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## Huang, Zheng-Hai

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 Author ID: huang.zheng-hai Published as: Huang, Zheng-Hai; Huang, Zhenghai; Huang, Z.; Huang, Z. H.; Huang, ZhengHai; Huang, Zheng Hai; Huang, Z.-H.
 Documents Indexed: 155 Publications since 1993
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#### Co-Authors

 8 single-authored 22 Hu, ShengLong 17 Qi, Liqun 13 Han, Jiye 9 Lu, Nan 8 Li, Yufan 7 Zheng, Mengmeng 6 Hu, Shigeng 5 Bai, Xueli 5 Yang, Lei 5 Zhang, Min 4 Gu, Weizhe 4 Miao, Xinhe 4 Shang, Kun 4 Sun, Jie 4 Xu, Dachuan 4 Zhang, Liping 3 Shen, Yi 3 Sun, Defeng 3 Zhou, Kunping 2 Chen, Haibin 2 Chen, Jein-Shan 2 Fang, Shu-Cherng 2 Hu, Xinxin 2 Li, Xia 2 Li, Zhiming 2 Liu, Xiaohong 2 Ma, Xiaoxiao 2 Meng, Xu 2 Shi, Xianjun 2 Wang, Zhemin 2 Xu, Shangwen 2 You, Guowei 2 Zhang, Xinzhen 2 Zhao, Na 1 Abhyankar, Shrirang 1 Barajas-Solano, David A. 1 Bechtold, John K. 1 Cao, Haifang 1 Chen, Zheng 1 Chen, Zhongwen 1 Cheng, Shijie 1 Constantinescu, Emil M. 1 Dai, Xi 1 Deng, Guantie 1 Galluccio, Stefano 1 Ghosh, Debojyoti 1 Guo, Qi 1 Hanajima, N. 1 Hu Shigeng 1 Huang, Xianbin 1 İlker Birbil, Ş. 1 Khachiyan, Leonid Genrikhovich 1 Lin, Guihua 1 Ling, Chen 1 Liu, Wanquan 1 Lü, Liangfu 1 Lu, Liyong 1 Ly, J.-M. 1 Ma, Ling 1 Matalon, Moshe 1 Ni, Hongyan 1 Ni, Tie 1 Qian, Daocui 1 Ren, Xiaoxu 1 Scaillet, Olivier 1 Schaerer, Christian E. 1 She, C.-Y. 1 Smith, Barry F. 1 Spedicato, Emilio 1 Suo, Yun-Yang 1 Tao, Shibing 1 Tartakovsky, Alexandre M. 1 Wang, Chunlin 1 Wang, Hui 1 Wang, Xianjie 1 Wang, Xing 1 Wang, Zheming 1 Xiu, Naihua 1 Xu, Fan 1 Yin, Hongxia 1 Yip-Hoi, D. 1 Zhang, Qiong 1 Zhang, Xinyue 1 Zhang, Yanjiao 1 Zhang, Yuming 1 Zhao, Gongyun 1 Zuo, Renguang
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#### Serials

 15 Journal of Optimization Theory and Applications 9 Journal of Computational and Applied Mathematics 8 Mathematica Applicata 8 Computational Optimization and Applications 7 Journal of Industrial and Management Optimization 6 Applied Mathematics and Computation 6 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Global Optimization 5 Mechanism and Machine Theory 5 Pacific Journal of Optimization 4 Asia-Pacific Journal of Operational Research 4 Optimization Letters 3 Applied Mathematics and Optimization 3 Journal of Systems Science and Mathematical Sciences 3 Optimization Methods & Software 3 Mathematical Methods of Operations Research 3 Journal of the Operations Research Society of China 2 Computing 2 Information Sciences 2 Numerical Functional Analysis and Optimization 2 Operations Research Letters 2 Journal of Computational Mathematics 2 Optimization 2 Journal of Fudan University. Natural Science 2 Journal of Robotic Systems 2 Science in China. Series A 2 Acta Mathematica Sinica. English Series 2 Chinese Journal of Contemporary Mathematics 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 Operations Research Transactions 1 IEEE Transactions on Information Theory 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Journal of Mathematics. Wuhan University 1 Acta Mathematicae Applicatae Sinica 1 Journal of Mathematical Research & Exposition 1 Mathematics in Practice and Theory 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Northeastern Mathematical Journal 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 CAD. Computer-Aided Design 1 IEEE Transactions on Signal Processing 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 Journal of Huazhong University of Science and Technology 1 Mathematical Finance 1 Journal of Mathematical Study 1 Combustion Theory and Modelling 1 Journal of Systems Science and Complexity 1 Journal of Numerical Mathematics 1 Inverse Problems and Imaging 1 SIAM/ASA Journal on Uncertainty Quantification
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#### Fields

 113 Operations research, mathematical programming (90-XX) 58 Numerical analysis (65-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 8 Mechanics of particles and systems (70-XX) 7 Information and communication theory, circuits (94-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

104 Publications have been cited 1,300 times in 579 Documents Cited by Year
On determinants and eigenvalue theory of tensors. Zbl 1259.15038
Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun
2013
Smoothing algorithms for complementarity problems over symmetric cones. Zbl 1198.90373
Huang, Zheng-Hai; Ni, Tie
2010
Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a $$P_0$$ function. Zbl 1044.90081
Huang, Z. H.; Han, J.; Chen, Z.
