## Qi, Liqun

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 Author ID: qi.liqun Published as: Qi, Liqun; Qi, L.; Qi, Li-qun; Qi, L. Q.; Qi, Liquin; Qi, Li-Qun; Qi, Li Qun; Qi, LiQun Homepage: http://www.polyu.edu.hk/ama/staff/new/QiLQ.htm External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND
 Documents Indexed: 365 Publications since 1979, including 3 Books 14 Contributions as Editor Co-Authors: 173 Co-Authors with 342 Joint Publications 6,189 Co-Co-Authors
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### Co-Authors

 35 single-authored 31 Ling, Chen 22 Zhou, Guanglu 21 Sun, Defeng 19 Hu, ShengLong 17 Chen, Yannan 17 Huang, Zheng-Hai 17 Zhang, Xinzhen 16 Wei, Yimin 15 Song, Yisheng 13 Li, Guoyin 13 Tong, Xiaojiao 12 Qi, Houduo 11 Chen, Xiaojun 11 Wang, Yiju 11 Wei, Zengxin 11 Wu, Soon-Yi 10 Chen, Haibin 10 Sun, Wenyu 10 Xu, Yi 9 Birge, John R. 9 Jiang, Houyuan 9 Li, Donghui 9 Luo, ZiYan 9 Yin, Hongxia 8 Che, Maolin 8 Yang, Yufei 7 Ding, Weiyang 7 Fukushima, Masao 7 Yu, Gaohang 7 Zhang, Liping 6 Han, Deren 6 He, Hongjin 6 Shao, Jiayu 6 Teo, Kok Lay 6 Wang, Qun 6 Xu, Changqing 5 Chen, Zhongming 5 Liao, Li-Zhi 5 Liu, Jinjie 5 Wu, Ed Xuekui 5 Xu, Yanwei 5 Yang, Qingzhi 4 Caccetta, Louis 4 Dontchev, Asen L. 4 Ni, Qin 4 Sun, Jie 4 Womersley, Robert S. 4 Wu, Felix F. 4 Yan, Hong 4 Ye, Yinyu 4 Yuan, Xiying 4 Zhang, Jianzhong 4 Zou, Wennan 3 Chang, Jingya 3 Chen, Zhibing 3 Miao, Yun 3 Ng, Michael Kwok-Po 3 Ni, Guyan 3 Ouyang, Chen 3 Polak, Elijah (Lucien) 3 Xie, Jinshan 3 Yang, Xiaoqi 3 Yang, Yuning 2 Balas, Egon 2 Chang, Kung-Ching 2 Chen, Jinhai 2 Chi, Zongtao 2 Dai, Hui-Hui 2 Gwan, Geena 2 Kelley, Carl T. 2 Li, Yaotang 2 Mifflin, Robert 2 Mo, Jiangtao 2 Nashed, Zuhair 2 Pang, Jong-Shi 2 Tseng, Paul 2 Zhang, Guofeng 2 Zhang, Tan 1 Alqahtani, Mohammed 1 Bai, Minru 1 Bai, Zhengjian 1 Bakshi, Mayank 1 Bohnet-Waldraff, Fabian 1 Bomze, Immanuel M. 1 Braun, Daniel 1 Bu, Changjiang 1 Burke, James V. 1 Chan, Cheong-ki K. 1 Chen, Chiyu 1 Chen, Xin 1 Chu, Moody T. 1 Cui, Chunfeng 1 Du, Ding-Zhu 1 Du, Shouqiang 1 Facchinei, Francisco 1 Fang, Shu-Cherng 1 Friedland, Shmuel 1 Giraud, Olivier 1 Gu, Guangze 1 Gu, Lejia ...and 73 more Co-Authors
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### Serials

 29 Journal of Optimization Theory and Applications 21 Linear Algebra and its Applications 20 Journal of Global Optimization 19 SIAM Journal on Optimization 19 Computational Optimization and Applications 15 Mathematical Programming. Series A. Series B 15 Numerical Linear Algebra with Applications 14 Journal of Computational and Applied Mathematics 13 Frontiers of Mathematics in China 11 SIAM Journal on Matrix Analysis and Applications 11 Communications in Mathematical Sciences 9 Applied Mathematics and Computation 8 Mathematics of Operations Research 8 Journal of Industrial and Management Optimization 7 Journal of Mathematical Analysis and Applications 7 Pacific Journal of Optimization 6 Linear and Multilinear Algebra 6 Optimization Methods & Software 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Numerical Analysis 5 Journal of Scientific Computing 5 Journal of Combinatorial Optimization 4 Mathematics of Computation 4 Annals of Operations Research 4 Optimization Letters 4 Science China. Mathematics 3 Discrete Applied Mathematics 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 Numerical Mathematics 3 Operations Research Letters 3 Optimization 3 Journal of Symbolic Computation 3 Journal of the Operations Research Society of China 2 Applied Mathematics and Optimization 2 IEEE Transactions on Automatic