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Author ID: qi.liqun Recent zbMATH articles by "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 · IdRef
all top 5

Co-Authors

40 single-authored
42 Ling, Chen
26 Chen, Yannan
26 Luo, ZiYan
26 Zhang, Xinzhen
24 Zhou, Guanglu
23 Hu, ShengLong
21 Sun, Defeng
20 Huang, Zheng-Hai
19 Song, Yisheng
17 Wei, Yimin
15 Li, Guoyin
15 Yu, Gaohang
13 Chen, Haibin
13 Tong, Xiaojiao
12 Qi, Houduo
11 Chen, Xiaojun
11 Wei, Zengxin
11 Wu, Soon-Yi
11 Xu, Yi
11 Yan, Hong
10 Chen, Zhongming
10 He, Hongjin
10 Sun, Wenyu
10 Wang, Yiju
9 Birge, John R.
9 Cui, Chunfeng
9 Ding, Weiyang
9 Jiang, Houyuan
9 Li, Donghui
9 Yin, Hongxia
9 Zhang, Liping
8 Che, Maolin
8 Yang, Yufei
7 Fukushima, Masao
7 Xu, Yanwei
6 Han, Deren
6 Liu, Jinjie
6 Shao, Jiayu
6 Teo, Kok Lay
6 Wang, Qun
6 Xu, Changqing
5 Liao, Li-Zhi
5 Wang, Fei
5 Wu, Ed Xuekui
5 Yang, Qingzhi
5 Yuan, Xiying
5 Zou, Wennan
4 Caccetta, Louis
4 Dontchev, Asen L.
4 Ni, Qin
4 Ouyang, Chen
4 Sun, Jie
4 Wang, Qingwen
4 Womersley, Robert S.
4 Wu, Felix F.
4 Ye, Yinyu
4 Zhang, Jianzhong
3 Cai, Xiaohao
3 Chang, Jingya
3 Chen, Zhibing
3 Miao, Yun
3 Ming, Zhenyu
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 Chi, Zongtao
2 Dai, Hui-Hui
2 Gwan, Geena
2 Jákli, Antal
2 Kang, Liying
2 Kelley, Carl T.
2 Li, Yaotang
2 Liu, Lele
2 Mifflin, Robert
2 Mo, Jiangtao
2 Nashed, Zuhair
2 Pang, Jong-Shi
2 Tseng, Paul
2 Wang, Yong
2 Xiang, Hua
2 Xiu, Naihua
2 Zhang, Guofeng
2 Zhang, Tan
1 Alexander, David M.
1 Alqahtani, Mohammed S.
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.
...and 98 more Co-Authors
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Serials

31 Journal of Optimization Theory and Applications
21 Linear Algebra and its Applications
20 Journal of Global Optimization
20 Computational Optimization and Applications
19 SIAM Journal on Optimization
17 Numerical Linear Algebra with Applications
15 Mathematical Programming. Series A. Series B
14 Journal of Computational and Applied Mathematics
13 Frontiers of Mathematics in China
12 Communications in Mathematical Sciences
11 SIAM Journal on Matrix Analysis and Applications
10 Applied Mathematics and Computation
10 Journal of Industrial and Management Optimization
8 Mathematics of Operations Research
8 Pacific Journal of Optimization
7 Journal of Mathematical Analysis and Applications
7 Numerical Functional Analysis and Optimization
7 Optimization Methods & Software
6 Linear and Multilinear Algebra
6 Journal of Scientific Computing
5 SIAM Journal on Numerical Analysis
5 Journal of Combinatorial Optimization
4 Mathematics of Computation
4 Asia-Pacific Journal of Operational Research
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
3 Communications on Applied Mathematics and Computation
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 Applied Mathematics Letters
2 Journal of Mathematical Imaging and Vision
2 SIAM Journal on Scientific Computing
2 Journal of Convex Analysis
2 Journal of Nonlinear and 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 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 Pure and Applied Functional Analysis
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Fields

222 Operations research, mathematical programming (90-XX)
157 Linear and multilinear algebra; matrix theory (15-XX)
157 Numerical analysis (65-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
31 Combinatorics (05-XX)
15 General and overarching topics; collections (00-XX)
14 Differential geometry (53-XX)
9 Real functions (26-XX)
9 Operator theory (47-XX)
9 Quantum theory (81-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Algebraic geometry (14-XX)