2003
Global uniqueness and solvability for tensor complementarity problems. Zbl 1344.90056
Bai, Xue-Li; Huang, Zheng-Hai; Wang, Yong
2016
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
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
Exceptionally regular tensors and tensor complementarity problems. Zbl 1368.90158
Wang, Yong; Huang, Zheng-Hai; Bai, Xue-Li
2016
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
2014
The non-interior continuation methods for solving the $$P_0$$ function nonlinear complementarity problem. Zbl 1002.90072
Huang, Zhenghai; Han, Jiye; Xu, Dachuan; Zhang, Liping
2001
Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search. Zbl 1203.90123
Huang, ZhengHai; Hu, ShengLong; Han, JiYe
2009
A generalized Newton method for absolute value equations associated with second order cones. Zbl 1204.65065
Hu, Sheng-Long; Huang, Zheng-Hai; Zhang, Qiong
2011
A note on absolute value equations. Zbl 1202.90251
Hu, Sheng-Long; Huang, Zheng-Hai
2010
A smoothing-type algorithm for solving system of inequalities. Zbl 1148.65039
Huang, Zheng-Hai; Zhang, Ying; Wu, Wei
2008
Tensor complementarity problems. I: Basic theory. Zbl 1434.90203
Huang, Zheng-Hai; Qi, Liqun
2019
Superlinear/quadratic one-step smoothing Newton method for $$P_0$$-NCP. Zbl 1124.90037
Zhang, Liping; Han, Jiye; Huang, Zhenghai
2005
A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems. Zbl 1173.90552
Hu, Sheng-Long; Huang, Zheng-Hai; Wang, Ping
2009
Solvability of variational inequality problems. Zbl 1082.49009
Han, J.; Huang, Zheng-Hai; Fang, Shu-Cherng
2004
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2017
A nonmonotone smoothing-type algorithm for solving a system of equalities and inequalities. Zbl 1181.90265
Zhang, Ying; Huang, Zheng-Hai
2010
Locating a maximally complementary solution of the monotone NCP by using non-interior-point smoothing algorithms. Zbl 1066.90127
Huang, Zheng-Hai
2005
Tensor complementarity problems. II: Solution methods. Zbl 1429.90082
Qi, Liqun; Huang, Zheng-Hai
2019
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
2012
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2018
A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. Zbl 1151.90509
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun
2006
Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems. Zbl 1172.65029
Hu, Sheng-Long; Huang, Zheng-Hai; Chen, Jein-Shan
2009
Restricted $$p$$-isometry properties of nonconvex matrix recovery. Zbl 1364.94179
Zhang, Min; Huang, Zheng-Hai; Zhang, Ying
2013
Tensor complementarity problems. III: Applications. Zbl 1433.90169
Huang, Zheng-Hai; Qi, Liqun
2019
A non-interior continuation algorithm for the $$P_0$$ or $$P*$$ LCP with strong global and local convergence properties. Zbl 1112.90083
Huang, Zheng-Hai; Sun, Jie
2005
Non-interior continuation method for solving the monotone semidefinite complementarity problem. Zbl 1030.65069
Huang, Zhenghai; Han, Jiye
2003
The global linear and local quadratic convergence of a noninterior continuation algorithm for the LCP. Zbl 1084.65061
Huang, Zheng-Hai
2005
Global uniqueness and solvability of tensor variational inequalities. Zbl 1409.90207
Wang, Yong; Huang, Zheng-Hai; Qi, Liqun
2018
Numerical experience with Newton-like methods for nonlinear algebraic systems. Zbl 0866.65033
Spedicato, E.; Huang, Z.
1997
Finding the extreme $$Z$$-eigenvalues of tensors via a sequential semidefinite programming method. Zbl 1313.90173
Hu, Shenglong; Huang, Zheng-Hai; Qi, Liqun
2013
A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones. Zbl 1175.90290
Liu, Xiao-Hong; Huang, Zheng-Hai
2009
A reweighted nuclear norm minimization algorithm for low rank matrix recovery. Zbl 1301.65049
Li, Yu-Fan; Zhang, Yan-Jiao; Huang, Zheng-Hai
2014
A non-monotone line search algorithm for unconstrained optimization. Zbl 1203.90146
Hu, Sheng-Long; Huang, Zheng-Hai; Lu, Nan
2010
A smoothing Newton algorithm for the LCP with a sufficient matrix that terminates finitely at a maximally complementary solution. Zbl 1113.90158
Sun, Jie; Huang, Zheng-Hai
2006
Properties of $$S$$-tensors. Zbl 1411.90336
Guo, Qi; Zheng, Meng-Meng; Huang, Zheng-Hai
2019
Convergence properties of a non-interior-point smoothing algorithm for the $$P*$$NCP. Zbl 1166.90370
Huang, Zheng-Hai; Xu, Shang-Wen
2007
Sufficient conditions on nonemptiness and boundedness of the solution set of the $$P_{0}$$ function nonlinear complementarity problem. Zbl 1010.90081
Huang, Zhenghai
2002
Global error bounds for the tensor complementarity problem with a $$P$$-tensor. Zbl 1438.90372
Zheng, Mengmeng; Zhang, Ying; Huang, Zheng-Hai
2019
Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2016
Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015
Huang, Zheng-Hai; Qi, Liqun
2018
Error bounds for the solution sets of quadratic complementarity problems. Zbl 1402.90189
Hu, Shenglong; Wang, Jie; Huang, Zheng-Hai
2018
Approximating fixed points of weakly contracting mappings. Zbl 0948.65055
Huang, Z.; Khachiyan, L.; Sikorski, K.
