Welcome to Wang QingWen's Homepage
Email: wqw@shu.edu.cn Tel: +862166135655 Office: F521 Corresponding
Address: 

（The left is Professor Efim Isaakovich Zelmanov, Fields Medal winner）
Teaching Courses
Bachelor Degree Courses
1. Higher
algebra
2. Linear
algebra 
3. Probability theory 4. Matrix and tensor 5. Abstract algebra 
6.
The
explorations and discoveries of mathematics

Master Degree Courses 1. Matrix theory 2. Higher matrix algebra 3. Representation of groups and algebras 4. Commutative algebra 5. Classical groups 6. Lie groups 7. Matrix equations PhD Degree Courses 8. Algebra 9. Matrix analysis 10.Quantum computing 

Graduated
PhD Students
1. Yu Shaowen 2. Chang Haixia 3. Zhang Huasheng 4. Zhang Qin 5. Wu Zhongcheng 6. Song Guangjing 7. Dong Changzhou 8. Bao Yubao 
9. Israr Ali Khan 10. Jiang Jing 11. Zhang Xiang 12. Yu Guihai 13. Wang Li 14. Liu Xin 15. Lin Yong 16. Yu Juan 
17. Abdur Rehman 18. He Zhuoheng 19. Li Lei 20. Huang Shaowu 21. Nie Xiangrong 22. Liu Juntong 23. Xu Xiangjian 24. Adda Farouk 
25. Li Tao 26. Zhang Xinfang 27. Xie Mengya 28. Liu Longsheng 29. Mahmoud Saad Menany 30. Ikram Ouziala 
Graduated
Master Students
1. Yu Shaowen 2. Chang Haixia 3. Qin Feng 4. Wu Huayu 5. Wu Zhongcheng 6. Song Guangjing 7. Zhang Fei 8. Li Chengkun 9. Zhou Yan 10. Ding Yuhan 11. Ren Xingwei 12. Liu Xin 13. Nie Xiangrong 14. Yan Shujun 15. Di Meijing 
16. Zheng Junqing 17. Zhu Hongyi 18. Zhang Xia 19. Hu Renjie 20. He Zhuoheng 21. Chen Di 22. Guan Yu 23. Xu Huan 24. Ding Xiufang 25. Wang Ziwen 26. Deng Zhaohua 27. Li Jing 28. Shi Zhiwei 29. Qin Yangyang 30. Xu Jinwei 
31. Yang Xiaoxiao 32. He Zhentao 33. Li Jie 34. Li Yijun 35. Sun Fangfang 36. Xie Mengyan 37. Deng Ye 38. Liu Jialing 39. Kuai Ligang 40. Wang Huihui 41. Wu Yiling 42. Wu Huayu 43. Kang Simo 44. Lv Ruyuan 45. Wang Xiangxiang 
46. Wang Xiao 47. Zhang Chongquan 48. Xie Lvming 49. Meng Qun 50. Yuan Weijie 51. Wang Ruonan 52. Xu Yangfan 53. Chen Xueying 54. Chen Jiangfeng 55. Xu Xile 56. Qin Jing 57. Zhang Yue 58. Si Kaiwen 59. Chen Yan 
Postdocts: 1. Duan Xuefeng 2. Zhang Jiao 3. Sun Jiangcai 4. Yuan Shifang 5. Tong Zhaojia 6. Wang Yuchao 7. Song Caiqin 8. Peng Jingjing 9. Zhou Duanmei 10. Zhu Huihui 11. Zhao Ruju 12. Zeng Wenlong 13. Huang Zhengge 14. Tang Fuying
1. Prof. Ning Qun (Suzhou University) 2. Prof. Lian Dezhong (Longyan University, Fujian) 3. Prof. Zhang Xiang (Guizhou Normal University) 

4. Professor Edgar Pereira (University of Beira Interior, 6200001 Covilha, Portugal)
5. Professor Özlem Esen (Anadolu University, Yunusemre Kampusu, Turkey)
Current PhD Students 1. Zhang Chongquan 2. Xie Lvming 3. Duan Shanqi 4. Aqsa Khalid 5. Chen Jiangfeng 6. Gao Zihan 7. Gao Jiale Current Master Students

Selected Published Books 1. Linear Algebra (2nd Edition), Higher Education Press, Beijing, 2022. 2. Linear Algebra, Higher Press, Beijing, 2012. 3. An Instructor of Linear Algebra, Higher Press, Beijing, 2016. 4. The key ideas of linear algebra with applications, Scientific Press, Beijing, 2012. 

Teaching Award
1. Forty years of relentless exploration: University mathematics “triple innovation” teaching reform and practice based on the thought of Educational Mathematics (The Second prize of National Outstanding Teaching Achievement Award 2023)
2. Linear Algebra (The first batch of Shanghai Municipal Exemplary Undergraduate Classrooms 2023)
3. Making being easy for teaching and learning mathematics——The creation and practice of educational mathematics (The first prize of Shanghai Municipal Outstanding Teaching Achievement Award 2022)
4. Building an Overpass of Cultivating Mathematics Literacy in Universities and Middle Schools Based on the Mathematics Practice Station (The first prize of Shanghai Municipal Outstanding Teaching Achievement Award 2018)
5. Adhere to the teaching reform and innovation of mathematics basic courses to make college students to independently discovery and explore knowledge (The first prize of Shanghai Municipal Outstanding Teaching Achievement Award 2014)
Research
Current Research Interests
（2023）
Selected Published Books (2010Present)
（2013）
Selected Published Papers (2002Present)
1. T. Li, Q.W. Wang, Structure Preserving Quaternion Biconjugate Gradient Method, SIAM J. Matrix Anal. Appl., 45 (1) (2024) 306326. DOI: 10.1137/23M1547299.
2. K.W. Si, Q.W. Wang, L.M. Xie, A Classical System of Matrix Equations Over the Split Quaternion Algebra, Adv. Appl. Clifford Algebr., 34 (51) (2024). DOI: 10.1007/s00006024013485.
3. C.F. Cui, L.Q. Qi, G.J. Song, Q.W. Wang, Moore determinant of dual quaternion Hermitian matrices, Comp. Appl. Math., 43 (365) (2024). DOI: 10.1007/s40314024028843.
4. Z.H. Gao, Q.W. Wang, L. Xie, The (anti) ηHermitian solution to a novel system of matrix equations over the split quaternion algebra, Math. Meth. Appl. Sci., (2024) 118, DOI: 10.1002/mma.10245.
5. M.Y. Xie, Q.W. Wang, Y. Zhang, The BiCG Algorithm for Solving the Minimal Frobenius Norm Solution of Generalized Sylvester Tensor Equation over the Quaternions, Symmetry, 16 (2024) 1167. DOI: 10.3390/sym16091167.
6. C.Q. Zhang, Q.W. Wang, A. Dmytryshyn, Z.H. He, Investigation of some Sylvestertype quaternion matrix equations with multiple unknowns, Comp.Appl.Math., 43(4)(2024)124. DOI:10.1007/s40314024027066.
7. M.S. Mehany, Q.W. Mehany, L.S. Liu, A System of Sylvesterlike Quaternion Tensor Equations with an Application. Front. Math., (2024) 120. DOI: 10.1007/s1146402103898.
8. C.Q. Zhang, Q.W. Wang, X.X. Wang, Z.H. He, Restricted Singular Value Decomposition for a Tensor Triplet under TProduct and Its Applications, Mathematics, 12 (7) (2024) 982. DOI: 10.3390/math12070982.
9. K.W. Si, Q.W. Wang, The General Solution to a Classical Matrix Equation AXB=C over the Dual Split Quaternion Algebra, Symmetry, 16 (4) (2024) 491. DOI: 10.3390/sym16040491.
10. Y. Chen, Q.W. Wang, L.M. Xie, Dual Quaternion Matrix Equation AXB=C with Applications, Symmetry, 16 (3) (2024) 287. DOI: 10.3390/sym16030287.
11. Y. Zhang, Q.W. Wang, L.M. Xie, The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations, Symmetry, 16 (3) (2024) 361. DOI: 10.3390/sym16030361.
12. S.W. Huang, Q.W. Wang, New properties of a special matrix related to positivedefinite matrices, Electron. J. Linear Algebra, 40 (2024) 172176. DOI: 10.13001/ela.2024.8165.
13. X.F. Duan, Y.S. Zhang, Q.W. Wang, C.M. Li, Paige’s Algorithm for solving a class of tensor least squares problem, BIT, 63 (4) (2023) 48. DOI: 10.1007/s1054302300990y.
14. X.F Duan, Y.S. Zhang, Q.W. Wang, An efficient iterative method for solving a class of constrained tensor least squares problem, Appl. Numer. Math., 196 (2024) 104117. DOI: 10.1016/j.apnum.2023.10.008.