Control 2 Mathematical Programming Study 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Asia-Pacific Journal of Operational Research 2 Applied Mathematics Letters 2 SIAM Journal on Scientific Computing 2 Journal of Convex Analysis 2 Applied Optimization 2 SIAM Journal on Imaging Sciences 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Suzhou University of Science and Technology. Natural Science Edition 2 Numerical Algebra, Control and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications 2 Minimax Theory and its Applications 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Physics Letters. A 1 BIT 1 Computing 1 Management Science 1 Journal of Computational Mathematics 1 Constructive Approximation 1 Journal of Tsinghua University. Science and Technology 1 Signal Processing 1 IEEE Transactions on Signal Processing 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 The Australasian Journal of Combinatorics 1 Journal of Mathematical Imaging and Vision 1 Numerical Mathematics 1 Mathematics and Mechanics of Solids 1 Journal of Inequalities and Applications 1 Optimization and Engineering 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Advances in Mechanics and Mathematics 1 Advanced Modeling and Optimization 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Communications in Mathematical Research 1 Scientia Sinica. Mathematica 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Annals of Applied Mathematics 1 Other Titles in Applied Mathematics 1 Communications on Applied Mathematics and Computation
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### Fields

 212 Operations research, mathematical programming (90-XX) 150 Numerical analysis (65-XX) 137 Linear and multilinear algebra; matrix theory (15-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 28 Combinatorics (05-XX) 15 General and overarching topics; collections (00-XX) 12 Differential geometry (53-XX) 9 Operator theory (47-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Real functions (26-XX) 8 Quantum theory (81-XX) 7 Approximations and expansions (41-XX) 6 Mechanics of deformable solids (74-XX) 5 Algebraic geometry (14-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 4 Biology and other natural sciences (92-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

330 Publications have been cited 8,862 times in 2,985 Documents Cited by Year
A nonsmooth version of Newton’s method. Zbl 0780.90090
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
Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036
Ng, Michael; Qi, Liqun; Zhou, Guanglu
2010
Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082
Pang, Jong-Shi; Qi, Liqun
1993
Tensor analysis. Spectral theory and special tensors. Zbl 1370.15001
Qi, Liqun; Luo, Ziyan
2017
$$M$$-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
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
Symmetric nonnegative tensors and copositive tensors. Zbl 1281.15025
Qi, Liqun
2013
A smoothing method for mathematical programs with equilibrium constraints. Zbl 0959.65079
Facchinei, Francisco; Jiang, Houyuan; Qi, Liqun
1999
Eigenvalues and invariants of tensors. Zbl 1113.15020
Qi, Liqun
2007
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
2000
On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
2000
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
Z-eigenvalue methods for a global polynomial optimization problem. Zbl 1169.90022
Qi, Liqun; Wang, Fei; Wang, Yiju
2009
Higher order positive semidefinite diffusion tensor imaging. Zbl 1197.92032
Qi, Liqun; Yu, Gaohang; Wu, Ed X.