1999
A new class of penalized NCP-functions and its properties. Zbl 1254.90253
Chen, J.-S.; Huang, Z.-H.; She, C.-Y.
2011
Solution sets of quadratic complementarity problems. Zbl 1412.90153
Wang, Jie; Hu, Shenglong; Huang, Zheng-Hai
2018
The convergence of a Levenberg-Marquardt method for nonlinear inequalities. Zbl 1191.90075
Yin, Hongxia; Huang, Zheng-Hai; Qi, Liqun
2008
A smoothing-type algorithm for solving linear complementarity problems with strong convergence properties. Zbl 1190.90236
Huang, Zheng-Hai; Gu, Wei-Zhe
2008
Extension of smoothing Newton algorithms to solve linear programming over symmetric cones. Zbl 1242.90100
Huang, Zhenghai; Liu, Xiaohong
2011
A smoothing Newton algorithm for a class of non-monotonic symmetric cone linear complementarity problems. Zbl 1291.90261
Lu, Nan; Huang, Zheng-Hai
2014
Polynomiality of a high-order feasible interior point method for solving the horizontal linear complementarity problems. Zbl 0996.90084
Huang, Zhenghai
2000
The singularity principle and property of Stewart parallel manipulator. Zbl 1047.70014
Huang, Z.; Chen, L. H.; Li, Y. W.
2003
Improved approximation algorithms for MAX $$\frac{n}2$$-DIRECTED-BISECTION and MAX $$\frac{n}2$$-DENSE-SUBGRAPH. Zbl 1046.90094
Xu, Dachuan; Han, Jiye; Huang, Zhenghai; Zhang, Liping
2003
Theory and calibration of swap market models. Zbl 1278.91074
Galluccio, S.; Ly, J.-M.; Huang, Z.; Scaillet, O.
2007
Analysis of instantaneous motions of deficient-rank 3-RPS parallel manipulators. Zbl 1140.70435
Huang, Z.; Wang, J.; Fang, Y. F.
2002
Generalization of an existence theorem for variational inequalities. Zbl 1045.49006
Huang, Z. H.
2003
On the finite termination of an entropy function based non-interior continuation method for vertical linear complementarity problems. Zbl 1093.90064
Fang, Shu-Cherng; Han, Jiye; Huang, Zheng-Hai; İlker Birbil, Ş.
2005
A fixed point iterative method for low $$n$$-rank tensor pursuit. Zbl 1393.90090
Yang, Lei; Huang, Zheng-Hai; Shi, Xianjun
2013
GUS-property for Lorentz cone linear complementarity problems on Hilbert spaces. Zbl 1258.90085
Miao, XinHe; Huang, ZhengHai
2011
Low Tucker rank tensor recovery via ADMM based on exact and inexact iteratively reweighted algorithms. Zbl 1377.65066
Li, Yu-Fan; Shang, Kun; Huang, Zheng-Hai
2018
A hybrid smoothing-nonsmooth Newton-type algorithm yielding an exact solution of the $$P_0$$-LCP. Zbl 1068.65075
Huang, Zhenghai; Zhang, Liping; Han, Jiye
2004
Stability of solutions and continuity of solution maps of tensor complementarity problems. Zbl 1415.90127
Bai, Xue-Li; Huang, Zheng-Hai; Li, Xia
2019
Test of copositive tensors. Zbl 1463.65141
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2019
Estimations on upper and lower bounds of solutions to a class of tensor complementarity problems. Zbl 1417.15036
Xu, Yang; Gu, Weizhe; Huang, Zheng-Hai
2019
A fixed point method for the linear complementarity problem arising from American option pricing. Zbl 1358.90141
Shi, Xian-Jun; Yang, Lei; Huang, Zheng-Hai
2016
Weak injective covers and dimension of modules. Zbl 1363.18011
Gao, Z.; Huang, Z.
2015
Properties of a class of nonlinear transformations over Euclidean Jordan algebras with applications to complementarity problems. Zbl 1180.90340
Lu, Nan; Huang, Zheng-Hai; Han, Jiye
2009
A revised cut-peak function method for box constrained continuous global optimization. Zbl 1193.90173
Huang, Zheng-Hai; Miao, Xin-He; Wang, Ping
2007
Convergence of a non-interior continuation algorithm for the monotone SCCP. Zbl 1225.90135
Lu, Nan; Huang, Zheng-Hai
2010
Three classes of merit functions for the complementarity problem over a closed convex cone. Zbl 1273.90148
Lu, Nan; Huang, Zheng-Hai
2013
The sparsest solution to the system of absolute value equations. Zbl 1351.90138
Zhang, Min; Huang, Zheng-Hai; Li, Yu-Fan
2015
Nonemptiness and compactness of solution sets to generalized polynomial complementarity problems. Zbl 1451.90163
Zheng, Meng-Meng; Huang, Zheng-Hai; Ma, Xiao-Xiao
2020
Weakly stretched premixed flames in oscillating flows. Zbl 0930.35177
Huang, Z.; Bechtold, J. K.; Matalon, M.
