×

zbMATH — the first resource for mathematics

Qi, Liqun

Compute Distance To:
Author ID: qi.liqun Recent zbMATH articles by "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

Publications by Year

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
601
1993
Eigenvalues of a real supersymmetric tensor. Zbl 1125.15014
Qi, Liqun
517
2005
Convergence analysis of some algorithms for solving nonsmooth equations. Zbl 0776.65037
Qi, Liqun
329
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
184
2000
Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082
Pang, Jong-Shi; Qi, Liqun
150
1993
Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036
Ng, Michael; Qi, Liqun; Zhou, Guanglu
148
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.
128
1998
\(M\)-tensors and some applications. Zbl 1307.15034
Zhang, Liping; Qi, Liqun; Zhou, Guanglu
119
2014
\(M\)-tensors and nonsingular \(M\)-tensors. Zbl 1283.15074
Ding, Weiyang; Qi, Liqun; Wei, Yimin
114
2013
A smoothing method for mathematical programs with equilibrium constraints. Zbl 0959.65079
Facchinei, Francisco; Jiang, Houyuan; Qi, Liqun
113
1999
Symmetric nonnegative tensors and copositive tensors. Zbl 1281.15025
Qi, Liqun
104
2013
Eigenvalues and invariants of tensors. Zbl 1113.15020
Qi, Liqun
103
2007
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
96
2017
On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
82
2000
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
81
2000
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
79
2014
Higher order positive semidefinite diffusion tensor imaging. Zbl 1197.92032
Qi, Liqun; Yu, Gaohang; Wu, Ed X.
75
2010
Z-eigenvalue methods for a global polynomial optimization problem. Zbl 1169.90022
Qi, Liqun; Wang, Fei; Wang, Yiju
74
2009
An eigenvalue method for testing positive definiteness of a multivariate form. Zbl 1367.93565
Ni, Qin; Qi, Liqun; Wang, Fei
74
2008
Properties of some classes of structured tensors. Zbl 1390.15085
Song, Yisheng; Qi, Liqun
71
2015
On determinants and eigenvalue theory of tensors. Zbl 1259.15038
Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun
69
2013
A new nonsmooth equations approach to nonlinear complementarity problems. Zbl 0872.90097
Jiang, Houyuan; Qi, Liqun
68
1997
Algebraic connectivity of an even uniform hypergraph. Zbl 1261.05072
Hu, Shenglong; Qi, Liqun
65
2012
New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054
Wei, Zengxin; Li, Guoyin; Qi, Liqun
62
2006
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
61
2016
D-eigenvalues of diffusion kurtosis tensors. Zbl 1176.65046
Qi, Liqun; Wang, Yiju; Wu, Ed X.
61
2008
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
61
1999
Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Zbl 1282.05171
Hu, Shenglong; Qi, Liqun; Shao, Jia-Yu
60
2013
The sparsest solutions to \(Z\)-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
58
2017
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
57
2013
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
57
2013
Inexact Newton methods for solving nonsmooth equations. Zbl 0833.65045
Martínez, José Mario; Qi, Liqun
56
1995
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
55
2016
Numerical multilinear algebra and its applications. Zbl 1134.65033
Qi, Liqun; Sun, Wenyu; Wang, Yiju
54
2007
Formulating an \(n\)-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
52
2017
An even order symmetric \(B\) tensor is positive definite. Zbl 1295.15017
Qi, Liqun; Song, Yisheng
49
2014
Biquadratic optimization over unit spheres and semidefinite programming relaxations. Zbl 1221.90074
Ling, Chen; Nie, Jiawang; Qi, Liqun; Ye, Yinyu
49
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
48
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
45
2009
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117
Qi, Liqun; Sun, Defeng
45
2000
Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems. Zbl 0820.90102
Qi, Liqun
45
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
43
2004
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
42
2014
The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph. Zbl 1305.05129
Hu, Shenglong; Qi, Liqun; Xie, Jinshan
41
2015
A globally and superlinearly convergent algorithm for nonsmooth convex minimization. Zbl 0868.90109
Fukushima, Masao; Qi, Liqun
41
1996
Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines. Zbl 1121.14050
Qi, Liqun
40
2006
The extremal spectral radii of \(k\)-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
39
2016
Spectral properties of positively homogeneous operators induced by higher order tensors. Zbl 1355.15009
Song, Yisheng; Qi, Liqun
38
2013
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
36
2012
The degree of the E-characteristic polynomial of an even order tensor. Zbl 1154.15304
Ni, Guyan; Qi, Liqun; Wang, Fei; Wang, Yiju
36
2007
Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017
Qi, L.; Sun, D.