7 Approximations and expansions (41-XX)
7 Computer science (68-XX)
7 Mechanics of deformable solids (74-XX)
5 Functional analysis (46-XX)
5 Probability theory and stochastic processes (60-XX)
5 Information and communication theory, circuits (94-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 Mechanics of particles and systems (70-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-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)

Publications by Year

Citations contained in zbMATH Open

353 Publications have been cited 11,084 times in 3,699 Documents Cited by Year
Eigenvalues of a real supersymmetric tensor. Zbl 1125.15014
Qi, Liqun
778
2005
A nonsmooth version of Newton’s method. Zbl 0780.90090
Qi, Liqun; Sun, Jie
740
1993
Convergence analysis of some algorithms for solving nonsmooth equations. Zbl 0776.65037
Qi, Liqun
378
1993
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
278
2017
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
212
2000
Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036
Ng, Michael; Qi, Liqun; Zhou, Guanglu
207
2010
\(M\)-tensors and nonsingular \(M\)-tensors. Zbl 1283.15074
Ding, Weiyang; Qi, Liqun; Wei, Yimin
181
2013
\(M\)-tensors and some applications. Zbl 1307.15034
Zhang, Liping; Qi, Liqun; Zhou, Guanglu
171
2014
Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082
Pang, Jong-Shi; Qi, Liqun
164
1993
Symmetric nonnegative tensors and copositive tensors. Zbl 1281.15025
Qi, Liqun
149
2013
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.
144
1998
A smoothing method for mathematical programs with equilibrium constraints. Zbl 0959.65079
Facchinei, Francisco; Jiang, Houyuan; Qi, Liqun
132
1999
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
132
2018
Eigenvalues and invariants of tensors. Zbl 1113.15020
Qi, Liqun
129
2007
Properties of some classes of structured tensors. Zbl 1390.15085
Song, Yisheng; Qi, Liqun
117
2015
On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
114
2000
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
109
2000
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
107
2016
Higher order positive semidefinite diffusion tensor imaging. Zbl 1197.92032
Qi, Liqun; Yu, Gaohang; Wu, Ed X.
105
2010
Formulating an \(n\)-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
103
2017
The sparsest solutions to \(Z\)-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
103
2017
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
103
2014
An eigenvalue method for testing positive definiteness of a multivariate form. Zbl 1367.93565
Ni, Qin; Qi, Liqun; Wang, Fei
98
2008
On determinants and eigenvalue theory of tensors. Zbl 1259.15038
Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun
96
2013
Z-eigenvalue methods for a global polynomial optimization problem. Zbl 1169.90022
Qi, Liqun; Wang, Fei; Wang, Yiju
96
2009
New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054
Wei, Zengxin; Li, Guoyin; Qi, Liqun
90
2006
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
89
2016
Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Zbl 1282.05171
Hu, Shenglong; Qi, Liqun; Shao, Jia-Yu
85
2013
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
83
2009
Algebraic connectivity of an even uniform hypergraph. Zbl 1261.05072
Hu, Shenglong; Qi, Liqun
83
2012
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
79
1999
A new nonsmooth equations approach to nonlinear complementarity problems. Zbl 0872.90097
Jiang, Houyuan; Qi, Liqun
75
1997
D-eigenvalues of diffusion kurtosis tensors. Zbl 1176.65046
Qi, Liqun; Wang, Yiju; Wu, Ed X.