1998
Some $$\omega$$-unique and $$\omega -P$$ properties for linear transformations on Hilbert spaces. Zbl 1206.90194
Miao, Xin-He; Huang, Zheng-Hai; Han, Ji-Ye
2010
A smoothing Newton algorithm for mathematical programs with complementarity constraints. Zbl 1177.90374
Huang, Zheng-Hai; Sun, Jie
2005
Smoothing-type algorithm for solving linear programs by using an augmented complementarity problem. Zbl 1101.65060
Huang, Zheng-Hai; Wang, Hui
2006
A note on the nonemptiness and compactness of solution sets of weakly homogeneous variational inequalities. Zbl 1435.90135
Ma, Xiao-Xiao; Zheng, Meng-Meng; Huang, Zheng-Hai
2020
Alternating direction method for bi-quadratic programming. Zbl 1248.65061
Hu, Sheng-Long; Huang, Zheng-Hai
2011
The column-sufficiency and row-sufficiency of the linear transformation on Hilbert spaces. Zbl 1229.90237
Miao, Xin-He; Huang, Zheng-Hai
2011
Theorems of the alternative for inequality systems of real polynomials. Zbl 1267.90138
Hu, Sheng-Long; Huang, Zheng-Hai
2012
Smoothness of a class of generalized merit functions for the second-order cone complementarity problem. Zbl 1226.90117
Hu, Sheng-Long; Huang, Zheng-Hai; Lu, Nan
2010
An iterative algorithm for third-order tensor multi-rank minimization. Zbl 1356.90143
Yang, Lei; Huang, Zheng-Hai; Hu, Shenglong; Han, Jiye
2016
Minimum $$n$$-rank approximation via iterative hard thresholding. Zbl 1338.15053
Zhang, Min; Yang, Lei; Huang, Zheng-Hai
2015
Kinematic principle and geometrical condition of general-linear-complex special configuration of parallel manipulators. Zbl 1049.70542
Huang, Z.; Zhao, Y. S.; Wang, J.; Yu, J. J.
1999
Cascadic multigrid method for $$P_1$$-nonconforming quadrilateral element. Zbl 1180.65165
Wang, C.; Huang, Z.; Li, L.
2008
Restart row update ABS methods for solving systems of nonlinear equations. Zbl 0781.65045
Huang, Z.
1993
Feasible instantaneous motions and kinematic characteristics of a special 3-DOF 3-UPU parallel manipulator. Zbl 1143.70322
Huang, Z.; Li, S. H.; Zuo, R. G.
2004
Properties of a family of merit functions and a merit function method for the NCP. Zbl 1240.90443
Lu, Liyong; Huang, Zhenghai; Hu, Shenglong
2010
A new existence theorem for variational inequality problem. Zbl 1051.47047
Tao, Shibing; Huang, Zhenghai
2003
Existence and uniqueness of solutions of the generalized polynomial variational inequality. Zbl 07238357
Wang, Jing; Huang, Zheng-Hai; Xu, Yang
2020
An inexact augmented Lagrangian multiplier method for solving quadratic complementary problems: an adapted algorithmic framework combining specific resolution techniques. Zbl 1418.90262
Hu, Shenglong; Wang, Jie; Huang, Zheng-Hai
2019
A nonmonotone smoothing Newton algorithm for solving box constrained variational inequalities with a $$P_0$$ function. Zbl 1225.90140
Zhao, Na; Huang, Zheng-Hai
2011
A splitting augmented Lagrangian method for low multilinear-rank tensor recovery. Zbl 1312.94013
Yang, Lei; Huang, Zheng-Hai; Li, Yu-Fan
2015
Conditions for the equivalence between the low-$$n$$-rank tensor recovery problem and its convex relaxation. Zbl 1329.94019
Zhang, Min; Huang, Zheng-Hai
2015
Global and global linear convergence of smoothing algorithm for the Cartesian $$P_*(\kappa)$$-SCLCP. Zbl 1364.90246
Huang, Zheng-Hai; Lu, Nan
2012
Probabilistic density function method for stochastic ODEs of power systems with uncertain power input. Zbl 1339.60090
Wang, P.; Barajas-Solano, D. A.; Constantinescu, E.; Abhyankar, S.; Ghosh, D.; Smith, B. F.; Huang, Z.; Tartakovsky, A. M.
2015
Global Lipschitzian error bounds for semidefinite complementarity problems with emphasis on NCPs. Zbl 1131.65050
Huang, Zheng-Hai
2005
A family of symmetrical lower-mobility parallel mechanisms with spherical and parallel subchains. Zbl 1047.70017
Li, Q. C.; Huang, Z.
2003
Dynamic performance analysis of six-legged walking machines. Zbl 1047.70615
Zhao, Y. S.; Lu, L.; Zhao, T. S.; Du, Y. H.; Huang, Z.