36
2002
A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization. Zbl 0999.90038
Qi, Hou-Duo; Qi, Liqun
36
2000
Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114
Qi, Liqun; Xu, Changqing; Xu, Yi
35
2014
A globally convergent Newton method for convex \(SC^ 1\) minimization problems. Zbl 0831.90095
Pang, J. S.; Qi, L.
35
1995
A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109
Qi, Liqun; Chen, Xiaojun
35
1995
The best rank-1 approximation of a symmetric tensor and related spherical optimization problems. Zbl 1269.15026
Zhang, Xinzhen; Ling, Chen; Qi, Liqun
34
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
34
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
34
1997
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
34
1994
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
33
2015
Multivariate polynomial minimization and its application in signal processing. Zbl 1023.90064
Qi, Liqun; Teo, Kok Lay
33
2003
A trust region method for solving generalized complementarity problems. Zbl 0911.90324
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng
33
1998
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
32
2017
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
32
2015
Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137
Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu
31
2003
Singular values of a real rectangular tensor. Zbl 1201.15003
Chang, Kungching; Qi, Liqun; Zhou, Guanglu
30
2010
A smoothing Newton method for semi-infinite programming. Zbl 1066.90131
Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi
30
2004
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
30
1998
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
29
2018
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
29
2018
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; Qi, Liqun
29
2015
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
29
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
29
2005
Active-set projected trust-region algorithm for box-constrained nonsmooth equations. Zbl 1140.65331
Qi, L.; Tong, X. J.; Li, D. H.
29
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
29
2002
Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027
Song, Yisheng; Qi, Liqun
28
2014
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
28
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
28
2008
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055
Wei, Zengxin; Li, Guoyin; Qi, Liqun
28
2006
Some simple estimates for singular values of a matrix. Zbl 0525.15009
Qi, Liqun
28
1984
Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026
Song, Yisheng; Qi, Liqun
27
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.
27
2004
A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042
Qi, L.; Sun, D.
27
1999
Computing block-angular Karmarkar projections with applications to stochastic programming. Zbl 0664.90051
Birge, John R.; Qi, Liqun
27
1988
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
26
2016
Regular uniform hypergraphs, \(s\)-cycles, \(s\)-paths and their largest Laplacian H-eigenvalues. Zbl 1282.05174
Qi, Liqun; Shao, Jia-Yu; Wang, Qun
26
2014
The best rank-one approximation ratio of a tensor space. Zbl 1228.15010
Qi, Liqun
26
2011
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 06804658
Song, Yisheng; Qi, Liqun
25
2017
On the minimum norm solution of linear programs. Zbl 1043.90046
Kanzow, C.; Qi, H.; Qi, L.
25
2003
A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150
Ni, Qin; Qi, Liqun
24
2015
Differentiability and semismoothness properties of integral functions and their applications. Zbl 1079.90143
Qi, Liqun; Shapiro, Alexander; Ling, Chen
23
2005
A feasible sequential linear equation method for inequality constrained optimization. Zbl 1101.90394
Yang, Yu-Fei; Li, Dong-Hui; Qi, Liqun
23
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
22
1997
Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities. Zbl 0845.65028
Jiang, Houyuan; Qi, Liqun
22
1995
A trust region algorithm for minimization of locally Lipschitzian functions. Zbl 0821.90108
Qi, Liqun; Sun, Jie
22
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
21
2008
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
20
2017
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
19
2015
Nonnegative diffusion orientation distribution function. Zbl 1276.94004
Qi, Liqun; Yu, Gaohang; Xu, Yi
19
2013
Linear convergence of the LZI algorithm for weakly positive tensors. Zbl 1265.65065
Zhang, Liping; Qi, Liqun; Xu, Yi
19
2012
Generalized tensor function via the tensor singular value decomposition based on the T-product. Zbl 1437.15034
Miao, Yun; Qi, Liqun; Wei, Yimin
4
2020
Modified gradient dynamic approach to the tensor complementarity problem. Zbl 1432.37105
Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin
4
2020
Tensor complementarity problems. I: Basic theory. Zbl 1434.90203
Huang, Zheng-Hai; Qi, Liqun
13
2019
Tensor complementarity problems. II: Solution methods. Zbl 1429.90082
Qi, Liqun; Huang, Zheng-Hai
12
2019
Tensor complementarity problems. III: Applications. Zbl 1433.90169
Huang, Zheng-Hai; Qi, Liqun
11
2019
Stochastic \(R_0\) tensors to stochastic tensor complementarity problems. Zbl 1417.90108
Che, Maolin; Qi, Liqun; Wei, Yimin
8
2019
Test of copositive tensors. Zbl 07084398
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
4
2019
Birkhoff-von Neumann theorem and decomposition for doubly stochastic tensors. Zbl 1425.65065
Chen, Haibin; Qi, Liqun; Caccetta, Louis; Zhou, Guanglu
3
2019
Nonnegative tensors revisited: plane stochastic tensors. Zbl 1412.15010
Che, Maolin; Bu, Changjiang; Qi, Liqun; Wei, Yimin
3
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
1
2019
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
29
2018
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
29
2018
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
18
2018
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
17
2018
\(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications. Zbl 1396.15020
Ding, Weiyang; Luo, Ziyan; Qi, Liqun
16
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
16
2018
Tensor absolute value equations. Zbl 1401.15024
Du, Shouqiang; Zhang, Liping; Chen, Chiyu; Qi, Liqun
11
2018
Global uniqueness and solvability of tensor variational inequalities. Zbl 1409.90207
Wang, Yong; Huang, Zheng-Hai; Qi, Liqun
11
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
10
2018
Octupolar tensors for liquid crystals. Zbl 1383.82065
Chen, Yannan; Qi, Liqun; Virga, Epifanio G.