75
2008
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
72
2013
Biquadratic optimization over unit spheres and semidefinite programming relaxations. Zbl 1221.90074
Ling, Chen; Nie, Jiawang; Qi, Liqun; Ye, Yinyu
72
2009
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
71
2013
Numerical multilinear algebra and its applications. Zbl 1134.65033
Qi, Liqun; Sun, Wenyu; Wang, Yiju
67
2007
Inexact Newton methods for solving nonsmooth equations. Zbl 0833.65045
Martínez, José Mario; Qi, Liqun
65
1995
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
63
2009
The extremal spectral radii of \(k\)-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
63
2016
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
63
2017
An even order symmetric \(B\) tensor is positive definite. Zbl 1295.15017
Qi, Liqun; Song, Yisheng
60
2014
Tensor complementarity problems. I: Basic theory. Zbl 1434.90203
Huang, Zheng-Hai; Qi, Liqun
55
2019
A globally and superlinearly convergent algorithm for nonsmooth convex minimization. Zbl 0868.90109
Fukushima, Masao; Qi, Liqun
54
1996
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
54
2009
Spectral properties of positively homogeneous operators induced by higher order tensors. Zbl 1355.15009
Song, Yisheng; Qi, Liqun
54
2013
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
54
2014
Generalized tensor function via the tensor singular value decomposition based on the T-product. Zbl 1437.15034
Miao, Yun; Qi, Liqun; Wei, Yimin
54
2020
Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines. Zbl 1121.14050
Qi, Liqun
53
2006
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
52
2014
The best rank-1 approximation of a symmetric tensor and related spherical optimization problems. Zbl 1269.15026
Zhang, Xinzhen; Ling, Chen; Qi, Liqun
52
2012
Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017
Qi, L.; Sun, D.
50
2002
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
50
2004
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117
Qi, Liqun; Sun, Defeng
49
2000
The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph. Zbl 1305.05129
Hu, Shenglong; Qi, Liqun; Xie, Jinshan
49
2015
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
48
2018
Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems. Zbl 0820.90102
Qi, Liqun
47
1994
Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114
Qi, Liqun; Xu, Changqing; Xu, Yi
47
2014
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
46
2012
The best rank-one approximation ratio of a tensor space. Zbl 1228.15010
Qi, Liqun
46
2011
Tensor complementarity problems. III: Applications. Zbl 1433.90169
Huang, Zheng-Hai; Qi, Liqun
46
2019
Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027
Song, Yisheng; Qi, Liqun
44
2014
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 1454.90098
Song, Yisheng; Qi, Liqun
43
2017
Tensor complementarity problems. II: Solution methods. Zbl 1429.90082
Qi, Liqun; Huang, Zheng-Hai
43
2019
The degree of the E-characteristic polynomial of an even order tensor. Zbl 1154.15304
Ni, Guyan; Qi, Liqun; Wang, Fei; Wang, Yiju
42
2007
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
42
2016
A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150
Ni, Qin; Qi, Liqun
42
2015
Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026
Song, Yisheng; Qi, Liqun
42
2015
\(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications. Zbl 1396.15020
Ding, Weiyang; Luo, Ziyan; Qi, Liqun
42
2018
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
41
2015
Singular values of a real rectangular tensor. Zbl 1201.15003
Chang, Kungching; Qi, Liqun; Zhou, Guanglu
41
2010
Multivariate polynomial minimization and its application in signal processing. Zbl 1023.90064
Qi, Liqun; Teo, Kok Lay
41
2003
Active-set projected trust-region algorithm for box-constrained nonsmooth equations. Zbl 1140.65331
Qi, L.; Tong, X. J.; Li, D. H.
40
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
40
1997
A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109
Qi, Liqun; Chen, Xiaojun
38
1995
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
38
1994
Some simple estimates for singular values of a matrix. Zbl 0525.15009
Qi, Liqun
38
1984
A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization. Zbl 0999.90038
Qi, Hou-Duo; Qi, Liqun
38
2000
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
38
2015
Descent directions of quasi-Newton methods for symmetric nonlinear equations. Zbl 1047.65032
Gu, Guang-Ze; Li, Dong-Hui; Qi, Liqun; Zhou, Shu-Zi
37
2002
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055
Wei, Zengxin; Li, Guoyin; Qi, Liqun
37
2006
A globally convergent Newton method for convex \(SC^ 1\) minimization problems. Zbl 0831.90095
Pang, J. S.; Qi, L.
36
1995
A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042
Qi, L.; Sun, D.