15. H.H. Zhu, C.C. Wang, Q.W. Wang, Left wCore Inverses in Rings with Involution, Mediterr. J. Math., 20 (6) (2023) 337. DOI: 10.1007/s00009023025419.
16. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Generalized smooth mutual maxinformation of quantum channel. Quantum Inf. Process., 22 (6) (2023) 240. DOI: 10.1007/s11128023039952.
17. J. Qin, Q.W. Wang, Solving a system of twosided Sylvesterlike quaternion tensor equations. Comput. Appl. Math., 42 (5) (2023) 232. DOI: 10.1007/s4031402302349z.
18. X.Y. Chen, Q.W. Wang, The η(anti)Hermitian solution to a constrained Sylvestertype generalized commutative quaternion matrix equation, Banach J. Math. Anal., 17 (40) (2023). DOI: 10.1007/s43037023002625.
19. X.L. Xu, Q.W. Wang, The consistency and the general common solution to some quaternion matrix equations, Ann. Funct. Anal., 14 (3) (2023). DOI: 10.1007/s4303402300276y.
20. B.Y. Ren, Q.W. Wang, X.Y. Chen, The ηantiHermitian solution to a system of constrained matrix equations over the generalized Segre quaternion algebra, Symmetry, 15 (2023) 592. DOI: 10.3390/sym15030592.
21. T. Li, Q.W. Wang, Structure preserving quaternion full orthogonalization method with applications, Numer. Linear Algebra Appl., 30: e2495 (2023). DOI: 10.1002/nla.2495.
22. L.M. Xie, Q.W. Wang, A system of matrix equations over the commutative quaternion ring, Filomat, 37 (1) (2023) 97106. DOI: 10.2298/FIL2301097X.
23. J.F. Chen, Q.W. Wang, G.J. Song, T. Li, Quaternion matrix factorization for lowrank quaternion matrix completion, Mathematics, 11 (9) (2023) 2144. DOI: 10.3390/math11092144.
24. W.W. Li, H. Xin, Q.W. Wang, The canonical forms of permutation matrices, Symmetry, 15 (2) (2023). DOI: 10.3390/sym15020332.
25. L.S. Liu, Q.W. Wang, J.F. Chen, Y.Z. Xie, An exact solution to a quaternion matrix equation with an application, Symmetry, 14 (2) (2022). DOI: 10.3390/sym14020375.
26. S. Dong, Q.W. Wang, L. Hou, Determinantal inequalities for block Hadamard product and KhatriRao product of positive definite matrices, Mathematics, 7 (6) (2022). DOI: 10.3390/math2022536.
27. A. Farouk, Q.W. Wang, Construction of new Hadamard matrices using known Hadamard matrices, Filomat, 36 (6) (2022). 20252042. DOI: 10.2298/FIL2206025F.
28. M.Y. Xie, Q.W. Wang, Z.H. He, Mahmoud S. Mehany, A System of Sylvestertype Quaternion Matrix Equations with Ten Variables, Acta Mathematica SinicaEnglish Series, 38 (8) (2022). 13991420 DOI: 10.1007/s1011402290401.
29. M.Y. Xie, Q.W. Wang, Y. Zhang, The MinimumNorm Least Squares Solutions to Quaternion Tensor Systems, Symmetry, 14 (7) (2022). DOI: 10.3390/sym14071460.
30. Y.F. Xu, Q.W. Wang, L.S. Liu, Mahmoud S. Mehany, A constrained system of matrix equations, Comp. Appl. Math., 41 (4) (2022). DOI: 10.1007/s40314022018738.
31. T. Li, Q.W. Wang, X.F. Zhang, A Modified Conjugate Residual Method and Nearest Kronecker Product Preconditioner for the Generalized Coupled Sylvester Tensor Equations, Mathematics, 10 (10) (2022). DOI: 10.3390/math10101730.
32. L.S. Liu, Q.W. Wang, Mahmoud S. Mehany, A SylvesterType Matrix Equation over the Hamilton Quaternions with an Application, Mathematics, 10 (10) (2022). DOI: 10.3390/math10101758.
33. R.N. Wang, Q.W. Wang, L.S. Liu, Solving a System of Sylvesterlike Quaternion Matrix Equations, Symmetry, 14 (5) (2022). DOI: 10.3390/sym14051056.
34. Mahmoud S. Mehany, Q.W. Wang, Three Symmetrical Systems of Coupled Sylvesterlike Quaternion Matrix Equations, Symmetry, 14 (3) (2022). DOI: 10.3390/sym14030550.
35. X.F. Zhang, Q.W. Wang, On RGI Algorithms for Solving Sylvester Tensor Equations, Taiwanese J. Math., 26 (3) (2022) 501519. DOI: 10.11650/tjm/220103.
36. W.J. Yuan, Q.W. Wang, The Common Solution of Twelve Matrix Equations over the Quaternions, Filomat, 36 (3) (2022) 887903. DOI: 10.2298/FIL2203887Y.
37. T. Li, Q.W. Wang, X.F. Zhang, Gradient based iterative methods for solving symmetric tensor equations, Numer. Linear Algebra Appl., 29 (2) (2022). DOI: 10.1002/nla.2414.
38. D.M. Zhou, X.X. Ye, Q.W. Wang, J.W. Ding, W.Y. Hu, Explicit Solutions of the YangBaxterLike Matrix Equation for a Singular Diagonalizable Matrix With Three Distinct Eigenvalues, Filomat, 35 (12) (2021) 39713982. DOI: 10.2298/FIL2112971Z.
39. Q.W. Wang, X.J. Xu, X.F. Duan, Least squares solution of the quaternion Sylvester tensor equation, Linear Multilinear Algebra, 69 (1) (2021) 104130.
40. H.H. Zhu, L.Y. Wu, Q.W. Wang, Suitable elements, *clean elements and Sylvester equations in rings with involution, Commun. Algebra, (2021). DOI: 10.1080/00927872.2021.1985129.
41. D. CvetkovicIlic, Q.W. Wang, Y.M. Wei, Different completions of A+CX, J. Spectr. Theor., 11 (3) (2021) 905914. DOI: 10.4171/JST/356.
42. H.H. Zhu, Q.W. Wang, Weighted MoorePenrose inverses and weighted core inverses in rings with Involution, Chinese Ann. Math. Ser. B, 42 (4) (2021). 613624.
43. X.F. Zhang, Q.W. Wang, Developing iterative algorithms to solve Sylvester tensor equations, Appl. Math. Comput., 409 (2021) 126403.
44. L.Q. Qi, Z.Y. Luo, Q.W. Wang, Quaternion matrix optimization: motivation and analysis, J. Optim. Theory Appl., (2021). DOI: 10.1007/s1095702101906y
45. X.J. Xu, Q.W. Wang, On the solutions of a class of tensor equations, Linear Multilinear Algebra, 70 (21) (2022) 61416154. DOI: 10.1080/03081087.2021.1948492.
46. D. S. CvetkovićIlić, J. N. Radenković, Q.W. Wang, Algebraic conditions for the solvability to some systems of matrix equations, Linear Multilinear Algebra, 69 (9) (2021) 15791609. DOI: 10.1080/03081087.2019.1633993.
47. X.F. Duan, S.Q. Duan, J. Li, J.f. Li, Q.W. Wang, An efficient algorithm for solving the nonnegative tensor least squares problem, Numer. Linear Algebra Appl., (2021). DOI: 10.1002/nla.2385.
48. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Quantum coherence measures based on Fisher information with applications, Phys. Rev. A, 103 (1) (2021). DOI: 10.1103/PhysRevA.103.012401.
49. T. Li, Q.W. Wang, X.F. Zhang, Hermitian and skewHermitian splitting methods for solving a tensor equation, Int. J. Comput. Math., 98 (6) (2021) 12741290.
50. S. Dong, Q.W. Wang, More generalizations of Hartfiel's inequality and the BrunnMinkowski inequality, Bull. Iranian Math. Soc., 47 (1) (2021) 2129.
51. X.F. Duan, J. Li, S.Q. Duan, Q.W. Wang, Numerical method for the generalized nonnegative tensor factorization problem, Numer. Algorithms, 87 (2) (2021) 499510.
52. Q.W. Wang, X. Wang, A system of coupled twosided Sylvestertype tensor equations over the quaternion algebra, Taiwanese J. Math., 24 (6) (2020) 13991416.
53. Q.W. Wang, X. Wang, Y. Zhang, A constraint system of coupled twosided Sylvesterlike quaternion tensor equations, Comput. Appl. Math., 39 (4) (2020). DOI: 10.1007/s4031402001370w.