8
2018
Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015
Huang, Zheng-Hai; Qi, Liqun
6
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
4
2018
How entangled can a multi-party system possibly be? Zbl 1428.81030
Qi, Liqun; Zhang, Guofeng; Ni, Guyan
3
2018
\(M\)-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012
Qi, Liqun; Wei, Yimin; Xiang, Hua
3
2018
Spectral radii of two kinds of uniform hypergraphs. Zbl 1427.05136
Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying
2
2018
A note on the multidimensional moment problem. Zbl 1405.44007
Qi, Liqun
2
2018
Computing the \(p\)-spectral radii of uniform hypergraphs with applications. Zbl 1386.05103
Chang, Jingya; Ding, Weiyang; Qi, Liqun; Yan, Hong
2
2018
Isotropic polynomial invariants of Hall tensor. Zbl 1416.15020
Liu, Jinjie; Ding, Weiyang; Qi, Liqun; Zou, Wennan
1
2018
A quadratic penalty method for hypergraph matching. Zbl 1393.90093
Cui, Chunfeng; Li, Qingna; Qi, Liqun; Yan, Hong
1
2018
Some properties and applications of odd-colorable \(r\)-hypergraphs. Zbl 1377.05133
Yuan, Xiying; Qi, Liqun; Shao, Jiayu; Ouyang, Chen
1
2018
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
96
2017
The sparsest solutions to \(Z\)-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
58
2017
Formulating an \(n\)-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
52
2017
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
32
2017
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 06804658
Song, Yisheng; Qi, Liqun
25
2017
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
20
2017
Programmable criteria for strong \(\mathcal {H}\)-tensors. Zbl 1357.65048
Li, Yaotang; Liu, Qilong; Qi, Liqun
10
2017
The first few unicyclic and bicyclic hypergraphs with largest spectral radii. Zbl 1365.15024
Ouyang, Chen; Qi, Liqun; Yuan, Xiying
9
2017
The Fiedler vector of a Laplacian tensor for hypergraph partitioning. Zbl 1375.05184
Chen, Yannan; Qi, Liqun; Zhang, Xiaoyan
7
2017
Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms. Zbl 1360.65121
Ding, Weiyang; Qi, Liqun; Wei, Yimin
6
2017
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
4
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
4
2017
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
3
2017
Iterative algorithms for computing US- and U-eigenpairs of complex tensors. Zbl 1357.65042
Che, Maolin; Qi, Liqun; Wei, Yimin
3
2017
Infinite-dimensional Hilbert tensors on spaces of analytic functions. Zbl 1390.30058
Song, Yisheng; Qi, Liqun
2
2017
Tensor and hypergraph. Zbl 1391.00053
Friedland, Shmuel (ed.); Qi, Liqun (ed.); Wei, Yimin (ed.); Yang, Qingzhi (ed.)