36
1999
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
36
2018
A smoothing Newton method for semi-infinite programming. Zbl 1066.90131
Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi
35
2004
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
35
2004
A trust region method for solving generalized complementarity problems. Zbl 0911.90324
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng
35
1998
Regular uniform hypergraphs, \(s\)-cycles, \(s\)-paths and their largest Laplacian H-eigenvalues. Zbl 1282.05174
Qi, Liqun; Shao, Jia-Yu; Wang, Qun
35
2014
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; Qi, Liqun
35
2015
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
35
2017
Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137
Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu
35
2003
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
34
1998
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
34
2018
On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solutions. Zbl 1069.65055
Tong, X. J.; Qi, L.
33
2004
Tensor absolute value equations. Zbl 1401.15024
Du, Shouqiang; Zhang, Liping; Chen, Chiyu; Qi, Liqun
33
2018
A trust region algorithm for minimization of locally Lipschitzian functions. Zbl 0821.90108
Qi, Liqun; Sun, Jie
32
1994
Computing block-angular Karmarkar projections with applications to stochastic programming. Zbl 0664.90051
Birge, John R.; Qi, Liqun
31
1988
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
31
2018
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
30
2008
T-Jordan canonical form and T-Drazin inverse based on the T-product. Zbl 1476.15045
Miao, Yun; Qi, Liqun; Wei, Yimin
30
2021
Eigenvalues and singular values of dual quaternion matrices. Zbl 1510.15022
Qi, Liqun; Luo, Ziyan
8
2023
The C-eigenvalue of third order tensors and its application in crystals. Zbl 1513.15043
Chen, Yannan; Jákli, Antal; Qi, Liqun
6
2023
Low Tucker rank tensor completion using a symmetric block coordinate descent method. Zbl 07729587
Yu, Quan; Zhang, Xinzhen; Chen, Yannan; Qi, Liqun
1
2023
Standard dual quaternion optimization and its applications in hand-eye calibration and SLAM. Zbl 07776125
Qi, Liqun
1
2023
Optimality conditions for Tucker low-rank tensor optimization. Zbl 07786401
Luo, Ziyan; Qi, Liqun
1
2023
Quaternion matrix optimization: motivation and analysis. Zbl 1527.90227
Qi, Liqun; Luo, Ziyan; Wang, Qing-Wen; Zhang, Xinzhen
12
2022
Dual quaternions and dual quaternion vectors. Zbl 1513.15042
Qi, Liqun; Ling, Chen; Yan, Hong
10
2022
Spectral norm and nuclear norm of a third order tensor. Zbl 1499.15077
Qi, Liqun; Hu, Shenglong; Xu, Yanwei
5
2022
Singular values of dual quaternion matrices and their low-rank approximations. Zbl 1503.15006
Ling, Chen; He, Hongjin; Qi, Liqun
5
2022
ST-SVD factorization and s-diagonal tensors. Zbl 1487.15032
Ling, Chen; Liu, Jinjie; Ouyang, Chen; Qi, Liqun
3
2022
Color image completion using a low-rank quaternion matrix approximation. Zbl 07506667
Chen, Yannan; Qi, Liqun; Zhang, Xinzhen
2
2022
Positivity conditions for cubic, quartic and quintic polynomials. Zbl 1517.26011
Qi, Liqun; Song, Yisheng; Zhang, Xinzhen
2
2022
Further results on sum-of-squares tensors. Zbl 1501.90065
Chen, Haibin; Qi, Liqun; Wang, Yiju; Zhou, Guanglu
2
2022
T-Jordan canonical form and T-Drazin inverse based on the T-product. Zbl 1476.15045
Miao, Yun; Qi, Liqun; Wei, Yimin
30
2021
Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020
Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen
8
2021
T-product factorization method for internet traffic data completion with spatio-temporal regularization. Zbl 1482.90213
Ling, Chen; Yu, Gaohang; Qi, Liqun; Xu, Yanwei
6
2021
Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751
Song, Yisheng; Qi, Liqun
6
2021
A Barzilai-Borwein gradient algorithm for spatio-temporal internet traffic data completion via tensor triple decomposition. Zbl 1528.68041
Chen, Yannan; Zhang, Xinzhen; Qi, Liqun; Xu, Yanwei
3
2021
Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors. Zbl 1469.15030
Qi, Liqun; Hu, Shenglong; Zhang, Xinzhen; Xu, Yanwei
1
2021
Tensor factorization with total variation for internet traffic data imputation. Zbl 1475.90016
Yu, Gaohang; Wang, Liqin; Wan, Shaochun; Qi, Liqun; Xu, Yanwei
1
2021
Generalized tensor function via the tensor singular value decomposition based on the T-product. Zbl 1437.15034
Miao, Yun; Qi, Liqun; Wei, Yimin
54
2020
Modified gradient dynamic approach to the tensor complementarity problem. Zbl 1432.37105
Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin
25
2020
Elasticity \(\mathcal{M} \)-tensors and the strong ellipticity condition. Zbl 1433.74028
Ding, Weiyang; Liu, Jinjie; Qi, Liqun; Yan, Hong
16
2020
Further study on tensor absolute value equations. Zbl 1469.15017
Ling, Chen; Yan, Weijie; He, Hongjin; Qi, Liqun
10
2020
The generalized order tensor complementarity problems. Zbl 1463.90221
Che, Maolin; Qi, Liqun; Wei, Yimin
8
2020
Hypergraph clustering using a new Laplacian tensor with applications in image processing. Zbl 1451.05136
Chang, Jingya; Chen, Yannan; Qi, Liqun; Yan, Hong
6
2020
Expected residual minimization method for monotone stochastic tensor complementarity problem. Zbl 1466.90113
Ming, Zhenyu; Zhang, Liping; Qi, Liqun
6
2020
Stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. Zbl 1454.60117
Huang, Zheng-Hai; Qi, Liqun
5
2020
M-eigenvalues of the Riemann curvature tensor of conformally flat manifolds. Zbl 1474.53192
Miao, Yun; Qi, Liqun; Yiminwei
3
2020
Tensor Bernstein concentration inequalities with an application to sample estimators for high-order moments. Zbl 1440.15036
Luo, Ziyan; Qi, Liqun; Toint, Philippe L.
2
2020
A nonmonotone spectral projected gradient method for tensor eigenvalue complementarity problems. Zbl 1473.65077
Tong, Wanbin; He, Hongjin; Ling, Chen; Qi, Liqun
1
2020
A new class of positive semi-definite tensors. Zbl 1449.15028
Xu, Yi; Liu, Jinjie; Qi, Liqun
1
2020
Tensor complementarity problems. I: Basic theory. Zbl 1434.90203
Huang, Zheng-Hai; Qi, Liqun
55
2019
Tensor complementarity problems. III: Applications. Zbl 1433.90169
Huang, Zheng-Hai; Qi, Liqun
46
2019
Tensor complementarity problems. II: Solution methods. Zbl 1429.90082
Qi, Liqun; Huang, Zheng-Hai
43
2019
Stochastic \(R_0\) tensors to stochastic tensor complementarity problems. Zbl 1417.90108
Che, Maolin; Qi, Liqun; Wei, Yimin
24
2019
Test of copositive tensors. Zbl 1463.65141
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
13
2019
Nonnegative tensors revisited: plane stochastic tensors. Zbl 1412.15010
Che, Maolin; Bu, Changjiang; Qi, Liqun; Wei, Yimin
9
2019
Birkhoff-von Neumann theorem and decomposition for doubly stochastic tensors. Zbl 1425.65065
Chen, Haibin; Qi, Liqun; Caccetta, Louis; Zhou, Guanglu
7
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
2
2019
Two irreducible functional bases of isotropic invariants of a fourth-order three-dimensional symmetric and traceless tensor. Zbl 07273355
Chen, Zhongming; Chen, Yannan; Qi, Liqun; Zou, Wennan
1
2019
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
132
2018
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
48
2018
\(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications. Zbl 1396.15020
Ding, Weiyang; Luo, Ziyan; Qi, Liqun
42
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
36
2018
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
34
2018
Tensor absolute value equations. Zbl 1401.15024
Du, Shouqiang; Zhang, Liping; Chen, Chiyu; Qi, Liqun
33
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
31
2018
Global uniqueness and solvability of tensor variational inequalities. Zbl 1409.90207
Wang, Yong; Huang, Zheng-Hai; Qi, Liqun
30
2018
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 1499.65132
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
29
2018
Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015
Huang, Zheng-Hai; Qi, Liqun
21
2018
Octupolar tensors for liquid crystals. Zbl 1383.82065
Chen, Yannan; Qi, Liqun; Virga, Epifanio G.