54. M. Xie, Q.W. Wang, Reducible solution to a quaternion tensor equation, Front. Math. China, 15 (5) (2020) 10471070.
55. Q.W. Wang, R.Y. Lv, Y. Zhang, The leastsquares solution with the least norm to a system of tensor equations over the quaternion algebra, Linear Multilinear Algebra, 70 (10) (2022) 19421962. DOI: 10.1080/03081087.2020.1779172.
56. X.F. Zhang, Q.W. Wang, T. Li, The accelerated overrelaxation splitting method for solving symmetric tensor equations, Comput. Appl. Math., 39 (3) (2020). DOI: 10.1007/s4031402001182y.
57. T. Li, Q.W. Wang, X.F. Duan, Numerical algorithms for solving discrete Lyapunov tensor equation, J. Comput. Appl. Math., 370 (2020) DOI: 10.1016/j.cam.2019.112676.
58. Q.W. Wang, X.X. Wang, Arnoldi method for large quaternion right eigenvalue problem, J. Sci. Comput., 82 (3) (2020) DOI: 10.1007/s10915020011584.
59. D. CvetkovicIlic, Q.W. Wang, Q. Xu, Douglas' plus Sebestyen's lemmas = a tool for solving an operator equation problem, J. Math. Anal. Appl., 482 (2) (2020). DOI: 10.1016/j.jmaa.2019.123599.
60. C. Song, Q.W. Wang, Modified CGLS iterative algorithm for solving the generalized Sylvesterconjugate matrix equation, Filomat, 34 (4) (2020) 13291346.
61. A. Farouk, Q.W. Wang, An infinite family of Hadamard matrices constructed from Paley type matrices, Filomat, 34 (3) (2020) 815834.
62. Z. Chen, L. Cao, Q.W. Wang, The extreme points of certain polytopes of doubly substochastic matrices, Linear Multilinear Algebra, 68 (10) (2020) 19561971.
63. H.H. Zhu, Q.W. Wang, Weighted pseudo core inverses in rings, Linear Multilinear Algebra, 68 (12) (2020) 24342447.
64. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Coherence measures based on coherence eigenvalue and their applications, Quantum Inf. Process., 18 (11) (2019) DOI: 10.1007/s1112801924619.
65. X. Liu, Q.W. Wang, Y. Zhang, Consistency of quaternion matrix equations AX*XB=C and XAX*B=C*, Electron. J. Linear Algebra, 35 (2019) 394407.
66. L. Li, S.Q. Shen, M. Li, Q.W. Wang, Connection of coherence measure and unitary evolutions, Quantum Inf. Process., 18 (6) (2019). DOI: 10.1007/s1112801923048.
67. X.J. Xu, Q.W. Wang, Extending BiCG and BiCR methods to solve the Stein tensor equation, Comput. Math. Appl., 77 (12) (2019) 31173127.
68. L. Li, Y. N. Chen, M. Li, Q.W. Wang, L.Q. Qi, Computing the maximal violation of Bell inequalities for multipartite qubit via partially symmetric tensor, Int.J. Theor. Phys., 58 (4) (2019) 11611171.
69. Q.W. Wang, Z.H. He, Y. Zhang, Constrained twosided coupled Sylvestertype quaternion matrix equations, Automatica, 101 (2019) 207213.
70. Z.H. He, Q.W. Wang, Y. Zhang, A simultaneous decomposition for seven matrices with application, J. Comput. Appl. Math., 349 (2019) 93113.
71. Q.W. Wang, X.J. Xu, Iterative algorithms for solving some tensor equations, Linear Multilinear Algebra, 67 (7) (2019) 13251349.
72. C.M. Li, X.F. Duan, L.Z. Lu, Q.W. Wang, S.Q. Shen, Iterative algorithm for solving a class of convex feasibility problem, J. Comput. Appl. Math., 352 (2019) 352367.
73. Q.W. Wang, X.X. Yang, S.F. Yuan, The least square solution with the least norm to a system of quaternion matrix equations, Iran J. Sci. Technol. Trans. Sci., 42 (2018) 13171325.
74. Z.H. He, Q.W. Wang, Y. Zhang, The complete equivalence canonical form of four matrices over an arbitrary division ring, Linear Multilinear Algebra, 66 (1) (2018) 7495.
75. Z.H. He, Q.W. Wang, Y. Zhang, A system of quaternary coupled Sylvestertype real quaternion matrix equations, Automatica, 87 (2018) 2531.
76. F.O. Farid, X.R. Nie, Q.W. Wang, On the solutions of two systems of quaternion matrix equations, Linear Multilinear Algebra, 66 (12) (2018) 23552388.
77. S.W. Huang, Q.W. Wang, Y. Zhang, Equivalence on some Rotfel’d type theorems, Linear Multilinear Algebra, 66 (8) (2018) 16261632.
78. G.J. Song, Q.W. Wang, S.W. Yu, Cramer’s rule for a system of quaternion matrix equations with application, Appl. Math. Comput., 336 (2018) 490499.
79. S.W. Huang, C.K. Li, Y.T. Poon, Q.W. Wang, Inequalities on generalized matrix functions, Linear Multilinear Algebra, 65 (10) (2017) 19471961.
80. J.T. Liu, Y.T. Poon, Q.W. Wang, A generalized Hölder type eigenvalue inequality, Linear Multilinear Algebra, 65 (10) (2017) 21452151.
81. A. Rehman, Q.W. Wang, I. Ali, M. Akram, M. O. Ahmad, A constraint system of generalized Sylvester quaternion matrix equations, Advances in Appl. Clifford Algebras, 27(4) (2017) 31833196.
82. J.T. Liu, Q.W. Wang, F.F. Sun, On Hayajneh and Kittaneh’s Conjecture on unitary invariant norm, J. Math. Inequal., 11 (4) (2017) 10191022.
83. S.F. Yuan, Q.W. Wang, Y.B. Yu, Y. Tian, On Hermitian solutions of the split quaternion matrix equation AXB+CXD=E, Advances in Appl. Clifford Algebras, 27 (4) (2017) 32353252.
84. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Quantummemoryassisted entropic uncertainty relations under weak measurements, Quantum Inf. Process., 16 (2017) 188.
85. J.T. Liu, Q.W. Wang, L. Li, Uncertainty relation on generalized skew information with a monotone pair, Int. J. Theor. Phys., 56 (2017) 24232432.
86. S.W. Huang, Q.W. Wang, A note on Rotfel’d Theorem in a sector, Linear Multilinear Algebra, 65(8) (2017)1655166.
87. J.T. Liu, Q.W. Wang, F.F. Sun, Determinant inequalities involving Hadamard product of positive definite matrices, Math. Inequal. Appl., 20 (2) (2017) 537542.
88. X.R. Nie, Q.W. Wang, Y. Zhang, A system of matrix equations over the quaternion algebra with applications, Algebra Colloq., 24 (2) (2017) 233253.
89. X. Liu, Q.W. Wang, The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation, Math. Problems Engin., 2017, Article ID 9756035.
90. Z.H. He, Q.W. Wang, Y. Zhang, Simultaneous decomposition of quaternion matrices involving ηHermicity with applications, Appl. Math. Comput., 298 (2017) 1335.
91. Z.H. He, Q.W. Wang, A System of periodic discretetime coupled Sylvester quaternion matrix equations, Algebra Colloq., 24 (1) (2017) 169180.
92. Q.W. Wang, A. Rehman, Z.H. He, Y. Zhang, Constraint generalized Sylvester matrix equations, Automatica, 69 (2016) 6064.
93. Z.H. He, O. M. Agudelo, Q.W. Wang, B.D. Moor, Twosided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices, Linear Algebra Appl., 496 (2016) 549593.
94. F.O. Farid, Z.H. He, Q.W. Wang, The consistency and the exact solutions to a system of matrix equations, Linear Multilinear Algebra, 64 (11) (2016) 21332158.
95. S.F. Yuan, Q.W. Wang, Lstructured quaternion matrices and quaternion linear matrix equations, Linear Multilinear Algebra, 64 (2) (2016) 321339.
96. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Geometric measure of quantum discord with weak measurements, Quantum Inf. Process., 15 (1) (2016) 291300.
97. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Measurementinduced nonlocality based on WignerYanase skew information, EPL, 114 (2016) 10007.
98. L. Wang, Q.W. Wang, Z.H. He, The Common Solution of Some Matrix Equations, Algebra Colloq., 23 (1) (2016) 7181.
99. L.J. Huang, Q.W. Wang, Y. Zhang, The MoorePenrose inverses of matrices over quaternion polynomial rings, Linear Algebra Appl., 475 (2015) 4561.
100. Z.H. He, Q.W. Wang, The general solutions to some systems of matrix equations, Linear Multilinear Algebra, 63 (10) (2015) 20172032.
101. A. Rehman, Q.W. Wang, Z. H. He, Solution to a system of real quaternion matrix equations encompassing ηHermicity, Appl. Math. Comput., 265 (2015) 945957.
