maolin; Bu, Changjiang; Qi, Liqun; Wei, Yimin
2019
Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor. Zbl 1411.15020
Chen, Yannan; Hu, Shenglong; Qi, Liqun; Zou, Wennan
2019
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
2018
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
2018
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2018
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
2018
$$\mathrm{P}$$-tensors, $$\mathrm{P}_0$$-tensors, and their applications. Zbl 1396.15020
Ding, Weiyang; Luo, Ziyan; Qi, Liqun
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 1438.65060
Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun
2018
Tensor absolute value equations. Zbl 1401.15024
Du, Shouqiang; Zhang, Liping; Chen, Chiyu; Qi, Liqun
2018
Global uniqueness and solvability of tensor variational inequalities. Zbl 1409.90207
Wang, Yong; Huang, Zheng-Hai; Qi, Liqun
2018
A globally and quadratically convergent algorithm for solving multilinear systems with $$\mathcal {M}$$-tensors. Zbl 1397.65047
He, Hongjin; Ling, Chen; Qi, Liqun; Zhou, Guanglu
2018
Octupolar tensors for liquid crystals. Zbl 1383.82065
Chen, Yannan; Qi, Liqun; Virga, Epifanio G.
2018
Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015
Huang, Zheng-Hai; Qi, Liqun
2018
An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor. Zbl 06936035
Chen, Zhongming; Liu, Jinjie; Qi, Liqun; Zheng, Quanshui; Zou, Wennan
2018
How entangled can a multi-party system possibly be? Zbl 1428.81030
Qi, Liqun; Zhang, Guofeng; Ni, Guyan
2018
$$M$$-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012
Qi, Liqun; Wei, Yimin; Xiang, Hua
2018
Spectral radii of two kinds of uniform hypergraphs. Zbl 1427.05136
Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying
2018
A note on the multidimensional moment problem. Zbl 1405.44007
Qi, Liqun
2018
Computing the $$p$$-spectral radii of uniform hypergraphs with applications. Zbl 1386.05103
Chang, Jingya; Ding, Weiyang; Qi, Liqun; Yan, Hong
2018
Isotropic polynomial invariants of Hall tensor. Zbl 1416.15020
Liu, Jinjie; Ding, Weiyang; Qi, Liqun; Zou, Wennan
2018
A quadratic penalty method for hypergraph matching. Zbl 1393.90093
Cui, Chunfeng; Li, Qingna; Qi, Liqun; Yan, Hong
2018
Some properties and applications of odd-colorable $$r$$-hypergraphs. Zbl 1377.05133
Yuan, Xiying; Qi, Liqun; Shao, Jiayu; Ouyang, Chen
2018
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
2017
The sparsest solutions to $$Z$$-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
2017
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
2017
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 06804658
Song, Yisheng; Qi, Liqun
2017
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2017
Programmable criteria for strong $$\mathcal {H}$$-tensors. Zbl 1357.65048
Li, Yaotang; Liu, Qilong; Qi, Liqun
2017
The first few unicyclic and bicyclic hypergraphs with largest spectral radii. Zbl 1365.15024
Ouyang, Chen; Qi, Liqun; Yuan, Xiying
2017
The Fiedler vector of a Laplacian tensor for hypergraph partitioning. Zbl 1375.05184
Chen, Yannan; Qi, Liqun; Zhang, Xiaoyan
2017
Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms. Zbl 1360.65121
Ding, Weiyang; Qi, Liqun; Wei, Yimin
2017
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
2017
The adjacency and signless Laplacian spectra of cored hypergraphs and power hypergraphs. Zbl 1368.05099
Yue, Jun-Jie; Zhang, Li-Ping; Lu, Mei; Qi, Li-Qun
2017
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
2017
Iterative algorithms for computing US- and U-eigenpairs of complex tensors. Zbl 1357.65042
Che, Maolin; Qi, Liqun; Wei, Yimin
2017
Infinite-dimensional Hilbert tensors on spaces of analytic functions. Zbl 1390.30058
Song, Yisheng; Qi, Liqun
2017
Tensor and hypergraph. Zbl 1391.00053
Friedland, Shmuel (ed.); Qi, Liqun (ed.); Wei, Yimin (ed.); Yang, Qingzhi (ed.)