2010
$$H^{+}$$-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
2014
On determinants and eigenvalue theory of tensors. Zbl 1259.15038
Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun
2013
Positive-definite tensors to nonlinear complementarity problems. Zbl 1334.90174
Che, Maolin; Qi, Liqun; Wei, Yimin
2016
A new nonsmooth equations approach to nonlinear complementarity problems. Zbl 0872.90097
Jiang, Houyuan; Qi, Liqun
1997
The sparsest solutions to $$Z$$-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
2017
New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054
Wei, Zengxin; Li, Guoyin; Qi, Liqun
2006
Algebraic connectivity of an even uniform hypergraph. Zbl 1261.05072
Hu, Shenglong; Qi, Liqun
2012
Tensor complementarity problem and semi-positive tensors. Zbl 1349.90803
Song, Yisheng; Qi, Liqun
2016
Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Zbl 1282.05171
Hu, Shenglong; Qi, Liqun; Shao, Jia-Yu
2013
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
1999
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
D-eigenvalues of diffusion kurtosis tensors. Zbl 1176.65046
Qi, Liqun; Wang, Yiju; Wu, Ed X.
2008
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
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
2013
The $$Z$$-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
2013
Inexact Newton methods for solving nonsmooth equations. Zbl 0833.65045
Martínez, José Mario; Qi, Liqun
1995
Numerical multilinear algebra and its applications. Zbl 1134.65033
Qi, Liqun; Sun, Wenyu; Wang, Yiju
2007
Biquadratic optimization over unit spheres and semidefinite programming relaxations. Zbl 1221.90074
Ling, Chen; Nie, Jiawang; Qi, Liqun; Ye, Yinyu
2009
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
2018
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
The extremal spectral radii of $$k$$-uniform supertrees. Zbl 1378.90084
Li, Honghai; Shao, Jia-Yu; Qi, Liqun
2016
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
A globally and superlinearly convergent algorithm for nonsmooth convex minimization. Zbl 0868.90109
Fukushima, Masao; Qi, Liqun
1996
Superlinearly convergent approximate Newton methods for LC$$^ 1$$ optimization problems. Zbl 0820.90102
Qi, Liqun
1994
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117
Qi, Liqun; Sun, Defeng
2000
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
2014
Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines. Zbl 1121.14050
Qi, Liqun
2006
Spectral properties of positively homogeneous operators induced by higher order tensors. Zbl 1355.15009
Song, Yisheng; Qi, Liqun
2013
The largest Laplacian and signless Laplacian $$H$$-eigenvalues of a uniform hypergraph. Zbl 1305.05129
Hu, Shenglong; Qi, Liqun; Xie, Jinshan
2015
Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017
Qi, L.; Sun, D.
2002
Properties of tensor complementarity problem and some classes of structured tensors. Zbl 1399.15036
Song, Yisheng; Qi, Liqun
2017
The best rank-1 approximation of a symmetric tensor and related spherical optimization problems. Zbl 1269.15026
Zhang, Xinzhen; Ling, Chen; Qi, Liqun
2012
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
2018
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
2009
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
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
2012
Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. Zbl 1317.65114
Qi, Liqun; Xu, Changqing; Xu, Yi
2014
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
The degree of the E-characteristic polynomial of an even order tensor. Zbl 1154.15304
Ni, Guyan; Qi, Liqun; Wang, Fei; Wang, Yiju
2007
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
2015
A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109
Qi, Liqun; Chen, Xiaojun
1995
A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization. Zbl 0999.90038
Qi, Hou-Duo; Qi, Liqun
2000
Multivariate polynomial minimization and its application in signal processing. Zbl 1023.90064
Qi, Liqun; Teo, Kok Lay
2003
A globally convergent Newton method for convex $$SC^ 1$$ minimization problems. Zbl 0831.90095
Pang, J. S.; Qi, L.
1995
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
1994
Active-set projected trust-region algorithm for box-constrained nonsmooth equations. Zbl 1140.65331
Qi, L.; Tong, X. J.; Li, D. H.