102. Q.W. Wang, Z.H. He, Systems of coupled generalized Sylvester matrix equations, Automatica, 50 (2014) 28402844.
103. X.F. Duan, Q.W. Wang, C.M. Li, Positive definite solution of a class of nonlinear matrix equation, Linear Multilinear Algebra, 62 (6) (2014) 839852.
104. S.F. Yuan, Q.W. Wang, Z.P. Xiong, The least squares etaHermitian problems of quaternion matrix equation, Filomat, 28 (6) (2014) 11531165.
105. G.H. Yu, L.H. Li, Q.W. Wang, The minimal positive index of inertia of signed unicyclic graphs, Ars Comb., 117 (2014) 245255.
106. G.J. Song, Q.W. Wang, On the weighted leastsquares, the ordinary leastsquares and the best linear unbiased estimators under a restricted growth curve model, Statistical Papers, 55 (2014) 375392.
107. Z.H. He, Q.W. Wang, The ηbihermitian solution to a system of real quaternion matrix equations, Linear Multilinear Algebra, 62 (11) (2014) 15091528.
108. Q.W. Wang, X. Zhang, Y. Zhang, Algorithms for finding the roots of some quadratic octonion equations, Commun. Algebra, 42 (2014) 32673282.
109. J. Zhang, Q.W. Wang, An explicit formula for the generalized cyclic shuffle map, Canad. Math. Bull., 57 (1) (2014) 210223.
110. X.F. Duan, J.F. Li, Q.W. Wang, X.J. Zhang, Low rank approximation of the symmetric positive semidefinite matrix, J. Comput. Appl. Math., 260 (2014) 236243.
111. J. Yu, Q.W. Wang, C.Z. Dong, (Anti)Hamiltonian solution to a system of matrix equations, Math. Problems in Engin., 2014 (2014).
112. Y. Lin, Q.W. Wang, Generalized reflexive and generalized antireflexive solutions to a system of matrix equations, J. Appl. Math., 2014 (2014).
113. Q.W. Wang, Z.H. He, Solvability conditions and general solution for mixed Sylvester equations, Automatica, 49 (2013) 27132719.
114. X. Liu, Q.W. Wang, Equality of the BLUPs under the mixed linear model when random components and errors are correlated, J. Multi. Anal., 116 (2013) 297309.
115. Q.W. Wang, X. Liu, The equalities of BLUPs for linear combinations under two general linear mixed models, Commun. Stati. Theor. Methods, 42 (2013) 35283543.
116. F. O. Farid, Israr Ali Khan, Q.W. Wang, On matrices over an arbitrary semiring and their generalized inverses, Linear Algebra Appl., 439 (2013) 20852105.
117. S.F. Yuan, Q.W. Wang, Z.P. Xiong, Linear parameterized inverse eigenvalue problem of bisymmetric matrices, Linear Algebra Appl., 439 (2013) 19902007.
118. G.H. Yu, L.H. Feng, Q.W. Wang, Bicyclic graphs with small positive index of inertia, Linear Algebra Appl., 438 (5) (2013) 20362045.
119. X.F. Duan, Q.W. Wang, J.F. Li, On the Lowrank approximation arising in the generalized karhunenloeve transform, Abstract Appl. Anal., (2013).
120. Z.H. He, Q.W. Wang, A real quaternion matrix equation with applications, Linear Multilinear Algebra, 61 (6) (2013) 725740.
121. Y. Lin, Q.W. Wang, Iterative solution to a system of matrix equations, Abstract Appl. Anal., 2013 (2013) DOI: 10.1155/2013/124979.
122. Q.W. Wang, Z.H. He, A system of matrix equations and its applications, Sci. China Math., 56 (9) (2013) 17951820.
123. N. Li, Q.W. Wang, Iterative algorithm for solving a class of quaternion matrix equation over the generalized (P,Q)reflexive matrices, Abstract Appl. Anal., 2013 (2013). DOI: 10.1155/2013/831656.
124. Q.W. Wang, J. Yu, On the generalized bi (skew) symmetric solutions of a linear matrix equation and its Procrust problems, Appl. Math. Comput., 219 (2013) 98729884.
125. S.F. Yuan, Q.W. Wang, X.F. Duan, On solutions of the quaternion matrix equation AX=B and their applications in color image restoration, Appl. Math. Comput., 221 (2013) 1020.
126. N. Li, Q.W. Wang, J. Jiang, An efficient algorithm for the reflexive solution of the quaternion matrix equation AXB+CXHD=F, J. Appl. Math., 2013 (2013).
127. S.F. Yuan, Q.W. Wang, X. Zhang, Least squares problem for the quaternion matrix equation AXB+CYD=E over different constrained matrices, Int. J. Comput. Math., 90 (3) (2013) 565576.
128. Y. Lin, Q.W. Wang, Completing a 2 x 2 block matrix of real quaternions with a partial specified inverse, J. Appl. Math., 2013 (2013). DOI: 10.1155/2013/271978.
129. H.X. Chang, X.F. Duan, Q.W. Wang, The Hermitian Rconjugate Procrustes problem, Abstract Appl. Anal., 2013 (2013). DOI: 10.1155/2013/423605.
130. Q.W. Wang, Z.H. He, Some matrix equations with applications, Linear Multilinear Algebra, 60 (1112) (2012) 13271353.
131. X. Zhang, Q.W. Wang, The solvability and the exact solution to a system of real quaternion matrix equations, Banach J. Math. Anal., 7 (2) (2013) 208224.
132. X.F. Duan, Q.W. Wang, A.P. Liao, On the matrix equation arising in an interpolation problem, Linear Multilinear Algebra, 61 (9) (2013) 11921205.
133. Q.W. Wang, G.H. Yu, The leastsquare bisymmetric solution to a quaternion matrix equation with applications, Bull. Iranian Math. Soc., 39 (2) (2013) 239257.
134. Q.W. Wang, X. Zhang, Z.H. He, On the Hermitian structures of the solution to a pair of matrix equations, Linear Multilinear Algebra, 61 (1) (2013) 7390.
135. Q.W. Wang, J. Yu, Constrained solutions of a system of matrix equations, J. Appl. Math., 2012 (2013). DOI: 10.1155/2012/471573.
136. X.F. Duan, Q.W. Wang, Perturbation analysis for the matrix equation, J. Appl. Math., 2012 (2012). DOI: 10.1155/2012/784620.
137. C.Z. Dong, Q.W. Wang, The common positive solution to adjointable operators equations with an application, J. Math. Anal. Appl., 396 (2012) 670679.
138. F. O. Farid, M. S. Moslehian, Q.W. Wang, Z.C. Wu, On the Hermitian solutions to a system of adjointable operator equations, Linear Algebra Appl., 437 (2012) 18541891.
139. C.Z. Dong, Q.W. Wang, Y.P. Zhang, On the Hermitian Rconjugate solution of a system of matrix equations, J. Appl. Math., 2012 (2013). DOI: 10.1155/2012/398085.
140. Q.W. Wang, X. Zhang, J. W. van der Woude, A new simultaneous decomposition of a matrix quaternity over an arbitrary division ring with applications, Commun. Algebra, 40 (2012) 23092342.
141. S.F. Yuan, Q.W. Wang, Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E, Electron. J. Linear Algebra, 23 (2012) 257274.
142. X. Zhang, Q.W. Wang, X. Liu, Inertias and ranks of some Hermitian matrix functions with applications, Cent. Eur. J. Math., 10 (1) (2012) 329351.
143. Z.H. He, Q.W. Wang, Solutions to optimization problems on ranks and inertias of a matrix function with applications, Appl. Math. Comput., 219 (2012) 2989300.
144. Q.W. Wang, S. W. Yu, Ranks of the common solution to some quaternion matrix equations with applications, Bull. Iranian Math. Soc., 38 (1) (2012) 131157.
145. Q.W. Wang, J. W. van der Woude, S.W. Yu, An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications, Sci. China Math., 54 (5) (2011) 907924.
146. M.H. Lin, Q.W. Wang, Remarks on Hua’s matrix equality involving generalized inverse, Linear Multilinear Algebra, 59 (9) (2011) 10591067.
147. I.A. Khan, Q.W. Wang, The Drazin inverses in an arbitrary semiring, Linear Multilinear Algebra, 59 (9) (2011) 10191029.
148. Q.W. Wang, C.Z. Dong, The general solution to a system of adjointable operator equations over the Hilbert C*modules, Operators Matrices, 5 (2) (2011) 333350.
149. G.J. Song, Q.W. Wang, Positive and repositive solutions to some systems of adjointable operator equations over Hilbert C*modules, Electron. J. Linear Algebra, l22 (2011) 10701084.