2017
Improved approximation results on standard quartic polynomial optimization. Zbl 1410.90167
Ling, Chen; He, Hongjin; Qi, Liqun
2017
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
2016
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
2016
The extremal spectral radii of $$k$$-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
2016
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
2016
Eigenvalue analysis of constrained minimization problem for homogeneous polynomial. Zbl 1341.15009
Song, Yisheng; Qi, Liqun
2016
Computing extreme eigenvalues of large scale Hankel tensors. Zbl 1377.65046
Chen, Yannan; Qi, Liqun; Wang, Qun
2016
Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. Zbl 1349.15026
Luo, Ziyan; Qi, Liqun
2016
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
2016
Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors. Zbl 1334.15025
Chen, Yannan; Qi, Liqun; Wang, Qun
2016
The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs. Zbl 1330.15025
Yuan, Xiying; Qi, Liqun; Shao, Jiayu
2016
Circulant tensors with applications to spectral hypergraph theory and stochastic process. Zbl 1364.15017
Chen, Zhongming; Qi, Liqun
2016
A semismooth Newton method for tensor eigenvalue complementarity problem. Zbl 1377.90096
Chen, Zhongming; Qi, Liqun
2016
A tensor analogy of Yuan’s theorem of the alternative and polynomial optimization with sign structure. Zbl 1338.90317
Hu, Shenglong; Li, Guoyin; Qi, Liqun
2016
Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2016
Higher-degree eigenvalue complementarity problems for tensors. Zbl 1338.15027
Ling, Chen; He, Hongjin; Qi, Liqun
2016
Perturbation bounds of tensor eigenvalue and singular value problems with even order. Zbl 1344.15007
Che, Maolin; Qi, Liqun; Wei, Yimin
2016
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
2016
Computing eigenvalues of large scale sparse tensors arising from a hypergraph. Zbl 1350.05109
Chang, Jingya; Chen, Yannan; Qi, Liqun
2016
Positive semi-definiteness of generalized anti-circulant tensors. Zbl 1353.15026
Li, Guoyin; Qi, Liqun; Wang, Qun
2016
Spectral directed hypergraph theory via tensors. Zbl 1335.05125
Xie, Jinshan; Qi, Liqun
2016
Spectral properties of odd-bipartite $$Z$$-tensors and their absolute tensors. Zbl 1360.90237
Chen, Haibin; Qi, Liqun
2016
A necessary and sufficient condition for existence of a positive Perron vector. Zbl 1355.15019
Hu, Shenglong; Qi, Liqun
2016
$$\{0,1\}$$ completely positive tensors and multi-hypergraphs. Zbl 1354.05099
Xu, Changqing; Luo, Ziyan; Qi, Liqun; Chen, Zhibing
2016
Linear algebra and multilinear algebra. Zbl 1360.00134
Qi, Liqun (ed.); Wei, Yimin (ed.); Xu, Changqing (ed.); Zhang, Tan (ed.)
2016
Properties of some classes of structured tensors. Zbl 1390.15085
Song, Yisheng; Qi, Liqun
2015
The largest Laplacian and signless Laplacian $$H$$-eigenvalues of a uniform hypergraph. Zbl 1305.05129
Hu, Shenglong; Qi, Liqun; Xie, Jinshan
2015
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
2015
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
2015
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; Qi, Liqun
2015
Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026
Song, Yisheng; Qi, Liqun
2015
A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150
Ni, Qin; Qi, Liqun
2015
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
2015
$$MB$$-tensors and $$MB_0$$-tensors. Zbl 1325.15022
Li, Chaoqian; Qi, Liqun; Li, Yaotang
2015
Some new trace formulas of tensors with applications in spectral hypergraph theory. Zbl 1310.15042
Shao, Jia-Yu; Qi, Liqun; Hu, Shenglong
2015
Linear operators and positive semidefiniteness of symmetric tensor spaces. Zbl 1308.15025
Luo, ZiYan; Qi, LiQun; Ye, YinYu
2015
On solving a class of linear semi-infinite programming by SDP method. Zbl 1311.90160
Xu, Yi; Sun, Wenyu; Qi, Liqun
2015
The clique and coclique numbers’ bounds based on the H-eigenvalues of uniform hypergraphs. Zbl 1329.05221
Xie, Jinshan; Qi, Liqun
2015
Three dimensional strongly symmetric circulant tensors. Zbl 1321.15043
Qi, Liqun; Wang, Qun; Chen, Yannan
2015