19
2018
How entangled can a multi-party system possibly be? Zbl 1428.81030
Qi, Liqun; Zhang, Guofeng; Ni, Guyan
13
2018
Spectral radii of two kinds of uniform hypergraphs. Zbl 1427.05136
Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying
12
2018
Computing the \(p\)-spectral radii of uniform hypergraphs with applications. Zbl 1386.05103
Chang, Jingya; Ding, Weiyang; Qi, Liqun; Yan, Hong
11
2018
An irreducible function basis of isotropic invariants of a third order three-dimensional symmetric tensor. Zbl 1467.74009
Chen, Zhongming; Liu, Jinjie; Qi, Liqun; Zheng, Quanshui; Zou, Wennan
7
2018
\(M\)-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012
Qi, Liqun; Wei, Yimin; Xiang, Hua
6
2018
Isotropic polynomial invariants of Hall tensor. Zbl 1416.15020
Liu, Jinjie; Ding, Weiyang; Qi, Liqun; Zou, Wennan
4
2018
Some properties and applications of odd-colorable \(r\)-hypergraphs. Zbl 1377.05133
Yuan, Xiying; Qi, Liqun; Shao, Jiayu; Ouyang, Chen
3
2018
A note on the multidimensional moment problem. Zbl 1405.44007
Qi, Liqun
2
2018
A quadratic penalty method for hypergraph matching. Zbl 1393.90093
Cui, Chunfeng; Li, Qingna; Qi, Liqun; Yan, Hong
2
2018
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
278
2017
Formulating an \(n\)-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
103
2017
The sparsest solutions to \(Z\)-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
103
2017
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
63
2017
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 1454.90098
Song, Yisheng; Qi, Liqun
43
2017
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
35
2017
The first few unicyclic and bicyclic hypergraphs with largest spectral radii. Zbl 1365.15024
Ouyang, Chen; Qi, Liqun; Yuan, Xiying
21
2017
Programmable criteria for strong \(\mathcal {H}\)-tensors. Zbl 1357.65048
Li, Yaotang; Liu, Qilong; Qi, Liqun
20
2017
The Fiedler vector of a Laplacian tensor for hypergraph partitioning. Zbl 1375.05184
Chen, Yannan; Qi, Liqun; Zhang, Xiaoyan
20
2017
Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms. Zbl 1360.65121
Ding, Weiyang; Qi, Liqun; Wei, Yimin
7
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
7
2017
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
7
2017
Iterative algorithms for computing US- and U-eigenpairs of complex tensors. Zbl 1357.65042
Che, Maolin; Qi, Liqun; Wei, Yimin
5
2017
Regularly decomposable tensors and classical spin states. Zbl 1390.15034
Qi, Liqun; Zhang, Guofeng; Braun, Daniel; Bohnet-Waldraff, Fabian; Giraud, Olivier
4
2017
Improved approximation results on standard quartic polynomial optimization. Zbl 1410.90167
Ling, Chen; He, Hongjin; Qi, Liqun
3
2017
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
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
1
2017
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
107
2016
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
89
2016
The extremal spectral radii of \(k\)-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
63
2016
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
42
2016
Eigenvalue analysis of constrained minimization problem for homogeneous polynomial. Zbl 1341.15009
Song, Yisheng; Qi, Liqun
28
2016