150. G.J. Song, Q.W. Wang, Condensed Cramer rule for some restricted quaternion linear equations, Appl. Math. Comput., 218 (2011) 31103121.
151. Q.W. Wang, G.H. Yu, On the maximal nullity of unicyclic graphs with fixed girth, Utilitas Mathematics, 86 (2011) 217223.
152. Q.W. Wang, X. Liu, S.W. Yu, The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations, Appl. Math. Comput, 218 (6) (2011) 27612771.
153. Q.W. Wang, Y. Zhou, Q. Zhang, Ranks of the common solution to six quaternion matrix equations, Acta Math. Appl. Sinica (English Series), 27 (3) (2011) 443462.
154. Q. Zhang, Q.W. Wang, The (P,Q)(skew)symmetric extremal rank solutions to a system of quaternion matrix equations, Appl. Math. Comput., 217 (2011) 92869296.
155. F. O. Farid, Q.W. Wang, Fuzhen Zhang, On the eigenvalues of quaternion matrices, Linear Multilinear Algebra, 59 (4) (2011) 451473.
156. G.J. Song, Q.W. Wang, H.X. Chang, Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field, Comput. Math. Appl., 61 (2011) 15761589.
157. D.Z. Lian, Q.W. Wang, Y. Tang.xtreme ranks of a partial banded block quaternion matrix expression subject to some matrix equations with applications, Algebra Colloq., 18 (2) (2011) 333346.
158. Q.W. Wang, Jing Jiang, Extreme ranks of (skew)Hermitian solutions to a quaternion matrix equation, Electron. J. Linear Algebra, 20 (2010) 552573.
159. Israr Ali Khan, Q.W. Wang, G.J. Song, Minimal ranks of some quaternion matrix expressions with applications, Appl. Math. Comput., 217 (2010) 20312040.
160. Q.W. Wang, C.Z. Dong, Positive solutions to a system of adjointable operator equations over Hilbert C*modules, Linear Algebra Appl., 433 (2010) 14811489.
161. Q.W. Wang, Z. C. Wu, Common Hermitian solutions to some operator equations on Hilbert C*modules, Linear Algebra Appl., 432 (2) (2010) 31593171.
162. H.X. Chang, Q.W. Wang, G.J. Song, (R, S)conjugate solution to a pair of linear matrix equations, Appl. Math. Comput., 217 (2010) 7382.
163. Q.W. Wang, S. W. Yu, Extreme ranks of real matrices in solution of the quaternion matrix equation AXB=C with applications, Algebra Colloq., 17 (2) (2010) 345360.
164. Q.W. Wang, J. W. van der Woude, H.X. Chang, A system of real quaternion matrix equations with applications, Linear Algebra Appl., 431 (2009) 22912303.
165. Q.W. Wang, H.S. Zhang, G.J. Song, A new solvable condition for a pair of generalized Sylvester equations, Electron. J. Linear Algebra, 18 (2009) 289301.
166. Q.W. Wang, S.W. Yu, The real solution to a system of quaternion matrix equations with applications, Commun. Algebra, 37 (6) (2009) 20602079.
167. Q.W. Wang, C.K. Li, Ranks and the leastnorm of the general solution to a system of quaternion matrix equations, Linear Algebra Appl., 430 (2009) 16261640.
168. Q.W. Wang, H.S. Zhang, S.W. Yu, On the real and pure imaginary solutions to the quaternion matrix equation AXB+CYD=E, Electron. J. Linear Algebra, 17 (2008) 343358.
169. Q.W. Wang, G.J. Song, Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications, Algebra Colloq., 16 (2) (2009) 293308.
170. Q.W. Wang, F. Zhang, The reflexive renonnegative definite solution to a quaternion matrix equation, Electron. J. Linear Algebra, 17 (2008) 88101.
171. Q.W. Wang, G.J. Song, C.Y. Lin, Rank equalities related to the generalized inverse with applications, Appl. Math. Comput., 205 (2008) 370382.
172. Q.W. Wang, H.X. Chang and Q. Ning, The common solution to six quaternion matrix equations with applications, Appl. Math. Comput., 198 (2008) 209226.
173. Q.W. Wang, H.X. Chang, etc., P (skew)symmetric common solutions to a pair of quaternion matrix equations, Appl. Math. Comput., 195 (2008) 721732.
174. Q.W. Wang, S.W. Yu, etc., Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications, Appl. Math. Comput., 195 (2008) 733744.
175. Q.W. Wang, H.X. Chang, etc., On the centrosymmetric solution of a system of matrix equations over a regular ring with identity, Algebra Colloq., 14 (4) (2007) 555570.
176. Q.W. Wang, G.J. Song, etc., Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application, Appl. Math. Comput., 189 (2007) 15171532.
177. Q.W. Wang, F. Qin, A system of matrix equations over regular rings, Indian J. Pure Appl. Math., 38 (6) (2007) 517532.
178. Q.W. Wang, Z.C. Wu, etc., Extremal ranks of a quaternion matrix expression subject to consistent system of quaternion matrix equations with applications, Appl. Math. Comput., 182 (2006) 17551764.
179. Q.W. Wang, The general solution to a system of real quaternion matrix equations, Comput. Math. Appl., 49 (56) (2005) 665675.
180. Q.W. Wang, Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations, Comput. Math. Appl., 49/56 (2005) 641650.
181. Q.W. Wang, A system of four matrix equations over von Neumann regular rings and its applications, Acta Math Sinica, English Series, 21 (2) (2005) 323334.
182. Q.W. Wang, F. Qin etc., The common solution to matrix equations over a regular ring with applications, Indian J. Pure Appl. Math., 36 (12) (2005) 655672.
183. Q.W. Wang, A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity, Linear Algebra Appl., 384 (2004) 4354.
184. Q.W. Wang, J.H. Sun, S.Z. Li, Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra, Linear Algebra Appl., 353 (2002) 169182.
Selected Research Projects (2007Present)
1. 20242027, the National Natural Science Foundation of China, Project Director.
2. 20202023, the National Natural Science Foundation of China, Project Director.
3. 20162019, the National Natural Science Foundation of China, Project Director.
4. 20122015, the National Natural Science Foundation of China, Project Director.
5. 20132015, the Key Project of Scientific Research Innovation Foundation of Shanghai Municipal Education Commission, Project Director.
6. 20122014, the Discipline Project at the corresponding level of Shanghai, Project Director.
7. 20112014, the National Natural Science Foundation of Shanghai, Project Director.
8. 20102012, the Ph.D. Programs Foundation of Ministry of Education of China, Project Director.
9. 20112012, Magnolia Science and Technological Talent Foundation of Shanghai, Project Director.
10. 20092011, the Scientific Research Innovation Foundation of Shanghai Municipal Education Commission, Project Director.
11. 20092010, the 2010 President’s Faculty Research and Development Grant FY 2010 Competition, USA (CoPI).
12. 20072009, the National Natural Science Foundation of China, Project Director.
13. 200703200709, the International Cooperation Program (NWO of the Netherlands), Project Director.
14. 2007, the National Natural Science Foundation of China, Project Director.
Selected Activities
1. Invited to participate to the “2024 University Mathematics Education and Teaching Forum and 70th Anniversary Conference of the Journal 'Studies in College Mathematics” held at Northwestern Polytechnical University, Xian, China, October 1214, 2024.
2. Member of the scientific organizing committee of “2024 International Conference on Dual Quaternion Theory and Applications” held at Guangxi Minzu University, Nanning, China, September 2023, 2024.
3. Invited to participate to the “The 2th Conference on Advanced Algebra/Linear Algebra Course and Textbook Development in Higher Education Institutions” held at Dalian University of Technology, Dalian, China, August 2123, 2024.
4. Invited to participate to the “2024 Workshop on Excellence in Algebra Undergraduate Course Construction and Teaching Innovation  Textbooks, Teaching Methods, and Digitalization” held at Zhengzhou University of Light Industry, Zhengzhou, China, August 1215, 2024.
5. Invited to participate to the “2024 Workshop on Matrices and Operators” held at University of Nevada, USA, June 1417, 2024.
6. Member of the scientific organizing committee of “2024 International Workshop on Matrix Analysis and Quantum Information Theory” held at Hue University, Vietnam, June 36, 2024.
7. Invited to participate to the “Workshop on Algebra, Combinatorics, and Graph Theory” held at Xiangtan University, Xiangtan, China, May 2427, 2024.
8. Invited to participate to the “SIAM Conference on Applied Linear Algebra (LA24)” held at Paris, France, May 1317, 2024.
9. Member of the scientific organizing committee of “The 4th International Conference on Quaternion Matrix Computation and Applications” held at Xuzhou, China, May 1013, 2024.
10. Chair of the scientific organizing committee of “2023 ChinaKoreaJapan International Conference on Matrix Theory with Applications & The 7th International Conference on Matrix Inequalities and Matrix Equations” held at Nanchang, China, December 14, 2023.