2004
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
2015
A trust region method for solving generalized complementarity problems. Zbl 0911.90324
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng
1998
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
Singular values of a real rectangular tensor. Zbl 1201.15003
Chang, Kungching; Qi, Liqun; Zhou, Guanglu
2010
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
Necessary and sufficient conditions for copositive tensors. Zbl 1311.15026
Song, Yisheng; Qi, Liqun
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
2002
Strictly semi-positive tensors and the boundedness of tensor complementarity problems. Zbl 1454.90098
Song, Yisheng; Qi, Liqun
2017
A smoothing Newton method for semi-infinite programming. Zbl 1066.90131
Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi
2004
Infinite and finite dimensional Hilbert tensors. Zbl 1292.15027
Song, Yisheng; Qi, Liqun
2014
Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137
Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu
2003
A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042
Qi, L.; Sun, D.
1999
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
1998
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055
Wei, Zengxin; Li, Guoyin; Qi, Liqun
2006
The best rank-one approximation ratio of a tensor space. Zbl 1228.15010
Qi, Liqun
2011
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
A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map. Zbl 1342.90150
Ni, Qin; Qi, Liqun
2015
Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems. Zbl 1198.65091
Wei, Zeng Xin; Li, Guo Yin; Qi, Li Qun
2008
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
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2017
Computing block-angular Karmarkar projections with applications to stochastic programming. Zbl 0664.90051
Birge, John R.; Qi, Liqun
1988
Some simple estimates for singular values of a matrix. Zbl 0525.15009
Qi, Liqun
1984
$$\mathrm{P}$$-tensors, $$\mathrm{P}_0$$-tensors, and their applications. Zbl 1396.15020
Ding, Weiyang; Luo, Ziyan; Qi, Liqun
2018
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2018
Tensor complementarity problems. I: Basic theory. Zbl 1434.90203
Huang, Zheng-Hai; Qi, Liqun
2019
On the minimum norm solution of linear programs. Zbl 1043.90046
Kanzow, C.; Qi, H.; Qi, L.
2003
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; Qi, Liqun
2015
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
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
A trust region algorithm for minimization of locally Lipschitzian functions. Zbl 0821.90108
Qi, Liqun; Sun, Jie
1994
Tensor complementarity problems. II: Solution methods. Zbl 1429.90082
Qi, Liqun; Huang, Zheng-Hai
2019
A feasible sequential linear equation method for inequality constrained optimization. Zbl 1101.90394
Yang, Yu-Fei; Li, Dong-Hui; Qi, Liqun
2003
Differentiability and semismoothness properties of integral functions and their applications. Zbl 1079.90143
Qi, Liqun; Shapiro, Alexander; Ling, Chen
2005
Spectral norm and nuclear norm of a third order tensor. Zbl 07475159
Qi, Liqun; Hu, Shenglong; Xu, Yanwei
2022
T-Jordan canonical form and T-Drazin inverse based on the T-product. Zbl 1476.15045
Miao, Yun; Qi, Liqun; Wei, Yimin
2021
Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020
Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen
2021
Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751
Song, Yisheng; Qi, Liqun
2021
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
Further study on tensor absolute value equations. Zbl 1469.15017
Ling, Chen; Yan, Weijie; He, Hongjin; Qi, Liqun
2020
Elasticity $$\mathcal{M}$$-tensors and the strong ellipticity condition. Zbl 1433.74028
Ding, Weiyang; Liu, Jinjie; Qi, Liqun; Yan, Hong
2020
Expected residual minimization method for monotone stochastic tensor complementarity problem. Zbl 1466.90113
Ming, Zhenyu; Zhang, Liping; Qi, Liqun
2020
M-eigenvalues of the Riemann curvature tensor of conformally flat manifolds. Zbl 1474.53192
Miao, Yun; Qi, Liqun; Yiminwei
2020
The generalized order tensor complementarity problems. Zbl 1463.90221
Che, Maolin; Qi, Liqun; Wei, Yimin
2020
Stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. Zbl 1454.60117
Huang, Zheng-Hai; Qi, Liqun
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 1463.65141
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
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
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
Tensor eigenvalues and their applications. Zbl 1398.15001
Qi, Liqun; Chen, Haibin; Chen, Yannan
2018
Column sufficient tensors and tensor complementarity problems. Zbl 1418.90253
Chen, Haibin; Qi, Liqun; Song, Yisheng
2018
$$\mathrm{P}$$-tensors, $$\mathrm{P}_0$$-tensors, and their applications. Zbl 1396.15020
Ding, Weiyang; Luo, Ziyan; Qi, Liqun
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
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
Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015
Huang, Zheng-Hai; Qi, Liqun
2018
Octupolar tensors for liquid crystals. Zbl 1383.82065
Chen, Yannan; Qi, Liqun; Virga, Epifanio G.
