Edit Profile (opens in new tab) Zhang, Xinzhen Co-Author Distance Author ID: zhang.xinzhen Published as: Zhang, Xinzhen Documents Indexed: 59 Publications since 1993, including 8 Additional arXiv Preprints Co-Authors: 40 Co-Authors with 49 Joint Publications 1,566 Co-Co-Authors all top 5 Co-Authors 0 single-authored 26 Qi, Liqun 8 Chen, Yannan 7 Yu, Quan 6 Ling, Chen 4 Huang, Zheng-Hai 4 Wang, Yiju 3 Cheng, Lulu 3 Liu, B. 3 Nie, Jiawang 2 Guo, Huiyuan 2 Hu, ShengLong 2 Kitipornchai, Sritawat 2 Kosasih, P. B. 2 Li, Li 2 Luo, ZiYan 2 Ni, Guyan 2 Ni, Yuanhua 2 Song, Yisheng 2 Wang, Qingwen 2 Xu, Yanwei 1 Alqahtani, Mohammed S. 1 Bai, Minru 1 Bakshi, Mayank 1 Bomze, Immanuel M. 1 Caccetta, Louis 1 Jiang, Hefeng 1 Liew, Kim Meow 1 Lim, Cheewah 1 Liu, Liping 1 Ma, Fengming 1 Si, Binbin 1 Song, Zhi 1 Ujszaszi, R. S. 1 Veidt, M. 1 Wang, Changyu 1 Wu, Ed Xuekui 1 Xu, Junxia 1 Xu, Yi 1 Xu, Yuwei 1 Yan, Xihong 1 Yang, Zi 1 Ye, Yinyu 1 Yuan, Ya-xiang 1 Zhang, Gang 1 Zhang, Lixia 1 Zhang, Mengshi 1 Zhou, Guanglu 1 Zhou, Guangming 1 Zhu, Lin all top 5 Serials 5 Computational Optimization and Applications 4 Journal of Industrial and Management Optimization 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Global Optimization 3 Numerical Linear Algebra with Applications 3 Pacific Journal of Optimization 2 Applied Mathematics and Computation 2 Journal of Optimization Theory and Applications 2 Annals of Physics 2 SIAM Journal on Optimization 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Mechanical Sciences 1 International Journal of Solids and Structures 1 Mathematics of Computation 1 Automatica 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Optimization 1 Journal of Qufu Normal University. Natural Science 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of Nonlinear and Convex Analysis 1 Communications in Mathematical Sciences 1 Journal of the Operations Research Society of China all top 5 Fields 25 Operations research, mathematical programming (90-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 20 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 5 Quantum theory (81-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 327 times in 264 Documents Cited by ▼ Year ▼ 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 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 Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders. Zbl 1087.74529 Liew, K. M.; Kitipornchai, S.; Zhang, X. Z.; Lim, C. W. 48 2003 A complete semidefinite algorithm for detecting copositive matrices and tensors. Zbl 1406.15026 Nie, Jiawang; Yang, Zi; Zhang, Xinzhen 23 2018 The cubic spherical optimization problems. Zbl 1252.65101 Zhang, Xinzhen; Qi, Liqun; Ye, Yinyu 19 2012 Real eigenvalues of nonsymmetric tensors. Zbl 1397.65057 Nie, Jiawang; Zhang, Xinzhen 18 2018 Fuzzy inference relation based on the theory of falling shadows. Zbl 0791.03012 Tan, S. K.; Wang, P. Z.; Zhang, X. Z. 18 1993 Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004 Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun 17 2016 Test of copositive tensors. Zbl 1463.65141 Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun 13 2019 A smoothing Newton-type method for generalized nonlinear complementarity problem. Zbl 1139.65048 Zhang, Xinzhen; Jiang, Hefeng; Wang, Yiju 12 2008 Positive maps and separable matrices. Zbl 1338.15066 Nie, Jiawang; Zhang, Xinzhen 12 2016 Quaternion matrix optimization: motivation and analysis. Zbl 1527.90227 Qi, Liqun; Luo, Ziyan; Wang, Qing-Wen; Zhang, Xinzhen 12 2022 A Newton-type algorithm for generalized linear complementarity problem over a polyhedral cone. Zbl 1080.65052 Zhang, Xinzhen; Ma, Fengming; Wang, Yiju 10 2005 Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints. Zbl 1237.90180 Zhang, Xinzhen; Ling, Chen; Qi, Liqun 9 2011 Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020 Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen 6 2021 Semidefinite relaxation approximation for multivariate bi-quadratic optimization with quadratic constraints. Zbl 1274.65170 Ling, Chen; Zhang, Xinzhen; Qi, Liqun 6 2012 A smoothing proximal gradient algorithm for matrix rank minimization problem. Zbl 1490.65083 Yu, Quan; Zhang, Xinzhen 5 2022 The measure of diffusion skewness and kurtosis in magnetic resonance imaging. Zbl 1188.90291 Zhang, Xinzhen; Ling, Chen; Qi, Liqun; Wu, Ed Xuekui 4 2010 Standard bi-quadratic optimization problems and unconstrained polynomial reformulations. Zbl 1268.90085 Bomze, Immanuel M.; Ling, Chen; Qi, Liqun; Zhang, Xinzhen 4 2012 A cone constrained convex program: structure and algorithms. Zbl 1277.90094 Qi, Liqun; Xu, Yi; Yuan, Ya-Xiang; Zhang, Xinzhen 4 2013 Unconstrained optimization reformulation of the generalized nonlinear complementarity problem and related method. Zbl 1147.90406 Wang, Yiju; Zhang, Xinzhen; Qi, Liqun 3 2005 Positivity conditions for cubic, quartic and quintic polynomials. Zbl 1517.26011 Qi, Liqun; Song, Yisheng; Zhang, Xinzhen 2 2022 Color image completion using a low-rank quaternion matrix approximation. Zbl 07506667 Chen, Yannan; Qi, Liqun; Zhang, Xinzhen 2 2022 Low rank matrix minimization with a truncated difference of nuclear norm and Frobenius norm regularization. Zbl 07668839 Guo, Huiyuan; Yu, Quan; Zhang, Xinzhen; Cheng, Lulu 2 2023 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 2 2021 Spectral singularity in composite systems and simulation of a resonant lasing cavity. Zbl 1376.81086 Zhang, X. Z.; Li, G. R.; Song, Z. 1 2017 Transient bending of a piezoelectric circular plate. Zbl 1192.74233 Zhang, X. Z.; Veidt, M.; Kitipornchai, S. 1 2004 Calculating entanglement eigenvalues for nonsymmetric quantum pure states based on the Jacobian semidefinite programming relaxation method. Zbl 1410.81010 Zhang, Mengshi; Zhang, Xinzhen; Ni, Guyan 1 2019 Low Tucker rank tensor completion using a symmetric block coordinate descent method. Zbl 07729587 Yu, Quan; Zhang, Xinzhen; Chen, Yannan; Qi, Liqun 1 2023 A semidefinite relaxation method for second-order cone tensor eigenvalue complementarity problems. Zbl 1471.90146 Cheng, Lulu; Zhang, Xinzhen; Ni, Guyan 1 2021 A semidefinite relaxation method for second-order cone polynomial complementarity problems. Zbl 1441.15015 Cheng, Lulu; Zhang, Xinzhen 1 2020 SDP relaxation algorithms for \(\mathbf{P(P}_0)\)-tensor detection. Zbl 1514.90229 Wang, Xiao; Zhang, Xinzhen; Zhou, Guangming 1 2020 Approximation algorithms for nonnegative polynomial optimization problems over unit spheres. Zbl 1391.90669 Zhang, Xinzhen; Zhou, Guanglu; Caccetta, Louis; Alqahtani, Mohammed 1 2017 Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors. Zbl 1469.15030 Qi, Liqun; Hu, Shenglong; Zhang, Xinzhen; Xu, Yanwei 1 2021 Low rank matrix minimization with a truncated difference of nuclear norm and Frobenius norm regularization. Zbl 07668839 Guo, Huiyuan; Yu, Quan; Zhang, Xinzhen; Cheng, Lulu 2 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 Quaternion matrix optimization: motivation and analysis. Zbl 1527.90227 Qi, Liqun; Luo, Ziyan; Wang, Qing-Wen; Zhang, Xinzhen 12 2022 A smoothing proximal gradient algorithm for matrix rank minimization problem. Zbl 1490.65083 Yu, Quan; Zhang, Xinzhen 5 2022 Positivity conditions for cubic, quartic and quintic polynomials. Zbl 1517.26011 Qi, Liqun; Song, Yisheng; Zhang, Xinzhen 2 2022 Color image completion using a low-rank quaternion matrix approximation. Zbl 07506667 Chen, Yannan; Qi, Liqun; Zhang, Xinzhen 2 2022 Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020 Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen 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 2 2021 A semidefinite relaxation method for second-order cone tensor eigenvalue complementarity problems. Zbl 1471.90146 Cheng, Lulu; Zhang, Xinzhen; Ni, Guyan 1 2021 Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors. Zbl 1469.15030 Qi, Liqun; Hu, Shenglong; Zhang, Xinzhen; Xu, Yanwei 1 2021 A semidefinite relaxation method for second-order cone polynomial complementarity problems. Zbl 1441.15015 Cheng, Lulu; Zhang, Xinzhen 1 2020 SDP relaxation algorithms for \(\mathbf{P(P}_0)\)-tensor detection. Zbl 1514.90229 Wang, Xiao; Zhang, Xinzhen; Zhou, Guangming 1 2020 Test of copositive tensors. Zbl 1463.65141 Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun 13 2019 Calculating entanglement eigenvalues for nonsymmetric quantum pure states based on the Jacobian semidefinite programming relaxation method. Zbl 1410.81010 Zhang, Mengshi; Zhang, Xinzhen; Ni, Guyan 1 2019 A complete semidefinite algorithm for detecting copositive matrices and tensors. Zbl 1406.15026 Nie, Jiawang; Yang, Zi; Zhang, Xinzhen 23 2018 Real eigenvalues of nonsymmetric tensors. Zbl 1397.65057 Nie, Jiawang; Zhang, Xinzhen 18 2018 Spectral singularity in composite systems and simulation of a resonant lasing cavity. Zbl 1376.81086 Zhang, X. Z.; Li, G. R.; Song, Z. 1 2017 Approximation algorithms for nonnegative polynomial optimization problems over unit spheres. Zbl 1391.90669 Zhang, Xinzhen; Zhou, Guanglu; Caccetta, Louis; Alqahtani, Mohammed 1 2017 Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. Zbl 1349.15004 Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun 17 2016 Positive maps and separable matrices. Zbl 1338.15066 Nie, Jiawang; Zhang, Xinzhen 12 2016 A cone constrained convex program: structure and algorithms. Zbl 1277.90094 Qi, Liqun; Xu, Yi; Yuan, Ya-Xiang; Zhang, Xinzhen 4 2013 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 The cubic spherical optimization problems. Zbl 1252.65101 Zhang, Xinzhen; Qi, Liqun; Ye, Yinyu 19 2012 Semidefinite relaxation approximation for multivariate bi-quadratic optimization with quadratic constraints. Zbl 1274.65170 Ling, Chen; Zhang, Xinzhen; Qi, Liqun 6 2012 Standard bi-quadratic optimization problems and unconstrained polynomial reformulations. Zbl 1268.90085 Bomze, Immanuel M.; Ling, Chen; Qi, Liqun; Zhang, Xinzhen 4 2012 Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints. Zbl 1237.90180 Zhang, Xinzhen; Ling, Chen; Qi, Liqun 9 2011 The measure of diffusion skewness and kurtosis in magnetic resonance imaging. Zbl 1188.90291 Zhang, Xinzhen; Ling, Chen; Qi, Liqun; Wu, Ed Xuekui 4 2010 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 A smoothing Newton-type method for generalized nonlinear complementarity problem. Zbl 1139.65048 Zhang, Xinzhen; Jiang, Hefeng; Wang, Yiju 12 2008 A Newton-type algorithm for generalized linear complementarity problem over a polyhedral cone. Zbl 1080.65052 Zhang, Xinzhen; Ma, Fengming; Wang, Yiju 10 2005 Unconstrained optimization reformulation of the generalized nonlinear complementarity problem and related method. Zbl 1147.90406 Wang, Yiju; Zhang, Xinzhen; Qi, Liqun 3 2005 Transient bending of a piezoelectric circular plate. Zbl 1192.74233 Zhang, X. Z.; Veidt, M.; Kitipornchai, S. 1 2004 Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders. Zbl 1087.74529 Liew, K. M.; Kitipornchai, S.; Zhang, X. Z.; Lim, C. W. 48 2003 Fuzzy inference relation based on the theory of falling shadows. Zbl 0791.03012 Tan, S. K.; Wang, P. Z.; Zhang, X. Z. 18 1993 all cited Publications top 5 cited Publications all top 5 Cited by 358 Authors 29 Qi, Liqun 24 Wang, Yiju 20 Chen, Haibin 20 Zhang, Xinzhen 14 Li, Chaoqian 14 Li, Yaotang 13 Zhou, Guanglu 11 Huang, Zheng-Hai 11 Nie, Jiawang 10 Che, Haitao 8 Hu, ShengLong 8 Li, Zhening 8 Ni, Guyan 8 Yang, Yuning 7 Song, Yisheng 7 Sun, Hongchun 6 He, Jun 6 Ling, Chen 6 Ma, Changfeng 6 Yang, Qingzhi 6 Zhao, Jianxing 5 Jiang, Bo 5 Liu, Yanmin 5 Wang, Chunyan 5 Xu, Guangjun 4 Caccetta, Louis 4 Ferreira, Orizon Pereira 4 He, Hongjin 4 He, Simai 4 Li, Meixia 4 Németh, Sándor Zoltán 4 Sang, Caili 4 Yan, Hong 3 Chen, Yannan 3 Huang, Riguang 