11. Member of the scientific organizing committee of the invited minisymposium “Matrix Analysis and Its Applications” for “10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)” held at Tokyo, Japan, August 2025, 2023.
12. Member of the scientific organizing committee of “The 10th International Conference on Matrix Analysis and Applications (ICMAA 2023)” held at Kunming, China, August 1518, 2023.
13. Chair of “The 5th Council Transition Conference and 2023 Academic Annual Meeting of the Education Mathematics Special Committee of the Chinese Higher Education Society” held at Zibo, China, August 25, 2023.
14. Member of the scientific organizing committee of “International Workshop on Matrix Analysis and Its Applications” held at Quynhon, Vietnam, July 78, 2023.
15. Member of the scientific organizing committee of “2022 International Conference on Matrix Theory with Applications to Combinatorics, Optimization and Data Science (ICMTA 2022)” held at Jeju, Korea, December 15, 2022.
16. Member of the scientific organizing committee of “The 9th International Conference on Matrix Analysis and Applications (ICMAA 2022)” held at University of Aveiro, Portugal, June 1517, 2022.
17. Chair of “2021 ChinaKoreaUSA International Conference on Matrix Theory” held at Hainan Normal University, Haikou, China, November 2627, 2021.
18. Chair of “The 6th International Conference on Matrix Equations and Matrix Inequalities with applications” held at Hainan Normal University, Haikou, China, November 2627, 2021.
19. Chair of “The 2021 Chinese Higher Education Association’s Committee for Education Mathematics Conference” held at Lanzhou Jiaotong University, China, July 2124, 2021.
20. Member of the scientific organizing committee of “2021 National Workshop on Graph and Matrix” held at Qinghai University for Nationalities, China, July 1820, 2021.
21. Chair of “Workshop on Algebra and Statistics” held at Shanghai University, China, June 1013, 2021.
22. Chair of “The 2020 Chinese Higher Education Association’s Committee for Education Mathematics Conference” held Online, China, November 28, 2020.
23. Chair of “The 2019 Chinese Higher Education Association's Committee for Education Mathematics Conference” held at Yangzhou University, China, July 29August 31, 2019.
24. Member of the scientific organizing committee of “2019 International Workshop on Matrices and Operators” held at Chern Institute of Mathematics, Nankai University, China, July 2327, 2019.
25. Member of the scientific organizing committee of “The 8th International Conference on Matrix Analysis and Applications (ICMAA 2019)” held at University of Nevada, Reno (UNR), Nevada, USA, July 1518, 2019.
26. Member of the scientific organizing committee of the invited minisymposium Matrix Inequalities and Matrix Equations for “The 2019 International Linear Algebra Society Conference (ILAS 2019)” held at Rio de Janeiro, Brazil, July 812, 2019.
27. Member of the scientific organizing committee of “2019 International Conference on Matrix Theory with Applications: Combinatorics, Optimization & Data Analysis” held at Jeju, Korea, May 2327, 2019.
28. Chair of “2019 International Conference on Matrix Inequalities and Matrix Equations” held at Guilin University of Electronic Technology, Guilin, China, 710 June, 2019.
29. Chair of “2018 ChinaKorea International Conference on Matrix Theory with Applications IRCTMTAORC Joint Meeting (ICMTA2018)”, held at Shanghai University, December 1720, 2018.
30. Chair of “2018 International Conference on Matrix Inequalities and Matrix Equations” held at Shanghai University, China, 810 June, 2018.
31. Member of the scientific organizing committee of “2018 International Workshop on Matrices and Operators”, held at Shanghai University, China, June 1518, 2018.
32. Member of the scientific organizing committee of “The 7th International Conference on Matrix Analysis and Applications” held at Shinshu University, NaganoEngineering Campus that is located in Nagano Prefecture, Japan, June 2225, 2018.
33. Member of the scientific organizing committee of “The 13th International Conference of China Matrix Theory and its Applications” held at Harbin Engineering University, Harbin, China, August 1722, 2018.
34. Member of the scientific organizing committee of the special session Matrix Analysis and its Applications for “The 3rd Pacific Rim Mathematical Association Congress (PRIMA2017)” held at Oaxaca, Mexico, August 1418, 2017.
35. Member of the scientific organizing committee of “The workshop of Matrix Equations and Related Topics” (A satellite conference to PRIMA 2017) held at Mathematics Institute of the National Autonomous University of Mexico, Mexico, August 1113, 2017.
36. Member of the scientific organizing committee of the minisymposium Solving Matrix Equations for “The 2017 International Linear Algebra Society Conference (ILAS 2017)” held at Iowa State University, Ames, Iowa, USA, July 2428, 2017.
37. Member of the scientific organizing committee of “The 6th International Conference on Matrix Analysis and Applications”, held at Duy Tan University, Vietnam, June 1518, 2017.
38. Chair of “2017 International Workshop on Matrix Inequalities and Matrix Equations” held at Shanghai University, China, 68 June, 2017.
39. Member of the scientific organizing committee of “2017 KoreaChina International Conference on Matrix Theory with Applications AORCIRCTMT Joint Meeting (ICMTA2017)”, held at Sungkyunkwan University Suwon, Korea, December 1417, 2017
40. Chair of “2016 ChinaKorea International Conference on Matrix Theory with ApplicationsIRCTMTAORC Joint Meeting (ICMTA2016)” held at Shanghai University, Shanghai, China, December 2831, 2016
41. Chair of “2016 International Workshop on Matrix Inequalities and Matrix Equations” held at Shanghai University, China, 810 June, 2016.
42. Chair of “2016 International Workshop on Tensor and Matrix with Applications” held at Shanghai University, China, 1819 May, 2016.
43. Member of the Academic committee of “International conference on Tensor, Matrix and their applications” held at Chern Institute of Mathematics, Nankai University, Tianjin, China，May 2024, 2016.
44. Member of the scientific organizing committee of “The 5th International Conference on Matrix Analysis and Applications” held at Nova Southeastern University, Florida, USA, December 1720, 2015
45. Member of the scientific organizing committee of the special session Computer Algebra Methods for Matrices over Rings for “Applications of Computer Algebra” held at Kalamata, Greece, July 2023, 2015.
46. Chair of “2015 International Workshop on Matrix Inequalities and Matrix Equations” held at Shanghai University, Shanghai, China, 2830 June, 2015.
47. Chair of “2014 Shanghai International Conference on Matrix Analysis and Applications (SICMAA2014)” held at Shanghai University, China, Dec.1416.
48. Chair of “2013 Shanghai International Conference on Matrix Analysis and Applications (SICMAA2013)” held at Shanghai University, China, Dec.2729, 2013.
49. Member of The scientific organizing committee of “The 4th International Conference on Matrix Analysis and Applications”held at Konya, Turkey, July 25, 2013.
50. Chair of “2012 International Conference on Coding, Cryptography and Matrix Theory” held at Shanghai, Dec 1416, 2012.
51. Chair of “International Workshop on Coding and Cryptography” held at Shanghai, May 1113, 2012.
52. Member of the scientific organizing committee of the “The 7th workshop on Matrices and Operators" held at Harbin, Heilongjiang, China, July 1316, 2012.
53. Chair of local organization of “The 9th International Conference on Matrix Theory and its Applications”, held at Shanghai University, Shanghai, China, July 1922, 2010.
54. Chair of Program Committee of “International Workshop on Coding and Cryptography” held at Sichuan Normal University, Chengdu, China, August 1621, 2010.
55. Chair of local organization committee of “2009 Shanghai International Conference on Matrix Theory” held at Shanghai University, Shanghai, China, July 1415, 2009.
56. Member of Scientific organizing committee of “The 3rd International Workshop on Matrix Analysis and Applications” held at Linan, Zhejiang, China, July 913, 2009.