$$M$$-tensors and some applications. Zbl 1307.15034
Zhang, Liping; Qi, Liqun; Zhou, Guanglu
2014
$$H^{+}$$-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
2014
An even order symmetric $$B$$ tensor is positive definite. Zbl 1295.15017
Qi, Liqun; Song, Yisheng
2014
The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph. Zbl 1288.05157
Hu, Shenglong; Qi, Liqun
2014
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
2014
Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114
Qi, Liqun; Xu, Changqing; Xu, Yi
2014
Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027
Song, Yisheng; Qi, Liqun
2014
Regular uniform hypergraphs, $$s$$-cycles, $$s$$-paths and their largest Laplacian H-eigenvalues. Zbl 1282.05174
Qi, Liqun; Shao, Jia-Yu; Wang, Qun
2014
Geometric measure of entanglement and U-eigenvalues of tensors. Zbl 1306.15023
Ni, Guyan; Qi, Liqun; Bai, Minru
2014
Convergence of a second order Markov chain. Zbl 1334.60143
Hu, Shenglong; Qi, Liqun
2014
Positive eigenvalue-eigenvector of nonlinear positive mappings. Zbl 1309.47066
Song, Yisheng; Qi, Liqun
2014
An alternative steepest direction method for the optimization in evaluating geometric discord. Zbl 1285.81008
Wang, Lyiju; Qi, Liqun; Luo, Shunlong; Xu, Yi
2014
Nonmonotone Barzilai-Borwein gradient algorithm for $$\ell_1$$-regularized nonsmooth minimization in compressive sensing. Zbl 1306.65216
Xiao, Yunhai; Wu, Soon-Yi; Qi, Liqun
2014
Space tensor conic programming. Zbl 1325.90090
Qi, Liqun; Ye, Yinyu
2014
The E-eigenvectors of tensors. Zbl 1308.15007
Hu, Shenglong; Qi, Liqun
2014
...and 219 more Documents
all top 5

Cited by 2,696 Authors

 199 Qi, Liqun 52 Huang, Zheng-Hai 46 Ma, Changfeng 41 Kanzow, Christian 41 Wei, Yimin 40 Wang, Yiju 36 Chen, Jein-Shan 34 Zhang, Liwei 33 Martínez, José Mario 33 Wei, Zengxin 31 Hu, ShengLong 30 Yuan, Gonglin 29 Li, Chaoqian 29 Sun, Defeng 27 Bu, Changjiang 27 Jian, Jinbao 26 Li, Yaotang 26 Ling, Chen 26 Zhang, Liping 25 Sun, Jie 24 Chen, Xiaojun 23 Zhou, Guanglu 22 Fukushima, Masao 20 Chen, Haibin 20 Li, Wen 19 Liu, Sanyang 19 Wu, Soon-Yi 18 Chen, Yannan 18 Gao, Yan 18 Pu, Dingguo 18 Song, Yisheng 18 Sun, Wenyu 18 Zhang, Xinzhen 17 Andreani, Roberto 17 Du, Shouqiang 16 Fang, Liang 16 Li, Donghui 16 Pan, Shaohua 16 Tang, Jingyong 16 Tong, Xiaojiao 16 Xiu, Naihua 16 Zhang, Jianzhong 16 Zhao, Jianxing 16 Zhou, Jinchuan 14 Che, Maolin 14 Chiou, Suh-Wen 14 Li, Guoyin 14 Liu, Hongwei 14 Ng, Michael Kwok-Po 14 Pang, Jong-Shi 14 Toh, Kimchuan 14 Yang, Xiaoqi 13 Birgin, Ernesto G. 13 Dong, Li 13 Kang, Liying 13 Liao, Li-Zhi 13 Yang, Qingzhi 12 Li, Zhening 12 Lin, Guihua 12 Nie, Jiawang 12 Ou, Yigui 12 Shao, Jiayu 12 Shen, Chungen 12 Śmietański, Marek J. 12 Wan, Zhong 12 Yuan, Xiying 12 Zhang, Shuzhong 12 Zhou, Jiang 12 Zhu, Zhibin 11 Ding, Weiyang 11 Fan, Jinyan 11 Fan, Yizheng 11 Ferreira, Orizon Pereira 11 Haeser, Gabriel 11 He, Jun 11 Ni, Qin 11 Qi, Houduo 11 Sang, Caili 11 Tang, Jia 11 Wang, Changyu 11 Wang, Ligong 11 Yu, Bo 10 Barton, Paul I. 10 Facchinei, Francisco 10 Fan, Xiaona 10 Han, Deren 10 Han, Jiye 10 He, Hongjin 10 Ketabchi, Saeed 10 Liu, Jing 10 Liu, Lele 10 Pang, Liping 10 Santos, Sandra Augusta 10 Sun, Zhe 10 Tawhid, Mohamed Aly 10 Vong, Seakweng 10 Xu, Yi 10 Zhu, Detong 9 Chang, An 9 Gu, Weizhe ...and 2,596 more Authors
all top 5

Cited in 255 Serials

 178 Journal of Optimization Theory and Applications 158 Applied Mathematics and Computation 149 Computational Optimization and Applications 146 Journal of Computational and Applied Mathematics 135 Linear Algebra and its Applications 113 Mathematical Programming. Series A. Series B 78 Journal of Global Optimization 68 Optimization Methods & Software 61 Optimization 53 Linear and Multilinear Algebra 50 Frontiers of Mathematics in China 46 SIAM Journal on Optimization 45 Numerical Algorithms 43 Journal of Industrial and Management Optimization 42 Computational and Applied Mathematics 41 Journal of Inequalities and Applications 40 Computers & Mathematics with Applications 40 Numerical Functional Analysis and Optimization 38 Journal of Applied Mathematics and Computing 38 Optimization