Circulant tensors with applications to spectral hypergraph theory and stochastic process. Zbl 1364.15017
Chen, Zhongming; Qi, Liqun
20
2016
Computing extreme eigenvalues of large scale Hankel tensors. Zbl 1377.65046
Chen, Yannan; Qi, Liqun; Wang, Qun
19
2016
Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. Zbl 1349.15026
Luo, Ziyan; Qi, Liqun
18
2016
Computing eigenvalues of large scale sparse tensors arising from a hypergraph. Zbl 1350.05109
Chang, Jingya; Chen, Yannan; Qi, Liqun
18
2016
Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
17
2016
Higher-degree eigenvalue complementarity problems for tensors. Zbl 1338.15027
Ling, Chen; He, Hongjin; Qi, Liqun
16
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
15
2016
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
15
2016
A semismooth Newton method for tensor eigenvalue complementarity problem. Zbl 1377.90096
Chen, Zhongming; Qi, Liqun
14
2016
Spectral directed hypergraph theory via tensors. Zbl 1335.05125
Xie, Jinshan; Qi, Liqun
13
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
13
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
10
2016
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
10
2016
A necessary and sufficient condition for existence of a positive Perron vector. Zbl 1355.15019
Hu, Shenglong; Qi, Liqun
8
2016
Perturbation bounds of tensor eigenvalue and singular value problems with even order. Zbl 1344.15007
Che, Maolin; Qi, Liqun; Wei, Yimin
6
2016
\(\{0,1\}\) completely positive tensors and multi-hypergraphs. Zbl 1354.05099
Xu, Changqing; Luo, Ziyan; Qi, Liqun; Chen, Zhibing
6
2016
...and 253 more Documents
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Cited by 3,636 Authors

219 Qi, Liqun
72 Wei, Yimin
69 Huang, Zheng-Hai
52 Ma, Changfeng
51 Wang, Yiju
45 Hu, ShengLong
44 Kanzow, Christian
42 Yuan, Gonglin
38 Li, Chaoqian
37 Chen, Jein-Shan
36 Martínez, José Mario
35 Bu, Changjiang
35 Li, Yaotang
35 Ling, Chen
35 Sun, Defeng
34 Chen, Haibin
34 Zhang, Liwei
33 Wei, Zengxin
32 Zhou, Guanglu
31 Jian, Jinbao
31 Zhao, Jianxing
28 Sun, Jie
27 Andreani, Roberto
27 Chen, Xiaojun
27 Du, Shouqiang
27 Tang, Jingyong
27 Zhang, Liping
26 Li, Wen
26 Song, Yisheng
26 Zhang, Xinzhen
25 He, Jun
24 Chen, Yannan
24 Sang, Caili
23 Fukushima, Masao
23 Zhou, Jinchuan
22 Toh, Kim Chuan
21 Che, Maolin
21 Gao, Yan
21 Haeser, Gabriel
21 Li, Donghui
21 Liu, Sanyang
20 Wang, Qingwen
20 Wu, Soon-Yi
20 Yang, Yuning
19 Pan, Shaohua
19 Pu, Dingguo
19 Sun, Wenyu
19 Xiu, Naihua
19 Yang, Qingzhi
18 Fan, Yizheng
18 Liu, Yanmin
18 Wang, Gang
17 Fang, Liang
17 He, Hongjin
17 Kang, Liying
17 Shen, Chungen
16 Babaie-Kafaki, Saman
16 Li, Guoyin
16 Tong, Xiaojiao
16 Wang, Ligong
16 Yang, Xiaoqi
16 Yu, Bo
16 Zhang, Jianzhong
15 Birgin, Ernesto G.
15 Cui, Lubin
15 Ding, Weiyang
15 Dong, Li
15 Li, Zhening
15 Liao, Li-Zhi
15 Ni, Qin
15 Ou, Yigui
15 Sheng, Zhou
15 Vong, Seakweng
15 Zhou, Jiang
14 Chiou, Suh-Wen
14 Fan, Jinyan
14 Han, Deren
14 Liu, Hongwei
14 Ng, Michael Kwok-Po
14 Nie, Jiawang
14 Pang, Jong-Shi
14 Zhu, Zhibin
13 Che, Haitao
13 Ma, Haifeng
13 Qi, Houduo
13 Stechlinski, Peter G.
13 Wan, Zhong
13 Xu, Huifu
12 Ferreira, Orizon Pereira
12 Lin, Guihua
12 Ni, Guyan
12 Shan, Erfang
12 Shao, Jiayu
12 Śmietański, Marek J.