2000
Nonemptiness and compactness of solution sets to generalized polynomial complementarity problems. Zbl 1451.90163
Zheng, Meng-Meng; Huang, Zheng-Hai; Ma, Xiao-Xiao
2020
A note on the nonemptiness and compactness of solution sets of weakly homogeneous variational inequalities. Zbl 1435.90135
Ma, Xiao-Xiao; Zheng, Meng-Meng; Huang, Zheng-Hai
2020
Existence and uniqueness of solutions of the generalized polynomial variational inequality. Zbl 07238357
Wang, Jing; Huang, Zheng-Hai; Xu, Yang
2020
Connectedness of the solution set of the tensor complementarity problem. Zbl 1436.15026
Li, Yan; Huang, Zheng-Hai; Hu, Shenglong
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
Properties of $$S$$-tensors. Zbl 1411.90336
Guo, Qi; Zheng, Meng-Meng; Huang, Zheng-Hai
2019
Global error bounds for the tensor complementarity problem with a $$P$$-tensor. Zbl 1438.90372
Zheng, Mengmeng; Zhang, Ying; Huang, Zheng-Hai
2019
Stability of solutions and continuity of solution maps of tensor complementarity problems. Zbl 1415.90127
Bai, Xue-Li; Huang, Zheng-Hai; Li, Xia
2019
Test of copositive tensors. Zbl 1463.65141
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2019
Estimations on upper and lower bounds of solutions to a class of tensor complementarity problems. Zbl 1417.15036
Xu, Yang; Gu, Weizhe; Huang, Zheng-Hai
2019
An inexact augmented Lagrangian multiplier method for solving quadratic complementary problems: an adapted algorithmic framework combining specific resolution techniques. Zbl 1418.90262
Hu, Shenglong; Wang, Jie; Huang, Zheng-Hai
2019
Properties of the nonnegative solution set of multi-linear equations. Zbl 1459.15005
Xu, Yang; Gu, Weizhe; Huang, Zheng-Hai
2019
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2018
Global uniqueness and solvability of tensor variational inequalities. Zbl 1409.90207
Wang, Yong; Huang, Zheng-Hai; Qi, Liqun
2018
Positive definiteness of paired symmetric tensors and elasticity tensors. Zbl 1392.74015
Huang, Zheng-Hai; Qi, Liqun
2018
Error bounds for the solution sets of quadratic complementarity problems. Zbl 1402.90189
Hu, Shenglong; Wang, Jie; Huang, Zheng-Hai
2018
Solution sets of quadratic complementarity problems. Zbl 1412.90153
Wang, Jie; Hu, Shenglong; Huang, Zheng-Hai
2018
Low Tucker rank tensor recovery via ADMM based on exact and inexact iteratively reweighted algorithms. Zbl 1377.65066
Li, Yu-Fan; Shang, Kun; Huang, Zheng-Hai
2018
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
Copositivity detection of tensors: theory and algorithm. Zbl 1377.65060
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2017
Global uniqueness and solvability for tensor complementarity problems. Zbl 1344.90056
Bai, Xue-Li; Huang, Zheng-Hai; Wang, Yong
2016
Exceptionally regular tensors and tensor complementarity problems. Zbl 1368.90158
Wang, Yong; Huang, Zheng-Hai; Bai, Xue-Li
2016
Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun
2016
A fixed point method for the linear complementarity problem arising from American option pricing. Zbl 1358.90141
Shi, Xian-Jun; Yang, Lei; Huang, Zheng-Hai
2016
An iterative algorithm for third-order tensor multi-rank minimization. Zbl 1356.90143
Yang, Lei; Huang, Zheng-Hai; Hu, Shenglong; Han, Jiye
2016
Weak injective covers and dimension of modules. Zbl 1363.18011
Gao, Z.; Huang, Z.
2015
The sparsest solution to the system of absolute value equations. Zbl 1351.90138
Zhang, Min; Huang, Zheng-Hai; Li, Yu-Fan
2015
Minimum $$n$$-rank approximation via iterative hard thresholding. Zbl 1338.15053
Zhang, Min; Yang, Lei; Huang, Zheng-Hai
2015
A splitting augmented Lagrangian method for low multilinear-rank tensor recovery. Zbl 1312.94013
Yang, Lei; Huang, Zheng-Hai; Li, Yu-Fan
2015
Conditions for the equivalence between the low-$$n$$-rank tensor recovery problem and its convex relaxation. Zbl 1329.94019
Zhang, Min; Huang, Zheng-Hai
2015
Probabilistic density function method for stochastic ODEs of power systems with uncertain power input. Zbl 1339.60090
Wang, P.; Barajas-Solano, D. A.; Constantinescu, E.; Abhyankar, S.; Ghosh, D.; Smith, B. F.; Huang, Z.; Tartakovsky, A. M.
2015
Entropy function-based algorithms for solving a class of nonconvex minimization problems. Zbl 1332.90210
Li, Yu-Fan; Huang, Zheng-Hai; Zhang, Min
2015
Strictly nonnegative tensors and nonnegative tensor partition. Zbl 1312.15035
Hu, Shenglong; Huang, Zhenghai; Qi, Liqun
2014
A reweighted nuclear norm minimization algorithm for low rank matrix recovery. Zbl 1301.65049
Li, Yu-Fan; Zhang, Yan-Jiao; Huang, Zheng-Hai
2014
A smoothing Newton algorithm for a class of non-monotonic symmetric cone linear complementarity problems. Zbl 1291.90261
Lu, Nan; Huang, Zheng-Hai
2014
On determinants and eigenvalue theory of tensors. Zbl 1259.15038
Hu, Shenglong; Huang, Zheng-Hai; Ling, Chen; Qi, Liqun
2013
Restricted $$p$$-isometry properties of nonconvex matrix recovery. Zbl 1364.94179
Zhang, Min; Huang, Zheng-Hai; Zhang, Ying
2013
Finding the extreme $$Z$$-eigenvalues of tensors via a sequential semidefinite programming method. Zbl 1313.90173
Hu, Shenglong; Huang, Zheng-Hai; Qi, Liqun
2013
A fixed point iterative method for low $$n$$-rank tensor pursuit. Zbl 1393.90090
Yang, Lei; Huang, Zheng-Hai; Shi, Xianjun
2013
Three classes of merit functions for the complementarity problem over a closed convex cone. Zbl 1273.90148
Lu, Nan; Huang, Zheng-Hai
2013
Positive definiteness of diffusion kurtosis imaging. Zbl 1242.90164
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun
2012
Theorems of the alternative for inequality systems of real polynomials. Zbl 1267.90138
Hu, Sheng-Long; Huang, Zheng-Hai
2012
Global and global linear convergence of smoothing algorithm for the Cartesian $$P_*(\kappa)$$-SCLCP. Zbl 1364.90246
Huang, Zheng-Hai; Lu, Nan
2012
A generalized Newton method for absolute value equations associated with second order cones. Zbl 1204.65065
Hu, Sheng-Long; Huang, Zheng-Hai; Zhang, Qiong
2011
A new class of penalized NCP-functions and its properties. Zbl 1254.90253
Chen, J.-S.; Huang, Z.-H.; She, C.-Y.