Letters 32 European Journal of Operational Research 31 Journal of Mathematical Analysis and Applications 31 Numerical Linear Algebra with Applications 29 Mathematical Problems in Engineering 28 International Journal of Computer Mathematics 27 SIAM Journal on Matrix Analysis and Applications 26 Applied Numerical Mathematics 25 Abstract and Applied Analysis 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Mathematical Methods of Operations Research 17 Operations Research Letters 17 Asia-Pacific Journal of Operational Research 17 Annals of Operations Research 17 Journal of Applied Mathematics 15 Applied Mathematical Modelling 15 Science China. Mathematics 15 Journal of the Operations Research Society of China 13 Computer Methods in Applied Mechanics and Engineering 13 Calcolo 13 Acta Mathematicae Applicatae Sinica. English Series 13 Journal of Scientific Computing 12 Mathematics of Computation 12 Applied Mathematics Letters 12 Journal of Combinatorial Optimization 12 Numerical Algebra, Control and Optimization 12 Open Mathematics 11 Discrete Applied Mathematics 11 Automatica 11 Numerische Mathematik 11 Top 11 Nonlinear Analysis. Real World Applications 11 Journal of Systems Science and Complexity 10 Computing 10 Applications of Mathematics 10 Applied Mathematics. Series B (English Edition) 9 SIAM Journal on Scientific Computing 9 Acta Mathematica Sinica. English Series 8 Discrete Mathematics 8 Information Sciences 8 International Journal for Numerical Methods in Engineering 8 Bulletin of the Iranian Mathematical Society 8 Set-Valued and Variational Analysis 7 Applied Mathematics and Optimization 7 Mathematics of Operations Research 7 Journal of Symbolic Computation 7 Computers & Operations Research 6 Journal of Computational Physics 6 Mathematical and Computer Modelling 6 Japan Journal of Industrial and Applied Mathematics 6 The ANZIAM Journal 6 Nonlinear Analysis. Theory, Methods & Applications 5 BIT 5 SIAM Journal on Numerical Analysis 5 Journal of Elasticity 5 Journal of Mathematical Sciences (New York) 5 The Electronic Journal of Combinatorics 5 Optimization and Engineering 5 Structural and Multidisciplinary Optimization 5 4OR 5 SIAM Journal on Imaging Sciences 4 Mathematical Methods in the Applied Sciences 4 SIAM Journal on Control and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 Computational Mechanics 4 Journal of Convex Analysis 4 ELA. The Electronic Journal of Linear Algebra 4 Positivity 4 Soft Computing 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Computational Management Science 4 Discrete Optimization 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Fixed Point Theory and Applications 4 Mathematical Programming Computation 4 Mathematics 4 SIAM Journal on Applied Algebra and Geometry 3 Bulletin of the Australian Mathematical Society 3 Inverse Problems 3 Journal of the Franklin Institute ...and 155 more Serials
all top 5

Cited in 50 Fields

 1,640 Operations research, mathematical programming (90-XX) 1,132 Numerical analysis (65-XX) 594 Linear and multilinear algebra; matrix theory (15-XX) 402 Calculus of variations and optimal control; optimization (49-XX) 156 Combinatorics (05-XX) 82 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 80 Mechanics of deformable solids (74-XX) 78 Operator theory (47-XX) 66 Computer science (68-XX) 42 Partial differential equations (35-XX) 41 Systems theory; control (93-XX) 33 Probability theory and stochastic processes (60-XX) 32 Algebraic geometry (14-XX) 30 Statistics (62-XX) 29 Information and communication theory, circuits (94-XX) 27 Real functions (26-XX) 23 Fluid mechanics (76-XX) 20 Differential geometry (53-XX) 19 Ordinary differential equations (34-XX) 19 Convex and discrete geometry (52-XX) 16 Quantum theory (81-XX) 14 Biology and other natural sciences (92-XX) 11 Commutative algebra (13-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of particles and systems (70-XX) 8 Approximations and expansions (41-XX) 8 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Field theory and polynomials (12-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)