1
2017
Improved approximation results on standard quartic polynomial optimization. Zbl 1410.90167
Ling, Chen; He, Hongjin; Qi, Liqun
1
2017
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
61
2016
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
55
2016
The extremal spectral radii of \(k\)-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
39
2016
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
26
2016
Eigenvalue analysis of constrained minimization problem for homogeneous polynomial. Zbl 1341.15009
Song, Yisheng; Qi, Liqun
18
2016
Computing extreme eigenvalues of large scale Hankel tensors. Zbl 1377.65046
Chen, Yannan; Qi, Liqun; Wang, Qun
16
2016
Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. Zbl 1349.15026
Luo, Ziyan; Qi, Liqun
14
2016
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
12
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
11
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
11
2016
Circulant tensors with applications to spectral hypergraph theory and stochastic process. Zbl 1364.15017
Chen, Zhongming; Qi, Liqun
10
2016
A semismooth Newton method for tensor eigenvalue complementarity problem. Zbl 1377.90096
Chen, Zhongming; Qi, Liqun
10
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
10
2016
Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
9
2016
Higher-degree eigenvalue complementarity problems for tensors. Zbl 1338.15027
Ling, Chen; He, Hongjin; Qi, Liqun
9
2016
Perturbation bounds of tensor eigenvalue and singular value problems with even order. Zbl 1344.15007
Che, Maolin; Qi, Liqun; Wei, Yimin
6
2016
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
5
2016
Computing eigenvalues of large scale sparse tensors arising from a hypergraph. Zbl 1350.05109
Chang, Jingya; Chen, Yannan; Qi, Liqun
5
2016
Positive semi-definiteness of generalized anti-circulant tensors. Zbl 1353.15026
Li, Guoyin; Qi, Liqun; Wang, Qun
4
2016
Spectral directed hypergraph theory via tensors. Zbl 1335.05125
Xie, Jinshan; Qi, Liqun
4
2016
Spectral properties of odd-bipartite \(Z\)-tensors and their absolute tensors. Zbl 1360.90237
Chen, Haibin; Qi, Liqun
3
2016
A necessary and sufficient condition for existence of a positive Perron vector. Zbl 1355.15019
Hu, Shenglong; Qi, Liqun
3
2016
\(\{0,1\}\) completely positive tensors and multi-hypergraphs. Zbl 1354.05099
Xu, Changqing; Luo, Ziyan; Qi, Liqun; Chen, Zhibing
3
2016
Linear algebra and multilinear algebra. Zbl 1360.00134
Qi, Liqun (ed.); Wei, Yimin (ed.); Xu, Changqing (ed.); Zhang, Tan (ed.)
1
2016
Properties of some classes of structured tensors. Zbl 1390.15085
Song, Yisheng; Qi, Liqun
71
2015
The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph. Zbl 1305.05129
Hu, Shenglong; Qi, Liqun; Xie, Jinshan
41
2015
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
33
2015
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
32
2015
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; Qi, Liqun
29
2015
Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026
Song, Yisheng; Qi, Liqun
27
2015
A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150
Ni, Qin; Qi, Liqun
24
2015
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
19
2015
\(MB\)-tensors and \(MB_0\)-tensors. Zbl 1325.15022
Li, Chaoqian; Qi, Liqun; Li, Yaotang
15
2015
Some new trace formulas of tensors with applications in spectral hypergraph theory. Zbl 1310.15042
Shao, Jia-Yu; Qi, Liqun; Hu, Shenglong
14
2015
Linear operators and positive semidefiniteness of symmetric tensor spaces. Zbl 1308.15025
Luo, ZiYan; Qi, LiQun; Ye, YinYu
10
2015
On solving a class of linear semi-infinite programming by SDP method. Zbl 1311.90160
Xu, Yi; Sun, Wenyu; Qi, Liqun
5
2015
The clique and coclique numbers’ bounds based on the H-eigenvalues of uniform hypergraphs. Zbl 1329.05221
Xie, Jinshan; Qi, Liqun
3
2015
Three dimensional strongly symmetric circulant tensors. Zbl 1321.15043
Qi, Liqun; Wang, Qun; Chen, Yannan
2
2015
\(M\)-tensors and some applications. Zbl 1307.15034
Zhang, Liping; Qi, Liqun; Zhou, Guanglu
119
2014
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
79
2014
An even order symmetric \(B\) tensor is positive definite. Zbl 1295.15017
Qi, Liqun; Song, Yisheng
49
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
48
2014
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
42
2014
Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114
Qi, Liqun; Xu, Changqing; Xu, Yi
35
2014
Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027
Song, Yisheng; Qi, Liqun
28
2014
Regular uniform hypergraphs, \(s\)-cycles, \(s\)-paths and their largest Laplacian H-eigenvalues. Zbl 1282.05174
Qi, Liqun; Shao, Jia-Yu; Wang, Qun
26
2014
Geometric measure of entanglement and U-eigenvalues of tensors. Zbl 1306.15023
Ni, Guyan; Qi, Liqun; Bai, Minru
14
2014
Convergence of a second order Markov chain. Zbl 1334.60143
Hu, Shenglong; Qi, Liqun
10
2014
Positive eigenvalue-eigenvector of nonlinear positive mappings. Zbl 1309.47066
Song, Yisheng; Qi, Liqun
7
2014
An alternative steepest direction method for the optimization in evaluating geometric discord. Zbl 1285.81008
Wang, Lyiju; Qi, Liqun; Luo, Shunlong; Xu, Yi
6
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
5
2014
Space tensor conic programming. Zbl 1325.90090
Qi, Liqun; Ye, Yinyu
5
2014
The E-eigenvectors of tensors. Zbl 1308.15007
Hu, Shenglong; Qi, Liqun
3
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)

Citations by Year