57. Educational Mathematics and Studies in College Mathematics, “2024 University Mathematics Education and Teaching Forum and 70th Anniversary Conference of the Journal 'Studies in College Mathematics” held at Northwestern Polytechnical University, Xian, China, October 1214, 2024. (Invited talk)
58. Generalized HandEye Calibration Equations and Their Applications, “2024 International Conference on Dual Quaternion Theory and Applications” held at Guangxi Minzu University, Nanning, China, September 2023, 2024. (Plenary talk)
59. Construction of FirstClass Course Materials under the Guidance of Educational Mathematics: A Case of Linear Algebra, “The 2th Conference on Advanced Algebra/Linear Algebra Course and Textbook Development in Higher Education Institutions” held at Dalian University of Technology, Dalian, China, August 2123, 2024. (Invited talk)
60. Mathematics Education and Excellence in Course and Textbook Development, “2024 Workshop on Excellence in Algebra Undergraduate Course Construction and Teaching Innovation  Textbooks, Teaching Methods, and Digitalization” held at Zhengzhou University of Light Industry, Zhengzhou, China, August 1215, 2024. (Invited talk)
61. A generalized Sylvester dual quaternion matrix equation with application, “2024 Workshop on Matrices and Operators” held at University of Nevada, USA, June 1417, 2024. (Invited talk)
62. Recent Advances in Quaternion Matrix and Tensor Equations, “Workshop on Algebra, Combinatorics, and Graph Theory” held at Xiangtan University, Xiangtan, China, May 2427, 2024. (Invited talk)
63. New results on some dual quaternion matrix equations, “The 4th International Conference on Quaternion Matrix Computation and Applications” held at Xuzhou, China, May 1013, 2024. (Plenary talk)
64. Some new results on Sylvestertype generalized commutative quaternion matrix equation, “10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)” held at Tokyo, Japan, August 2025, 2023. (Invited talk)
65. A constrained Sylvestertype generalized commutative quaternion matrix equation, “The 14th International Conference on Matrix Theory and its Applications” held at Kunming, China, August 1518, 2023. (Plenary talk)
66. Making Linear Algebra Easier to Teach and Learn, “The 14th International Conference on Matrix Theory and its Applications” held at Qingdao, China, July 2126, 2023. (Plenary talk)
67. New Developments of Matrix and Tensor Equations, “The 12th International Seminar on Linear Algebra and its Applications” held at Tabriz, Iran, July 1819, 2023. (Keynote talk)
68. The η(anti)Hermitian solution to a constrained Sylvestertype generalized commutative quaternion matrix equation, “25th Conference of the International Linear Algebra Society” held at Madrid, Spain, June 1216, 2023. (Invited talk)
69. Sylvestertype Hamilton quaternion matrix and tensor equations, “The 9th International Conference on Matrix Analysis and Applications (ICMAA 2022)” held at University of Aveiro, Portugal, June 1517, 2022. (Plenary talk)
70. Common solutions of quaternion matrix and tensor equations, “2021 Workshop on Theory and Computation of Quaternion Matrices” held at Liaocheng University, Shandong, China, November 27, 2021. (Plenary talk)
71. Systems of quaternion matrix and tensor equations, “The 6th International Conference on Matrix Equations and Matrix Inequalities with applications” held at Hainan Normal University, Haikou, China, November 2627, 2021. (Plenary talk)
72. New proofs of some theorems in linear algebra, “The Symposium on Algebra and Related Topics” held at Shanghai Jiaotong University, China, October 3031, 2021. (Plenary talk)
73. Systems of quaternion matrix and tensor equations, “The 5th ChinaBrazil Symposium on Applied and Computational Mathematics” held at Dongguan, China, August 2324, 2021. (Invited talk)
74. Teaching college mathematics courses under the guidance of educational mathematics: Taking a system of linear equations as an Example, “2021 National Workshop on Graph and Matrix” held at Qinghai University for Nationalities, China, July 1820, 2021. (Plenary talk)
75. Systems of matrix and tensor equations over the quaternion division ring with applications, “The 6th National Conference on Rings and Algebras” held at Sichuan University of Arts and Science, China, June 2528, 2021. (Plenary talk)
76. An Introduction to Hamilton Quaternions and Matrices of Quaternions, “SIAM Conference on Applied Linear Algebra (LA21)” held at New Orleans, Louisiana, U.S., May 1721, 2021. (contributed talk)
77. Systems of quaternion matrix and tensor equations with applications, “Conference on Tensor, hypergraph theory and its application” held at Suzhou University of Science and Technology, Jiangsu, China, May 1417, 2021. (Plenary talk)
78. Sets of matrix and tensor equations over the quaternions, “2021 Southeast University Algebra Symposium” held at Southeast University, China, April 2326, 2021. (Plenary talk)
79. New developments of some matrix equations over the quaternions, “2021 Hefei Workshop on Ring and Algebra” held at Hefei University of Technology, China, January 810, 2021. (Plenary talk)
80. Sylvestertype quaternion equations with applications, “2020 workshop on generalized inverses” held at Yangzhou University, China, Dec. 46, 2020. (Plenary talk)
81. The Common Solution of 17 Quaternion Matrix Equations, “Workshop on Quaternion Matrices and Their Applications in Engineering” held at Hong Kong Polytechnic University, China, Oct. 31Nov. 1, 2020. (Plenary talk)
82. The restricted singular value decomposition of a tensor over the quaternion algebra, “The 2019 International Linear Algebra Society Conference (ILAS 2019)” held at Rio de Janeiro, Brazil, July 812, 2019. (Invited talk in the invited minisymposium Matrix Inequalities and Matrix Equations)
83. The solvability and general solution of a system of quaternion matrix equations, “The 2019 International Linear Algebra Society Conference (ILAS 2019)” held at Rio de Janeiro, Brazil, July 812, 2019. (Invited talk in minisymposium symbolicnumeric methods in Matrix Theory)
84. The new developments of Sylvesterlike quaternion matrix equations with applications, “The 8th International Conference on Matrix Analysis and Applications (ICMAA 2019)” held at University of Nevada, Reno (UNR), Nevada, USA, July 1518, 2019. (Invited talk)
85. The Sylvesterlike matrix equations with applications, “International Conference on Matrix Theory and Applications: Combinatorics, Optimization & Data Analysis2019 Joint Conference of AORCIRCTMTIDEaS” held at Jeju National University Jeju, Korea, May2327, 2019. (Invited talk)
86. A tensor quaternion equation with application, “2019 International Workshop on Matrices and Operators” held at Chern Institute of Mathematics, Nankai University, China, July 2327, 2019. (Invited talk)
87. The new investigation on system of linear equations, “The 2019 Chinese Higher Education Association's Committee for Education Mathematics Conference” held at Yangzhou University, China, July 29August 31, 2019. (Invited talk)
88. Some developments of Sylvestertype matrix equations over an arbitrary division ring, “2017 KoreaChina International Conference on Matrix Theory with ApplicationsAORCIRCTMT Joint Meeting (ICMTA2017)” held at Sungkyunkwan University Suwon, Korea，December 1417, 2017. (Invited talk)
89. Decompositions of matrices over an arbitrary division algebra with applications, “2017 Workshop on Operators and Matrices” held at Hunan University, Changsha, China, June 9  12, 2017. (Invited talk)
90. On A system of quaternion matrix equations with applications, “The workshop of Matrix Equations and Related Topics” held at Mathematics Institute of the National Autonomous University of Mexico, Mexico, August 1113, 2017. (Plenary talk)
91. Decompositions of some matrices over an arbitrary division ring with applications, “The 3rd Paciﬁc Rim Mathematical Association Congress” held at Oaxaca, Mexico, August 1418, 2017. (Invited talk in the Session Matrix Analysis and its Applications)
92. A system of quaternion matrix equations with applications, “The 3rd International Congress in Algebras and Combinatorics (ICAC 2017)” held at Hong Kong, August 2528, 2017. (Invited talk)
93. Some systems of Sylvesterlike matrix equations over an arbitrary division ring, “The 2017 International Linear Algebra Society Conference (ILAS 2017)” held at Iowa State University, Ames, Iowa, USA, July 2428, 2017. (Invited talk in the minisymposium Solving Matrix Equations)
94. The investigations on some Sylvestertype matrix equations, “The 6th International Conference on Matrix Analysis and Applications” held at Duy Tan University, Danang city, Vietnam, June 1518, 2017. (Invited talk)
95. Sylvestertype matrix equations and simultaneous decompositions for some sets of matrices, “International conference on Tensor/Matrix and their applications” held at Chern Institute of Mathematics, Nankai University, Tianjin, China, May 2024, 2016. (Invited talk)
96. Simultaneous decompositions for some sets of matrices over an arbitrary division ring, “The 5th International Conference on Matrix Analysis and Applications” held at Nova Southeastern University, Florida, USA, December 1720, 2015. (Invited talk)
97. Systems of coupled generalized Sylvester matrix equations, “The 19th International Linear Algebra Society Conference (ILAS 2014)” held in Korea, August 69, 2014. (Invited talk in the Session Solution of Sylvesterlike equations and canonical forms)