12 Wang, Xuezhong
12 Wang, Yong
12 Yan, Hong
12 You, Lihua
12 Yu, Gaohang
12 Yuan, Xiying
...and 3,536 more Authors
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Cited in 358 Serials

228 Journal of Optimization Theory and Applications
179 Computational Optimization and Applications
177 Journal of Computational and Applied Mathematics
175 Applied Mathematics and Computation
165 Linear Algebra and its Applications
128 Mathematical Programming. Series A. Series B
99 Journal of Global Optimization
96 Journal of Industrial and Management Optimization
88 Optimization Methods & Software
87 Linear and Multilinear Algebra
79 Computational and Applied Mathematics
74 Optimization
68 SIAM Journal on Optimization
67 Numerical Algorithms
61 Journal of Inequalities and Applications
60 Frontiers of Mathematics in China
56 Journal of Applied Mathematics and Computing
52 Optimization Letters
50 Mathematical Problems in Engineering
49 Numerical Functional Analysis and Optimization
44 Computers & Mathematics with Applications
42 SIAM Journal on Matrix Analysis and Applications
40 Applied Numerical Mathematics
39 International Journal of Computer Mathematics
38 Journal of Scientific Computing
34 Journal of Mathematical Analysis and Applications
33 European Journal of Operational Research
32 Numerical Linear Algebra with Applications
28 Applied Mathematics Letters
26 Abstract and Applied Analysis
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Asia-Pacific Journal of Operational Research
24 Mathematical Methods of Operations Research
23 Calcolo
22 SIAM Journal on Scientific Computing
22 Journal of the Operations Research Society of China
21 Annals of Operations Research
20 Science China. Mathematics
19 Operations Research Letters
19 Applied Mathematical Modelling
18 Journal of Combinatorial Optimization
18 Journal of Applied Mathematics
17 Set-Valued and Variational Analysis
16 Mathematics of Computation
16 Numerical Algebra, Control and Optimization
16 Open Mathematics
15 Computer Methods in Applied Mechanics and Engineering
15 Japan Journal of Industrial and Applied Mathematics
14 Discrete Applied Mathematics
14 Discrete Mathematics
14 Acta Mathematicae Applicatae Sinica. English Series
13 Applications of Mathematics
12 Numerische Mathematik
12 Bulletin of the Iranian Mathematical Society
12 Journal of Systems Science and Complexity
11 Applied Mathematics and Optimization
11 Automatica
11 Applied Mathematics. Series B (English Edition)
11 Top
11 Acta Mathematica Sinica. English Series
11 Nonlinear Analysis. Real World Applications
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Communications on Applied Mathematics and Computation
10 Journal of Computational Physics
10 Computing
10 Information Sciences
10 Mathematics of Operations Research
10 Journal of Symbolic Computation
10 Filomat
10 Soft Computing
9 Acta Applicandae Mathematicae
9 Optimization and Engineering
8 International Journal for Numerical Methods in Engineering
8 Mathematics and Computers in Simulation
8 SIAM Journal on Control and Optimization
8 Computers & Operations Research
8 The Electronic Journal of Combinatorics
8 ELA. The Electronic Journal of Linear Algebra
8 Taiwanese Journal of Mathematics
8 Quantum Information Processing
8 Mathematical Programming Computation
7 BIT
7 SIAM Journal on Numerical Analysis
7 Journal of Elasticity
7 Journal of Convex Analysis
7 SIAM Journal on Imaging Sciences
7 SIAM Journal on Applied Algebra and Geometry
7 Frontiers of Mathematics
6 Mathematical and Computer Modelling
6 Neural Networks
6 Journal of Mathematical Imaging and Vision
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Positivity
6 The ANZIAM Journal
6 Journal of Mathematical Modeling
6 Nonlinear Analysis. Theory, Methods & Applications
6 AIMS Mathematics
5 Journal of the Franklin Institute
5 Computational Mechanics
5 Journal of Mathematical Sciences (New York)
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Cited in 53 Fields

2,144 Operations research, mathematical programming (90-XX)
1,563 Numerical analysis (65-XX)
1,040 Linear and multilinear algebra; matrix theory (15-XX)
530 Calculus of variations and optimal control; optimization (49-XX)
252 Combinatorics (05-XX)
117 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
112 Operator theory (47-XX)
111 Computer science (68-XX)
111 Mechanics of deformable solids (74-XX)
67 Partial differential equations (35-XX)
61 Information and communication theory, circuits (94-XX)
60 Probability theory and stochastic processes (60-XX)
59 Statistics (62-XX)
56 Systems theory; control (93-XX)
54 Algebraic geometry (14-XX)
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30 Ordinary differential equations (34-XX)
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