2018
Spectral radii of two kinds of uniform hypergraphs. Zbl 1427.05136
Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying
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
2018
How entangled can a multi-party system possibly be? Zbl 1428.81030
Qi, Liqun; Zhang, Guofeng; Ni, Guyan
2018
Computing the $$p$$-spectral radii of uniform hypergraphs with applications. Zbl 1386.05103
Chang, Jingya; Ding, Weiyang; Qi, Liqun; Yan, Hong
2018
$$M$$-eigenvalues of the Riemann curvature tensor. Zbl 1417.83012
Qi, Liqun; Wei, Yimin; Xiang, Hua
2018
Some properties and applications of odd-colorable $$r$$-hypergraphs. Zbl 1377.05133
Yuan, Xiying; Qi, Liqun; Shao, Jiayu; Ouyang, Chen
2018
A quadratic penalty method for hypergraph matching. Zbl 1393.90093
Cui, Chunfeng; Li, Qingna; Qi, Liqun; Yan, Hong
2018
Isotropic polynomial invariants of Hall tensor. Zbl 1416.15020
Liu, Jinjie; Ding, Weiyang; Qi, Liqun; Zou, Wennan
2018
A note on the multidimensional moment problem. Zbl 1405.44007
Qi, Liqun
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 1454.90098
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
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
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
2017
Improved approximation results on standard quartic polynomial optimization. Zbl 1410.90167
Ling, Chen; He, Hongjin; Qi, Liqun
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
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
Circulant tensors with applications to spectral hypergraph theory and stochastic process. Zbl 1364.15017
Chen, Zhongming; Qi, Liqun
2016
Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. Zbl 1349.15026
Luo, Ziyan; Qi, Liqun
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
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
2016
A semismooth Newton method for tensor eigenvalue complementarity problem. Zbl 1377.90096
Chen, Zhongming; Qi, Liqun
2016
Higher-degree eigenvalue complementarity problems for tensors. Zbl 1338.15027
Ling, Chen; He, Hongjin; 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
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
Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2016
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
2016
Spectral directed hypergraph theory via tensors. Zbl 1335.05125
Xie, Jinshan; 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
Computing eigenvalues of large scale sparse tensors arising from a hypergraph. Zbl 1350.05109
Chang, Jingya; Chen, Yannan; Qi, Liqun
2016
A necessary and sufficient condition for existence of a positive Perron vector. Zbl 1355.15019
Hu, Shenglong; Qi, Liqun
2016
Positive semi-definiteness of generalized anti-circulant tensors. Zbl 1353.15026
Li, Guoyin; Qi, Liqun; Wang, Qun
2016
Spectral properties of odd-bipartite $$Z$$-tensors and their absolute tensors. Zbl 1360.90237
Chen, Haibin; 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
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
Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. Zbl 1371.15023
Chen, Haibin; Qi, Liqun
2015
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
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
The Laplacian of a uniform hypergraph. Zbl 1309.05120
Hu, Shenglong; 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
Some new trace formulas of tensors with applications in spectral hypergraph theory. Zbl 1310.15042
Shao, Jia-Yu; Qi, Liqun; Hu, Shenglong
2015
$$MB$$-tensors and $$MB_0$$-tensors. Zbl 1325.15022