98. Systems of coupled generalized Sylvester matrix equations, “The workshop of numerical algebra” held at Peking University, China, Nov. 25, 2013. (Plenary talk)
99. Some new developments of matrix equations, “The 7th workshop on Matrices and Operators” held at Harbin, Heilongjiang, China, July 1316, 2012. (Invited talk)
100. On the eigenvalues of quaternion matrices, “The 9th International Conference on Matrix Theory and its Applications” held at Shanghai, China, July 1922, 2010. (Plenary talk)
101. A system of real quaternion matrix equations with applications, “International Conference in Mathematics and Application” held at Bangkok, Thailand, December 1719, 2009. (Invited talk)
102. Linear matrix equations with applications, “International Conference on Algebra and Geometry” held at Royal Phuket, Thailand, 2009, Dec. 2022, 2009. (Invited talk)
103. Systems of linear matrix equations, “The 3rd International Workshop on Matrix Analysis and Applications” held at Linan, China, July 913, 2009. (Plenary talk)
104. The investigations of quaternion matrix equations with applications, “The International Conference on Algebra and Related Topics” held at Guangzhou, June 2427, 2009. (Invited talk)
105. The reflexive Repositive definite solution to a system of quaternion matrix equations, “The Second International Workshop on Successful Strategies in Supply Chain Management” held at Hong Kong, January 89, 2009. (Invited talk)
106. Rank method and systems of linear quaternion matrix equations, “The 8th Chinese Matrix Theory and Applications International Conference” held at Taiyuan, July 2008. (Invited talk)
107. (P,Q)(skew)symmetric solutions to a pair of matrix equations over the Hamilton quaternion algebra, “The 14th Conference of the International Linear Algebra Society” held at Shanghai, July 2007. (Invited talk)
108. Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications, “The 9th Chinese Conference of Algebra” held at Xiamen, China, October 2006. (Invited talk)
109. Representations of some matrices and systems of matrix equations over noncommutative rings, “International workshop” held at Shanghai, March 2005. (Invited talk)
110. Various solutions to a system of generalized Sylvester matrix equations over a finite dimensional central algebra, “The 8th Chinese Conference of Algebra” held at Huangshan, October 2004. (Invited talk)
111. Solvable conditions to a system of generalized Sylvester matrix equations over a finite dimensional central algebra, “International Congress of Mathematicians” held at Beijing, August 2002. (Invited talk)
Services
2. 2018.07present, President of the Chinese Higher Education Association’s Specialized Committee for Education Mathematics
3. 2005.052018.11, Head of Department of Mathematics, Shanghai University
4. 2016.05present, Director of International Research Center for Tensor and Matrix Theory of Shanghai University
5. 2008.05present, Executive Director of the Institute of Core Mathematics in Shanghai University
6. 2009.06present, Executive Director of the Institute of Mathematics and Coding & Cryptography in Shanghai University
7. Reviewer for Mathematical Reviews
8. Reviewer for Zentralblatt Math
9. Member of editorial boards of the following mathematical journals:
l EditorinChief of International Journal of Mathematics and Computers in Simulation
l EditorinChief of Advances in Linear Algebra & Matrix Theory
l EditorinChief of Surveys in Mathematics and Mathematical Sciences
l Symmetry
l Annals of Functional Analysis (20102024)
l FACTA UNIVERSITATIS, Series Mathematics and Informatics
l JP Journal of Algebra, Number Theory and Applications
l Communications on Applied Mathematics and Computation
l Global Journal of Pure and Applied Mathematics (GJPAM)
l Advances in Theoretical and Applied Mathematics (ATAM)
l Far East Journal of Mathematical Sciences
l Journal for Algebra and Number Theory Academia
l International Journal of Pure Mathematics
l Advances in Pure Mathematics
l Advances in Mathematical Sciences Journal
l Current Journal of Applied Science and Technology
l Universal Journal of Mathematics and Mathematical Sciences
l Surveys in Mathematics and Mathematical Sciences
l Advances in Applied Mathematical Analysis (AAMA)
l Advances in Algebra (AA)
l Journal of Mathematics Research
l International Journal of Pure and Applied Mathematical Sciences (IJPAMS)
l Global Journal of Mathematics and Mathematical Sciences (GJMMS)
l Global Journal of Theoretical and Applied Mathematical Sciences (GJTAMS)
l International Journal of Statistics and Analysis (IJSA)
l Pioneer Journal of Algebra, Number Theory and its Applications
l Abstract and Applied Analysis (20112021)
l Journal of Applied Mathematics (20112021)
l Mathematical Problems in Engineering (20112018)
10. Council member of Chinese Higher Education Society
11. Council member of Shanghai Mathematics Society
12. Member of ICCM Individual Membership for Chinese mathematicians, and ICCM Cooperative Membership
13. Refereeing and reviewing for the following international academic journals:
1) Acta Math. Appl. Sinica (English Series)
4) Advances in Applied Clifford Algebras
5) Advances in Differential Equations
6) Advances in Pure Mathematics
8) Applied Mathematics and Computation
9) Applied Mathematics Letters
10) Applied Numerical Mathematics
11) Applied Mathematics and Mechanics
12) Automatica
14) AsianEuropean Journal of Mathematics
15) Bulletin of Iranian Mathematical Society
16) Bulletin of the Belgian Math. Soc. Simon Stevin
17) Chinese Advanced in Mathematics
18) Chinese Annals of Mathematics Series B
19) Communications in Mathematical Research
20) Computational & Applied Mathematics
21) Computers & Mathematics with Applications
22) CUBO, A Mathematical Journal
23) Czechoslovak Mathematical Journal
24) Electronic Journal of Linear Algebra
25) Facta Universitatis, Series Mathematics and Informatics
26) FILOMAT
27) Frontiers of Mathematics in China
28) Houston Journal of Mathematics
29) IET Control Theory and Applications
30) IMA Journal of Mathematical Control and Information
31) IMA Journal of Numerical Analysis
32) Indian J. Pure Appl. Math.
33) International Journal of Computer Mathematics
34) International Journal of Systems Science
35) Iranian Journal of Mathematical Sciences and Informatics
36) Iranian Journal of Science and Technology, Transactions A: Science
37) Journal for Algebra and Number Theory Academia
38) Journal of Algebra and Its Applications
39) Journal of Applied and Computational Mathematics
40) Journal of Computational and Applied Mathematics
41) Journal of Differential Equations
42) Journal of the Franklin InstituteEngineering and Applied Mathematics
43) Journal of Internet and Information Systems
44) Journal of Mathematical Inequalities
45) Journal of Mathematical Research with Applications.
46) Journal of Mathematical Inequalities
47) Journal of Multivariate Analysis
48) Journal of Systems Science and Complexity
49) Journal of Vibration and Control
50) Linear Algebra and Its Applications
51) Linear and Multilinear Algebra
52) Mathematical Inequalities & Applications
53) Mathematical Methods in the Applied Sciences
54) Mathematical Modelling and Analysis
55) Mathematical Problems in Engineering
56) Metrika
57) Mathematical Methods in the Applied Sciences
58) Natural Science Foundation of China
61) Numerical Linear Algebra with Applications
62) Open Mathematics
64) Pacific Journal of Mathematics
65) PLOS ONE
66) Publicationes Mathematicae Debrecen
67) Pure Mathematics
68) Quantum Information Processing
69) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas （RACSAM）
72) SIAM Journal on Matrix Analysis and Applications
73) Southeast Asian Bulletin of Mathematics
74) Studies in Mathematical Sciences
75) Symmetry
76) The Journal of the Franklin Institute
77) Transactions of the Institute of Measurement and Control
78) Science Asia
79) Applied Science
80) Journal of Applied Mathematics and Computing
82) Arabian Journal of Mathematics
83) Electronic Research Archive
84) Axioms
86) Qualitative Theory of Dynamical Systems
87) Bulletin des sciences mathématiques
88) Finite Fields and Their Applications
Instruction for candidates of PhD Students
Basic Conditions Examinees should possess the deepset fundament of algebra and matrix theory 
Subjects for the entrance examination Choose any two among the following: · Matrix Algebra Reference: Fuzhen Zhang, Matrix TheoryBasic Results and Techniques, SpringerVerlag New York INc., Second Edition, 2011. · Matrix Analysis Reference: Roger A. Horn and Charles R. Johnson, Matrix Analysis，Posts & Telecom Press, Second Edition, 2015. · Algebra Reference: T.W. Hungerford, Algebra, SpringerVerlag New York INc., Second Edition, 1980. 
Some Links
² Department of Mathematics, Shanghai University ² International Research Center for Tensor and Matrix Theory of Shanghai University (IRCTMT) ² Applied Algebra and Optimization Research Center
(AORC), 
² Homepage of Michael KwokPo NG ² Homepage of TinYau Tam ² Homepage of Fuzhen Zhang 
² Wikipedia 
² Excelent Course of Shanghai 
² Mathematics Journals on the Web 
² Front for the Mathematics ArXiv(Preprints) 
² ArXiv 
² MathSearch 
² Linear Algebra and its Applications ² SIAM Journal on Matrix Analysis and Applications ² Some International Mathematics Journals ² Math culture, career, etc.—Various interesting articles can be found ² Problems and Solutions—— ² Linear Algebra Related Conferences ² AMS Mathematics Subject Classification ² Abbreviations of Names of Serials ² American Mathematical Society 