2011
Extension of smoothing Newton algorithms to solve linear programming over symmetric cones. Zbl 1242.90100
Huang, Zhenghai; Liu, Xiaohong
2011
GUS-property for Lorentz cone linear complementarity problems on Hilbert spaces. Zbl 1258.90085
Miao, XinHe; Huang, ZhengHai
2011
Alternating direction method for bi-quadratic programming. Zbl 1248.65061
Hu, Sheng-Long; Huang, Zheng-Hai
2011
The column-sufficiency and row-sufficiency of the linear transformation on Hilbert spaces. Zbl 1229.90237
Miao, Xin-He; Huang, Zheng-Hai
2011
A nonmonotone smoothing Newton algorithm for solving box constrained variational inequalities with a $$P_0$$ function. Zbl 1225.90140
Zhao, Na; Huang, Zheng-Hai
2011
Smoothing algorithms for complementarity problems over symmetric cones. Zbl 1198.90373
Huang, Zheng-Hai; Ni, Tie
2010
A note on absolute value equations. Zbl 1202.90251
Hu, Sheng-Long; Huang, Zheng-Hai
2010
A nonmonotone smoothing-type algorithm for solving a system of equalities and inequalities. Zbl 1181.90265
Zhang, Ying; Huang, Zheng-Hai
2010
A non-monotone line search algorithm for unconstrained optimization. Zbl 1203.90146
Hu, Sheng-Long; Huang, Zheng-Hai; Lu, Nan
2010
Convergence of a non-interior continuation algorithm for the monotone SCCP. Zbl 1225.90135
Lu, Nan; Huang, Zheng-Hai
2010
Some $$\omega$$-unique and $$\omega -P$$ properties for linear transformations on Hilbert spaces. Zbl 1206.90194
Miao, Xin-He; Huang, Zheng-Hai; Han, Ji-Ye
2010
Smoothness of a class of generalized merit functions for the second-order cone complementarity problem. Zbl 1226.90117
Hu, Sheng-Long; Huang, Zheng-Hai; Lu, Nan
2010
Properties of a family of merit functions and a merit function method for the NCP. Zbl 1240.90443
Lu, Liyong; Huang, Zhenghai; Hu, Shenglong
2010
Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search. Zbl 1203.90123
Huang, ZhengHai; Hu, ShengLong; Han, JiYe
2009
A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems. Zbl 1173.90552
Hu, Sheng-Long; Huang, Zheng-Hai; Wang, Ping
2009
Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems. Zbl 1172.65029
Hu, Sheng-Long; Huang, Zheng-Hai; Chen, Jein-Shan
2009
A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones. Zbl 1175.90290
Liu, Xiao-Hong; Huang, Zheng-Hai
2009
Properties of a class of nonlinear transformations over Euclidean Jordan algebras with applications to complementarity problems. Zbl 1180.90340
Lu, Nan; Huang, Zheng-Hai; Han, Jiye
2009
A smoothing-type algorithm for solving system of inequalities. Zbl 1148.65039
Huang, Zheng-Hai; Zhang, Ying; Wu, Wei
2008
The convergence of a Levenberg-Marquardt method for nonlinear inequalities. Zbl 1191.90075
Yin, Hongxia; Huang, Zheng-Hai; Qi, Liqun
2008
A smoothing-type algorithm for solving linear complementarity problems with strong convergence properties. Zbl 1190.90236
Huang, Zheng-Hai; Gu, Wei-Zhe
2008
Cascadic multigrid method for $$P_1$$-nonconforming quadrilateral element. Zbl 1180.65165
Wang, C.; Huang, Z.; Li, L.
2008
Convergence properties of a non-interior-point smoothing algorithm for the $$P*$$NCP. Zbl 1166.90370
Huang, Zheng-Hai; Xu, Shang-Wen
2007
Theory and calibration of swap market models. Zbl 1278.91074
Galluccio, S.; Ly, J.-M.; Huang, Z.; Scaillet, O.