Li, Chaoqian; Qi, Liqun; Li, Yaotang
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
...and 230 more Documents
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### Cited by 2,851 Authors

 207 Qi, Liqun 59 Huang, Zheng-Hai 49 Ma, Changfeng 46 Wang, Yiju 45 Wei, Yimin 42 Kanzow, Christian 36 Chen, Jein-Shan 35 Hu, ShengLong 34 Martínez, José Mario 34 Zhang, Liwei 33 Wei, Zengxin 33 Yuan, Gonglin 31 Li, Chaoqian 30 Bu, Changjiang 30 Sun, Defeng 29 Li, Yaotang 29 Ling, Chen 28 Jian, Jinbao 27 Zhou, Guanglu 26 Chen, Haibin 26 Chen, Xiaojun 26 Sun, Jie 25 Zhang, Liping 22 Fukushima, Masao 22 Tang, Jingyong 22 Zhang, Xinzhen 21 Andreani, Roberto 21 Li, Wen 20 Chen, Yannan 20 Du, Shouqiang 20 Liu, Sanyang 20 Song, Yisheng 20 Wu, Soon-Yi 19 He, Jun 19 Li, Donghui 19 Pu, Dingguo 19 Zhou, Jinchuan 18 Gao, Yan 18 Sun, Wenyu 18 Xiu, Naihua 18 Zhao, Jianxing 17 Pan, Shaohua 16 Fang, Liang 16 Kang, Liying 16 Toh, Kim Chuan 16 Tong, Xiaojiao 16 Zhang, Jianzhong 15 Che, Maolin 15 Fan, Yizheng 15 Haeser, Gabriel 15 Li, Guoyin 15 Yang, Qingzhi 14 Birgin, Ernesto G. 14 Chiou, Suh-Wen 14 He, Hongjin 14 Liu, Hongwei 14 Liu, Yanmin 14 Ng, Michael Kwok-Po 14 Ou, Yigui 14 Pang, Jong-Shi 14 Yang, Xiaoqi 13 Dong, Li 13 Li, Zhening 13 Liao, Li-Zhi 13 Ni, Qin 13 Nie, Jiawang 13 Qi, Houduo 13 Sang, Caili 13 Shen, Chungen 13 Vong, Seakweng 13 Wang, Qingwen 13 Zhou, Jiang 12 Che, Haitao 12 Ding, Weiyang 12 Fan, Jinyan 12 Ferreira, Orizon Pereira 12 Shao, Jiayu 12 Śmietański, Marek J. 12 Wan, Zhong 12 Wang, Ligong 12 Yang, Yuning 12 Yuan, Xiying 12 Zhang, Shuzhong 11 Chang, An 11 Han, Deren 11 Lin, Guihua 11 Shan, Erfang 11 Sheng, Zhou 11 Stechlinski, Peter G. 11 Sun, Zhe 11 Tang, Jia 11 Tawhid, Mohamed Aly 11 Wang, Changyu 11 Xu, Yi 11 Zheng, Bing 11 Zhu, Detong 11 Zhu, Zhibin 10 Babaie-Kafaki, Saman 10 Barton, Paul I. 10 Cui, Lubin ...and 2,751 more Authors
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### Cited in 301 Serials

 199 Journal of Optimization Theory and Applications 163 Applied Mathematics and Computation 161 Computational Optimization and Applications 157 Journal of Computational and Applied Mathematics 142 Linear Algebra and its Applications 117 Mathematical Programming. Series A. Series B 85 Journal of Global Optimization 73 Optimization Methods & Software 63 Optimization 59 Linear and Multilinear Algebra 59 Frontiers of Mathematics in China 57 Computational and Applied Mathematics 57 Journal of Inequalities and Applications 57 Journal of Industrial and Management Optimization 55 SIAM Journal on Optimization 53 Numerical Algorithms 43 Journal of Applied Mathematics and Computing 42 Mathematical Problems in Engineering 42 Optimization Letters 41 Computers & Mathematics with Applications 41 Numerical Functional Analysis and Optimization 37 International Journal of Computer Mathematics 33 European Journal of Operational Research 32 Journal of Mathematical Analysis and Applications 31 Numerical Linear Algebra with Applications 29 Applied Numerical Mathematics 29 SIAM Journal on Matrix Analysis and Applications 26 Abstract and Applied Analysis 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Mathematical Methods of Operations Research 20 Annals of Operations Research 18 Calcolo 18 Asia-Pacific Journal of Operational Research 18 Journal of Scientific Computing 17 Journal of Applied Mathematics 17 Journal of the Operations Research Society of China 16 Operations Research Letters 16 Applied Mathematics Letters 16 SIAM Journal on Scientific Computing 16 Journal of Combinatorial Optimization 