3 Li, Suhua 3 Liu, Qilong 3 Sheng, Zhou 3 Song, Xiaoyu 3 Tang, Xindong 3 Wang, Gang 3 Wang, Qingwen 3 Wang, Xueyong 3 Wei, Yimin 3 Xu, Yanwei 3 Xu, Yi 3 Yang, Zi 3 Zhang, Mengshi 3 Zhang, Shuzhong 3 Zheng, Baodong 2 Benson, Austin R. 2 Bernardi, Alessandra 2 Bozorgmanesh, Hassan 2 Bu, Changjiang 2 Carmon, Yair 2 Cartis, Coralia 2 Chen, Bilian 2 Chen, Zhen 2 Cheng, Lulu 2 Dong, Manman 2 Duchi, John C. 2 Fan, Jinyan 2 Friedland, Shmuel 2 Fu, Taoran 2 Gleich, David F. 2 Goldfarb, Donald 2 Gould, Nicholas Ian Mark 2 Hajarian, Masoud 2 Han, Deren 2 Hildebrand, Roland 2 Hinder, Oliver 2 Hsu, Daniel 2 Huang, Baohua 2 Huang, Lei 2 Ke, Yifen 2 Kyrchei, Ivan I. 2 Li, Guoyin 2 Li, Li 2 Li, Shengjie 2 Li, Wen 2 Li, Xia 2 Liang, Chang 2 Liu, Lixia 2 Liu, Longsheng 2 Liu, Sanyang 2 Liu, Xin 2 Mosić, Dijana 2 Mu, Cun 2 Ni, Qin 2 Oneto, Alessandro 2 Seigal, Anna Leah 2 Shi, Jiarong 2 Shitov, Yaroslav Nikolaevich 2 Sidford, Aaron 2 Stanimirović, Predrag S. 2 Sun, Min 2 Toint, Philippe Louis 2 Wen, Zaiwen 2 Wu, Fengsheng 2 Xiao, Lianghai ...and 258 more Authors all top 5 Cited in 71 Serials 21 Journal of Industrial and Management Optimization 17 Journal of Optimization Theory and Applications 16 SIAM Journal on Matrix Analysis and Applications 14 Computational Optimization and Applications 14 Frontiers of Mathematics in China 13 Linear Algebra and its Applications 11 Journal of Global Optimization 9 Journal of Computational and Applied Mathematics 9 Applied Mathematics Letters 8 Linear and Multilinear Algebra 8 Applied Mathematics and Computation 8 Journal of Inequalities and Applications 7 SIAM Journal on Optimization 6 Journal of Scientific Computing 5 Numerical Linear Algebra with Applications 5 Computational and Applied Mathematics 4 Asia-Pacific Journal of Operational Research 4 Mathematical Programming. Series A. Series B 4 Journal of the Operations Research Society of China 3 Calcolo 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Journal of Symbolic Computation 3 Numerical Algorithms 3 Mathematical Problems in Engineering 3 SIAM Journal on Applied Algebra and Geometry 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematics of Operations Research 2 Japan Journal of Industrial and Applied Mathematics 2 Advances in Applied Clifford Algebras 2 Abstract and Applied Analysis 2 Optimization Methods & Software 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Applied Mathematics and Computing 2 Optimization Letters 2 Science China. Mathematics 2 Mathematics 2 Mathematical Foundations of Computing 2 Communications on Applied Mathematics and Computation 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 The Annals of Probability 1 Numerische Mathematik 1 Results in Mathematics 1 Mathematica Numerica Sinica 1 Optimization 1 Journal of Complexity 1 Information and Computation 1 Annals of Operations Research 1 International Journal of Computer Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Top 1 INFORMS Journal on Computing 1 CEJOR. Central European Journal of Operations Research 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Fixed Point Theory and Applications 1 Numerical Mathematics: Theory, Methods and Applications 1 Set-Valued and Variational Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Numerical Algebra, Control and Optimization 1 Journal of Applied Analysis and Computation 1 Forum of Mathematics, Sigma 1 SIAM Journal on Mathematics of Data Science 1 Frontiers of Mathematics all top 5 Cited in 30 Fields 178 Linear and multilinear algebra; matrix theory (15-XX) 121 Operations research, mathematical programming (90-XX) 105 Numerical analysis (65-XX) 18 Quantum theory (81-XX) 17 Computer science (68-XX) 14 Algebraic geometry (14-XX) 11 Mechanics of deformable solids (74-XX) 9 Operator theory (47-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Differential geometry (53-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year