2007
A revised cut-peak function method for box constrained continuous global optimization. Zbl 1193.90173
Huang, Zheng-Hai; Miao, Xin-He; Wang, Ping
2007
A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. Zbl 1151.90509
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun
2006
A smoothing Newton algorithm for the LCP with a sufficient matrix that terminates finitely at a maximally complementary solution. Zbl 1113.90158
Sun, Jie; Huang, Zheng-Hai
2006
Smoothing-type algorithm for solving linear programs by using an augmented complementarity problem. Zbl 1101.65060
Huang, Zheng-Hai; Wang, Hui
2006
Superlinear/quadratic one-step smoothing Newton method for $$P_0$$-NCP. Zbl 1124.90037
Zhang, Liping; Han, Jiye; Huang, Zhenghai
2005
Locating a maximally complementary solution of the monotone NCP by using non-interior-point smoothing algorithms. Zbl 1066.90127
Huang, Zheng-Hai
2005
A non-interior continuation algorithm for the $$P_0$$ or $$P*$$ LCP with strong global and local convergence properties. Zbl 1112.90083
Huang, Zheng-Hai; Sun, Jie
2005
The global linear and local quadratic convergence of a noninterior continuation algorithm for the LCP. Zbl 1084.65061
Huang, Zheng-Hai
2005
On the finite termination of an entropy function based non-interior continuation method for vertical linear complementarity problems. Zbl 1093.90064
Fang, Shu-Cherng; Han, Jiye; Huang, Zheng-Hai; İlker Birbil, Ş.
2005
A smoothing Newton algorithm for mathematical programs with complementarity constraints. Zbl 1177.90374
Huang, Zheng-Hai; Sun, Jie
2005
Global Lipschitzian error bounds for semidefinite complementarity problems with emphasis on NCPs. Zbl 1131.65050
Huang, Zheng-Hai
2005
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
Solvability of variational inequality problems. Zbl 1082.49009
Han, J.; Huang, Zheng-Hai; Fang, Shu-Cherng
2004
A hybrid smoothing-nonsmooth Newton-type algorithm yielding an exact solution of the $$P_0$$-LCP. Zbl 1068.65075
Huang, Zhenghai; Zhang, Liping; Han, Jiye
2004
Feasible instantaneous motions and kinematic characteristics of a special 3-DOF 3-UPU parallel manipulator. Zbl 1143.70322
Huang, Z.; Li, S. H.; Zuo, R. G.
2004
Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a $$P_0$$ function. Zbl 1044.90081
Huang, Z. H.; Han, J.; Chen, Z.
2003
Non-interior continuation method for solving the monotone semidefinite complementarity problem. Zbl 1030.65069
Huang, Zhenghai; Han, Jiye
2003
The singularity principle and property of Stewart parallel manipulator. Zbl 1047.70014
Huang, Z.; Chen, L. H.; Li, Y. W.
2003
Improved approximation algorithms for MAX $$\frac{n}2$$-DIRECTED-BISECTION and MAX $$\frac{n}2$$-DENSE-SUBGRAPH. Zbl 1046.90094
Xu, Dachuan; Han, Jiye; Huang, Zhenghai; Zhang, Liping
2003
Generalization of an existence theorem for variational inequalities. Zbl 1045.49006
Huang, Z. H.
2003
A new existence theorem for variational inequality problem. Zbl 1051.47047
Tao, Shibing; Huang, Zhenghai
2003
A family of symmetrical lower-mobility parallel mechanisms with spherical and parallel subchains. Zbl 1047.70017
Li, Q. C.; Huang, Z.
2003
Sufficient conditions on nonemptiness and boundedness of the solution set of the $$P_{0}$$ function nonlinear complementarity problem. Zbl 1010.90081
Huang, Zhenghai
2002
Analysis of instantaneous motions of deficient-rank 3-RPS parallel manipulators. Zbl 1140.70435
Huang, Z.; Wang, J.; Fang, Y. F.
2002
The non-interior continuation methods for solving the $$P_0$$ function nonlinear complementarity problem. Zbl 1002.90072
Huang, Zhenghai; Han, Jiye; Xu, Dachuan; Zhang, Liping
2001
An asymptotical $$O((k+1)n^3L)$$ affine scaling algorithm for the $$P_*(k)$$-matrix linear complementarity problem. Zbl 1016.90069
Wang, Zheming; Huang, Zhenghai; Zhou, Kunping
2001
Polynomiality of a high-order feasible interior point method for solving the horizontal linear complementarity problems. Zbl 0996.90084
Huang, Zhenghai
2000
Dynamic performance analysis of six-legged walking machines. Zbl 1047.70615
Zhao, Y. S.; Lu, L.; Zhao, T. S.; Du, Y. H.; Huang, Z.
2000
Approximating fixed points of weakly contracting mappings. Zbl 0948.65055
Huang, Z.; Khachiyan, L.; Sikorski, K.