16 Science China. Mathematics 14 Applied Mathematical Modelling 14 Set-Valued and Variational Analysis 14 Numerical Algebra, Control and Optimization 13 Computer Methods in Applied Mechanics and Engineering 13 Acta Mathematicae Applicatae Sinica. English Series 13 Open Mathematics 12 Mathematics of Computation 12 Numerische Mathematik 12 Applications of Mathematics 11 Discrete Applied Mathematics 11 Automatica 11 Top 11 Nonlinear Analysis. Real World Applications 11 Journal of Systems Science and Complexity 10 Computing 10 Applied Mathematics. Series B (English Edition) 10 Acta Mathematica Sinica. English Series 9 Discrete Mathematics 9 Applied Mathematics and Optimization 9 Information Sciences 8 International Journal for Numerical Methods in Engineering 8 Bulletin of the Iranian Mathematical Society 8 Computers & Operations Research 8 Japan Journal of Industrial and Applied Mathematics 7 BIT 7 Mathematics of Operations Research 7 Journal of Symbolic Computation 7 The Electronic Journal of Combinatorics 7 Optimization and Engineering 7 SIAM Journal on Imaging Sciences 6 Journal of Computational Physics 6 Acta Applicandae Mathematicae 6 Mathematical and Computer Modelling 6 Journal of Elasticity 6 The ANZIAM Journal 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Mathematical Programming Computation 6 Nonlinear Analysis. Theory, Methods & Applications 5 Mathematics and Computers in Simulation 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Numerical Analysis 5 Journal of Mathematical Sciences (New York) 5 Journal of Convex Analysis 5 ELA. The Electronic Journal of Linear Algebra 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Positivity 5 Structural and Multidisciplinary Optimization 5 4OR 5 Discrete Optimization 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 SIAM Journal on Applied Algebra and Geometry 5 Communications on Applied Mathematics and Computation 4 Journal of the Franklin Institute 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Mechanics. (English Edition) 4 Computational Mechanics 4 Vietnam Journal of Mathematics 4 Taiwanese Journal of Mathematics 4 Soft Computing ...and 201 more Serials
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### Cited in 51 Fields

 1,810 Operations research, mathematical programming (90-XX) 1,280 Numerical analysis (65-XX) 736 Linear and multilinear algebra; matrix theory (15-XX) 446 Calculus of variations and optimal control; optimization (49-XX) 188 Combinatorics (05-XX) 97 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Mechanics of deformable solids (74-XX) 89 Operator theory (47-XX) 83 Computer science (68-XX) 55 Partial differential equations (35-XX) 45 Systems theory; control (93-XX) 42 Probability theory and stochastic processes (60-XX) 41 Algebraic geometry (14-XX) 40 Statistics (62-XX) 38 Information and communication theory, circuits (94-XX) 31 Real functions (26-XX) 27 Fluid mechanics (76-XX) 26 Ordinary differential equations (34-XX) 24 Differential geometry (53-XX) 23 Quantum theory (81-XX) 20 Convex and discrete geometry (52-XX) 15 Commutative algebra (13-XX) 15 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Mechanics of particles and systems (70-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Approximations and expansions (41-XX) 6 Field theory and polynomials (12-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 4 Functions of a complex variable (30-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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