1999
...and 4 more Documents
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#### Cited by 626 Authors

 72 Huang, Zheng-Hai 46 Qi, Liqun 25 Ma, Changfeng 23 Hu, ShengLong 23 Wei, Yimin 20 Tang, Jingyong 17 Liu, Sanyang 16 Chen, Jein-Shan 16 Li, Chaoqian 15 Chen, Haibin 14 Li, Yaotang 14 Wang, Yiju 14 Zhang, Liping 14 Zhou, Jinchuan 13 Fang, Liang 12 Dong, Li 11 Che, Maolin 11 Chi, Xiaoni 11 Miao, Xinhe 10 Wan, Zhongping 9 Bu, Changjiang 9 Gu, Weizhe 9 Lu, Nan 9 Zhu, Jianguang 8 Tang, Jia 7 Che, Haitao 7 Du, Shouqiang 7 Li, Cuixia 7 Li, Yufan 7 Liu, Hongwei 7 Liu, Qilong 7 Ni, Tie 7 Song, Yisheng 7 Zheng, Mengmeng 6 Bai, Xueli 6 Ding, Weiyang 6 Han, Jiye 6 He, Hongjin 6 Li, Yuanmin 6 Ling, Chen 6 Shao, Jiayu 6 Wang, Xuezhong 6 Yang, Qingzhi 5 Fan, Jinyan 5 Hao, Binbin 5 Hao, Zijun 5 He, Yiran 5 Liu, Lixia 5 Wei, Deyun 5 Zhang, Xinzhen 5 Zhao, Na 5 Zhao, Ruijuan 5 Zhou, Guanglu 4 Cui, Jingjing 4 Hajarian, Masoud 4 Huang, Zhengge 4 Ke, Yifen 4 Liu, Zhenhua 4 Mangasarian, Olvi L. 4 Saheya, B. 4 Wan, Zhong 4 Wang, Guoqiang 4 Wang, Qingwen 4 Wu, Shiliang 4 Xu, Chengxian 4 Xu, Dachuan 4 Xu, Yangyang 4 Zhang, Xiangsong 4 Zheng, Bing 4 Zheng, Xiuyun 4 Zhou, Anwa 3 Bai, Minru 3 Bai, Yanqin 3 Bozorgmanesh, Hassan 3 Cai, Yun 3 Chang, Yulin 3 Chen, Yannan 3 Fang, Shu-Cherng 3 Gu, Chao 3 Guan, Hongbo 3 He, Jun 3 Hieu, Vu Trung 3 Huang, Shuai 3 Li, Meixia 3 Li, Yiyong 3 Ling, Liyun 3 Liu, Xiangjing 3 Lu, Liyong 3 Luo, ZiYan 3 Ng, Michael Kwok-Po 3 Rui, Shaoping 3 Shang, Kun 3 Sun, Li 3 Sun, Lizhu 3 Tawhid, Mohamed Aly 3 Wang, Ligong 3 Wang, Xingtao 3 Wu, Chenchen 3 Wu, Soon-Yi 3 Xie, Shuilian ...and 526 more Authors
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#### Cited in 107 Serials

 46 Journal of Computational and Applied Mathematics 40 Applied Mathematics and Computation 38 Journal of Optimization Theory and Applications 36 Linear Algebra and its Applications 26 Computational Optimization and Applications 23 Optimization Letters 20 Frontiers of Mathematics in China 19 Journal of Applied Mathematics and Computing 17 Journal of Global Optimization 17 Numerical Algorithms 16 Linear and Multilinear Algebra 16 Computational and Applied Mathematics 14 Journal of Industrial and Management Optimization 12 Optimization 12 Applied Mathematics Letters 10 Science China. Mathematics 9 Journal of Inequalities and Applications 9 Journal of the Operations Research Society of China 7 Journal of Scientific Computing 7 Mathematical Problems in Engineering 7 Optimization Methods & Software 7 Acta Mathematica Sinica. English Series 6 Applied Numerical Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 SIAM Journal on Matrix Analysis and Applications 6 International Journal of Computer Mathematics 5 Operations Research Letters 5 Asia-Pacific Journal of Operational Research 5 Numerical Linear Algebra with Applications 4 Computers & Mathematics with Applications 4 Mathematical Programming. Series A. Series B 4 SIAM Journal on Optimization 4 Nonlinear Analysis. Real World Applications 4 Journal of Systems Science and Complexity 4 Journal of Applied Mathematics 3 Calcolo 3 Information Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Functional Analysis and Optimization 3 Applications of Mathematics 3 Applied Mathematical Modelling 3 European Journal of Operational Research 3 Abstract and Applied Analysis 3 Mathematical Methods of Operations Research 3 Journal of Combinatorial Optimization 2 Bulletin of the Australian Mathematical Society 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Bulletin of the Iranian Mathematical Society 2 Mathematical and Computer Modelling 2 SIAM Journal on Scientific Computing 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 SIAM Journal on Imaging Sciences 2 Numerical Algebra, Control and Optimization 2 Journal of Applied Analysis and Computation 2 Mathematics 2 Journal of Function Spaces 2 Open Mathematics 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Circuits, Systems, and Signal Processing 1 Journal of Symbolic Computation 1 Science in China. Series A 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Algebraic Combinatorics 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 ETNA. Electronic Transactions on Numerical Analysis 1 Complexity 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Mathematical Inequalities & Applications 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Optimization and Engineering 1 International Game Theory Review 1 Nonlinear Functional Analysis and Applications 1 Decisions in Economics and Finance 1 Analysis and Applications (Singapore) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 Acta Numerica 1 Advances in Difference Equations 1 Inverse Problems and Imaging ...and 7 more Serials
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#### Cited in 35 Fields

 368 Operations research, mathematical programming (90-XX) 271 Numerical analysis (65-XX) 211 Linear and multilinear algebra; matrix theory (15-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 29 Combinatorics (05-XX) 16 Operator theory (47-XX) 12 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 9 Algebraic geometry (14-XX) 9 Systems theory; control (93-XX) 8 Nonassociative rings and algebras (17-XX) 8 Mechanics of deformable solids (74-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 4 Real functions (26-XX) 4 Quantum theory (81-XX) 4 Biology and other natural sciences (92-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX)