Brief Introduction

Teaching Courses

Bachelor Degree Courses

1. Higher algebra (Shanghai Municipality Excellent Course) 2. Linear algebra (First batch of national first-class undergraduate courses)

3. Probability theory 4. Matrix and tensor 5. Abstract algebra

6.  The explorations and discoveries of mathematics  (First-class undergraduate courses in Shanghai Municipality)

Graduated PhD Students

Graduated Master Students

Selected Published Papers (2002-Present)

1. T. Li, Q.W. Wang, Structure Preserving Quaternion Biconjugate Gradient Method, SIAM J. Matrix Anal. Appl., 45 (1) (2024) 306-326. 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/s00006-024-01348-5.

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/s40314-024-02884-3.

4. Z.H. Gao, Q.W. Wang, L. Xie, The (anti-) η-Hermitian solution to a novel system of matrix equations over the split quaternion algebra, Math. Meth. Appl. Sci., (2024) 1-18, 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 Sylvester-type quaternion matrix equations with multiple unknowns, Comp.Appl.Math., 43(4)(2024)1-24. DOI:10.1007/s40314-024-02706-6.

7. M.S. Mehany, Q.W. Mehany, L.S. Liu, A System of Sylvester-like Quaternion Tensor Equations with an Application. Front. Math., (2024) 1-20. DOI: 10.1007/s11464-021-0389-8.

8. C.Q. Zhang, Q.W. Wang, X.X. Wang, Z.H. He, Restricted Singular Value Decomposition for a Tensor Triplet under T-Product 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 positive-definite matrices, Electron. J. Linear Algebra, 40 (2024) 172-176. 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/s10543-023-00990-y.

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) 104-117. DOI: 10.1016/j.apnum.2023.10.008.

15. H.H. Zhu, C.C. Wang, Q.W. Wang, Left w-Core Inverses in Rings with Involution, Mediterr. J. Math., 20 (6) (2023) 337. DOI: 10.1007/s00009-023-02541-9.

16. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Generalized smooth mutual max-information of quantum channel. Quantum Inf. Process., 22 (6) (2023) 240. DOI: 10.1007/s11128-023-03995-2.

17. J. Qin, Q.W. Wang, Solving a system of two-sided Sylvester-like quaternion tensor equations. Comput. Appl. Math., 42 (5) (2023) 232. DOI: 10.1007/s40314-023-02349-z.

18. X.Y. Chen, Q.W. Wang, The η-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation, Banach J. Math. Anal., 17 (40) (2023). DOI: 10.1007/s43037-023-00262-5.

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/s43034-023-00276-y.

20. B.Y. Ren, Q.W. Wang, X.Y. Chen, The η-anti-Hermitian 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) 97-106. DOI: 10.2298/FIL2301097X.

23. J.F. Chen, Q.W. Wang, G.J. Song, T. Li, Quaternion matrix factorization for low-rank 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 Khatri-Rao 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). 2025-2042. DOI: 10.2298/FIL2206025F.

28. M.Y. Xie, Q.W. Wang, Z.H. He, Mahmoud S. Mehany, A System of Sylvester-type Quaternion Matrix Equations with Ten Variables, Acta Mathematica Sinica-English Series, 38 (8) (2022). 1399-1420 DOI: 10.1007/s10114-022-9040-1.

29. M.Y. Xie, Q.W. Wang, Y. Zhang, The Minimum-Norm 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/s40314-022-01873-8.

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 Sylvester-Type 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 Sylvester-like Quaternion Matrix Equations, Symmetry, 14 (5) (2022). DOI: 10.3390/sym14051056.

34. Mahmoud S. Mehany, Q.W. Wang, Three Symmetrical Systems of Coupled Sylvester-like 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) 501-519. 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) 887-903. 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 Yang-Baxter-Like Matrix Equation for a Singular Diagonalizable Matrix With Three Distinct Eigenvalues, Filomat, 35 (12) (2021) 3971-3982. 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) 104-130.

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. Cvetkovic-Ilic, Q.W. Wang, Y.M. Wei, Different completions of A+CX, J. Spectr. Theor., 11 (3) (2021) 905-914. DOI: 10.4171/JST/356.

42. H.H. Zhu, Q.W. Wang, Weighted Moore-Penrose inverses and weighted core inverses in rings with Involution, Chinese Ann. Math. Ser. B, 42 (4) (2021). 613-624.

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/s10957-021-01906-y

45. X.J. Xu, Q.W. Wang, On the solutions of a class of tensor equations, Linear Multilinear Algebra, 70 (21) (2022) 6141-6154. DOI: 10.1080/03081087.2021.1948492.

46. D. S. Cvetković-Ilić, J. N. Radenković, Q.W. Wang, Algebraic conditions for the solvability to some systems of matrix equations, Linear Multilinear Algebra, 69 (9) (2021) 1579-1609. 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 skew-Hermitian splitting methods for solving a tensor equation, Int. J. Comput. Math., 98 (6) (2021) 1274-1290.

50. S. Dong, Q.W. Wang, More generalizations of Hartfiel's inequality and the Brunn-Minkowski inequality, Bull. Iranian Math. Soc., 47 (1) (2021) 21-29.

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) 499-510.

52. Q.W. Wang, X. Wang, A system of coupled two-sided Sylvester-type tensor equations over the quaternion algebra, Taiwanese J. Math., 24 (6) (2020) 1399-1416.

53. Q.W. Wang, X. Wang, Y. Zhang, A constraint system of coupled two-sided Sylvester-like quaternion tensor equations, Comput. Appl. Math., 39 (4) (2020). DOI: 10.1007/s40314-020-01370-w.

54. M. Xie, Q.W. Wang, Reducible solution to a quaternion tensor equation, Front. Math. China, 15 (5) (2020) 1047-1070.

55. Q.W. Wang, R.Y. Lv, Y. Zhang, The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra, Linear Multilinear Algebra, 70 (10) (2022) 1942-1962. 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/s40314-020-01182-y.

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/s10915-020-01158-4.

59. D. Cvetkovic-Ilic, 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 Sylvester-conjugate matrix equation, Filomat, 34 (4) (2020) 1329-1346.

61. A. Farouk, Q.W. Wang, An infinite family of Hadamard matrices constructed from Paley type matrices, Filomat, 34 (3) (2020) 815-834.

62. Z. Chen, L. Cao, Q.W. Wang, The extreme points of certain polytopes of doubly substochastic matrices, Linear Multilinear Algebra, 68 (10) (2020) 1956-1971.

63. H.H. Zhu, Q.W. Wang, Weighted pseudo core inverses in rings, Linear Multilinear Algebra, 68 (12) (2020) 2434-2447.

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/s11128-019-2461-9.

65. X. Liu, Q.W. Wang, Y. Zhang, Consistency of quaternion matrix equations AX*-XB=C and X-AX*B=C*, Electron. J. Linear Algebra, 35 (2019) 394-407.

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/s11128-019-2304-8.

67. X.J. Xu, Q.W. Wang, Extending BiCG and BiCR methods to solve the Stein tensor equation, Comput. Math. Appl., 77 (12) (2019) 3117-3127.

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) 1161-1171.

69. Q.W. Wang, Z.H. He, Y. Zhang, Constrained two-sided coupled Sylvester-type quaternion matrix equations, Automatica, 101 (2019) 207-213.

70. Z.H. He, Q.W. Wang, Y. Zhang, A simultaneous decomposition for seven matrices with application, J. Comput. Appl. Math., 349 (2019) 93-113.

71. Q.W. Wang, X.J. Xu, Iterative algorithms for solving some tensor equations, Linear Multilinear Algebra, 67 (7) (2019) 1325-1349.

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) 352-367.

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) 1317-1325.

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) 74-95.

75. Z.H. He, Q.W. Wang, Y. Zhang, A system of quaternary coupled Sylvester-type real quaternion matrix equations, Automatica, 87 (2018) 25-31.

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) 2355-2388.

77. S.W. Huang, Q.W. Wang, Y. Zhang, Equivalence on some Rotfel’d type theorems, Linear Multilinear Algebra, 66 (8) (2018) 1626-1632.

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) 490-499.

79. S.W. Huang, C.K. Li, Y.T. Poon, Q.W. Wang, Inequalities on generalized matrix functions, Linear Multilinear Algebra, 65 (10) (2017) 1947-1961.

80. J.T. Liu, Y.T. Poon, Q.W. Wang, A generalized Hölder type eigenvalue inequality, Linear Multilinear Algebra, 65 (10) (2017) 2145-2151.

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) 3183-3196.

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) 1019-1022.

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) 3235-3252.

84. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Quantum-memory-assisted 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) 2423-2432.

86. S.W. Huang, Q.W. Wang, A note on Rotfel’d Theorem in a sector, Linear Multilinear Algebra, 65(8) (2017)1655-166.

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) 537-542.

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) 233-253.

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 η-Hermicity with applications, Appl. Math. Comput., 298 (2017) 13-35.

91. Z.H. He, Q.W. Wang, A System of periodic discrete-time coupled Sylvester quaternion matrix equations, Algebra Colloq., 24 (1) (2017) 169-180.

92. Q.W. Wang, A. Rehman, Z.H. He, Y. Zhang, Constraint generalized Sylvester matrix equations, Automatica, 69 (2016) 60-64.

93. Z.H. He, O. M. Agudelo, Q.W. Wang, B.D. Moor, Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices, Linear Algebra Appl., 496 (2016) 549-593.

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) 2133-2158.

95. S.F. Yuan, Q.W. Wang, L-structured quaternion matrices and quaternion linear matrix equations, Linear Multilinear Algebra, 64 (2) (2016) 321-339.

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) 291-300.

97. L. Li, Q.W. Wang, S.Q. Shen, M. Li, Measurement-induced nonlocality based on Wigner-Yanase 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) 71-81.

99. L.J. Huang, Q.W. Wang, Y. Zhang, The Moore-Penrose inverses of matrices over quaternion polynomial rings, Linear Algebra Appl., 475 (2015) 45-61.

100. Z.H. He, Q.W. Wang, The general solutions to some systems of matrix equations, Linear Multilinear Algebra, 63 (10) (2015) 2017-2032.

101. A. Rehman, Q.W. Wang, Z. H. He, Solution to a system of real quaternion matrix equations encompassing η-Hermicity, Appl. Math. Comput., 265 (2015) 945-957.

102. Q.W. Wang, Z.H. He, Systems of coupled generalized Sylvester matrix equations, Automatica, 50 (2014) 2840-2844.

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) 839-852.

104. S.F. Yuan, Q.W. Wang, Z.P. Xiong, The least squares eta-Hermitian problems of quaternion matrix equation, Filomat, 28 (6) (2014) 1153-1165.

105. G.H. Yu, L.H. Li, Q.W. Wang, The minimal positive index of inertia of signed unicyclic graphs, Ars Comb., 117 (2014) 245-255.

106. G.J. Song, Q.W. Wang, On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model, Statistical Papers, 55 (2014) 375-392.

107. Z.H. He, Q.W. Wang, The η-bihermitian solution to a system of real quaternion matrix equations, Linear Multilinear Algebra, 62 (11) (2014) 1509-1528.

108. Q.W. Wang, X. Zhang, Y. Zhang, Algorithms for finding the roots of some quadratic octonion equations, Commun. Algebra, 42 (2014) 3267-3282.

109. J. Zhang, Q.W. Wang, An explicit formula for the generalized cyclic shuffle map, Canad. Math. Bull., 57 (1) (2014) 210-223.

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) 236-243.

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 anti-reflexive 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) 2713-2719.

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) 297-309.

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) 3528-3543.

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) 2085-2105.

117. S.F. Yuan, Q.W. Wang, Z.P. Xiong, Linear parameterized inverse eigenvalue problem of bisymmetric matrices, Linear Algebra Appl., 439 (2013) 1990-2007.

118. G.H. Yu, L.H. Feng, Q.W. Wang, Bicyclic graphs with small positive index of inertia, Linear Algebra Appl., 438 (5) (2013) 2036-2045.

119. X.F. Duan, Q.W. Wang, J.F. Li, On the Low-rank approximation arising in the generalized karhunen-loeve 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) 725-740.

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) 1795-1820.

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) 9872-9884.

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) 10-20.

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) 565-576.

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 R-conjugate 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 (11-12) (2012) 1327-1353.

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) 208-224.

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) 1192-1205.

133. Q.W. Wang, G.H. Yu, The least-square bisymmetric solution to a quaternion matrix equation with applications, Bull. Iranian Math. Soc., 39 (2) (2013) 239-257.

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) 73-90.

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) 670-679.

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) 1854-1891.

139. C.Z. Dong, Q.W. Wang, Y.P. Zhang, On the Hermitian R-conjugate 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) 2309-2342.

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) 257-274.

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) 329-351.

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) 2989-300.

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) 131-157.

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) 907-924.

146. M.H. Lin, Q.W. Wang, Remarks on Hua’s matrix equality involving generalized inverse, Linear Multilinear Algebra, 59 (9) (2011) 1059-1067.

147. I.A. Khan, Q.W. Wang, The Drazin inverses in an arbitrary semiring, Linear Multilinear Algebra, 59 (9) (2011) 1019-1029.

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) 333-350.

149. G.J. Song, Q.W. Wang, Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert C*-modules, Electron. J. Linear Algebra, l22 (2011) 1070-1084.

150. G.J. Song, Q.W. Wang, Condensed Cramer rule for some restricted quaternion linear equations, Appl. Math. Comput., 218 (2011) 3110-3121.

151. Q.W. Wang, G.H. Yu, On the maximal nullity of unicyclic graphs with fixed girth, Utilitas Mathematics, 86 (2011) 217-223.

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) 2761-2771.

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) 443-462.

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) 9286-9296.

155. F. O. Farid, Q.W. Wang, Fuzhen Zhang, On the eigenvalues of quaternion matrices, Linear Multilinear Algebra, 59 (4) (2011) 451-473.

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) 1576-1589.

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) 333-346.

158. Q.W. Wang, Jing Jiang, Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation, Electron. J. Linear Algebra, 20 (2010) 552-573.

159. Israr Ali Khan, Q.W. Wang, G.J. Song, Minimal ranks of some quaternion matrix expressions with applications, Appl. Math. Comput., 217 (2010) 2031-2040.

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) 1481-1489.

161. Q.W. Wang, Z. C. Wu, Common Hermitian solutions to some operator equations on Hilbert C*-modules, Linear Algebra Appl., 432 (2) (2010) 3159-3171.

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) 73-82.

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) 345-360.

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) 2291-2303.

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) 289-301.

166. Q.W. Wang, S.W. Yu, The real solution to a system of quaternion matrix equations with applications, Commun. Algebra, 37 (6) (2009) 2060-2079.

167. Q.W. Wang, C.K. Li, Ranks and the least-norm of the general solution to a system of quaternion matrix equations, Linear Algebra Appl., 430 (2009) 1626-1640.

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) 343-358.

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) 293-308.

170. Q.W. Wang, F. Zhang, The reflexive re-nonnegative definite solution to a quaternion matrix equation, Electron. J. Linear Algebra, 17 (2008) 88-101.

171. Q.W. Wang, G.J. Song, C.Y. Lin, Rank equalities related to the generalized inverse with applications, Appl. Math. Comput., 205 (2008) 370-382.

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) 209-226.

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) 721-732.

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) 733-744.

175. Q.W. Wang, H.X. Chang, etc., On the centro-symmetric solution of a system of matrix equations over a regular ring with identity, Algebra Colloq., 14 (4) (2007) 555-570.

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) 1517-1532.

177. Q.W. Wang, F. Qin, A system of matrix equations over regular rings, Indian J. Pure Appl. Math., 38 (6) (2007) 517-532.

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) 1755-1764.

179. Q.W. Wang, The general solution to a system of real quaternion matrix equations, Comput. Math. Appl., 49 (5-6) (2005) 665-675.

180. Q.W. Wang, Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations, Comput. Math. Appl., 49/5-6 (2005) 641-650.

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) 323-334.

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) 655-672.

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) 43-54.

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) 169-182.

 

Selected Research Projects (2007-Present)

1.     2024-2027, the National Natural Science Foundation of China, Project Director.

2.     2020-2023, the National Natural Science Foundation of China, Project Director.

3.     2016-2019, the National Natural Science Foundation of China, Project Director.

4.     2012-2015, the National Natural Science Foundation of China, Project Director.

5.     2013-2015, the Key Project of Scientific Research Innovation Foundation of Shanghai Municipal Education Commission, Project Director.

6.     2012-2014, the Discipline Project at the corresponding level of Shanghai, Project Director.

7.     2011-2014, the National Natural Science Foundation of Shanghai, Project Director.

8.     2010-2012, the Ph.D. Programs Foundation of Ministry of Education of China, Project Director.

9.     2011-2012, Magnolia Science and Technological Talent Foundation of Shanghai, Project Director.

10.     2009-2011, the Scientific Research Innovation Foundation of Shanghai Municipal Education Commission, Project Director.

11. 2009-2010, the 2010 President’s Faculty Research and Development Grant FY 2010 Competition, USA (Co-PI).  

12. 2007-2009, the National Natural Science Foundation of China, Project Director.

13. 2007-03-2007-09, 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 12-14, 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 20-23, 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 21-23, 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 12-15, 2024.

5. Invited to participate to the “2024 Workshop on Matrices and Operators” held at University of Nevada, USA, June 14-17, 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 3-6, 2024.

7. Invited to participate to the “Workshop on Algebra, Combinatorics, and Graph Theory” held at Xiangtan University, Xiangtan, China, May 24-27, 2024.

8. Invited to participate to the “SIAM Conference on Applied Linear Algebra (LA24)” held at Paris, France, May 13-17, 2024.

9. Member of the scientific organizing committee of “The 4th International Conference on Quaternion Matrix Computation and Applications” held at Xuzhou, China, May 10-13, 2024.

10. Chair of the scientific organizing committee of “2023 China-Korea-Japan International Conference on Matrix Theory with Applications & The 7th International Conference on Matrix Inequalities and Matrix Equations” held at Nanchang, China, December 1-4, 2023.

11. Member of the scientific organizing committee of the invited mini-symposium “Matrix Analysis and Its Applications”  for “10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)” held at Tokyo, Japan, August 20-25, 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 15-18, 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 2-5, 2023.

14. Member of the scientific organizing committee of “International Workshop on Matrix Analysis and Its Applications” held at Quynhon, Vietnam, July 7-8, 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 1-5, 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 15-17, 2022.

17. Chair of “2021 China-Korea-USA International Conference on Matrix Theory” held at Hainan Normal University, Haikou, China, November 26-27, 2021.

18. Chair of “The 6th International Conference on Matrix Equations and Matrix Inequalities with applications” held at Hainan Normal University, Haikou, China, November 26-27, 2021.

19. Chair of “The 2021 Chinese Higher Education Association’s Committee for Education Mathematics Conference” held at Lanzhou Jiaotong University, China, July 21-24, 2021.

20. Member of the scientific organizing committee of “2021 National Workshop on Graph and Matrix” held at Qinghai University for Nationalities, China, July 18-20, 2021.

21. Chair of “Workshop on Algebra and Statistics” held at Shanghai University, China, June 10-13, 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 29-August 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 23-27, 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 15-18, 2019.

26. Member of the scientific organizing committee of the invited mini-symposium Matrix Inequalities and Matrix Equations for “The 2019 International Linear Algebra Society Conference (ILAS 2019)” held at Rio de Janeiro, Brazil, July 8-12, 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 23-27, 2019.

28. Chair of “2019 International Conference on Matrix Inequalities and Matrix Equations” held at Guilin University of Electronic Technology, Guilin, China, 7-10 June, 2019.

29. Chair of “2018 China-Korea International Conference on Matrix Theory with Applications- IRCTMT-AORC Joint Meeting (ICMTA2018)”, held at Shanghai University, December 17-20, 2018.

30. Chair of “2018 International Conference on Matrix Inequalities and Matrix Equations” held at Shanghai University, China, 8-10 June, 2018.

31. Member of the scientific organizing committee of “2018 International Workshop on Matrices and Operators”, held at Shanghai University, China, June 15-18, 2018.

32. Member of the scientific organizing committee of “The 7th International Conference on Matrix Analysis and Applications” held at Shinshu University, Nagano-Engineering Campus that is located in Nagano Prefecture, Japan, June 22-25, 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 17-22, 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 14-18, 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 11-13, 2017.

36. Member of the scientific organizing committee of the mini-symposium Solving Matrix Equations for “The 2017 International Linear Algebra Society Conference (ILAS 2017)” held at Iowa State University, Ames, Iowa, USA, July 24-28, 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 15-18, 2017.

38. Chair of “2017 International Workshop on Matrix Inequalities and Matrix Equations” held at Shanghai University, China, 6-8 June, 2017.

39. Member of the scientific organizing committee of “2017 Korea-China International Conference on Matrix Theory with Applications- AORC-IRCTMT Joint Meeting (ICMTA2017)”, held at Sungkyunkwan University Suwon, Korea, December 14-17, 2017

40. Chair of “2016 China-Korea International Conference on Matrix Theory with Applications-IRCTMT-AORC Joint Meeting (ICMTA2016)” held at Shanghai University,  Shanghai, China, December 28-31, 2016

41. Chair of “2016 International Workshop on Matrix Inequalities and Matrix Equations” held at Shanghai University, China, 8-10 June, 2016.

42. Chair of “2016 International Workshop on Tensor and Matrix with Applications” held at Shanghai University, China, 18-19 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 20-24, 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 17-20, 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 20-23, 2015.

46. Chair of “2015 International Workshop on Matrix Inequalities and Matrix Equations” held at Shanghai University, Shanghai, China, 28-30 June, 2015.

47. Chair of “2014 Shanghai International Conference on Matrix Analysis and Applications (SICMAA2014)” held at Shanghai University, China, Dec.14-16.

48. Chair of “2013 Shanghai International Conference on Matrix Analysis and Applications (SICMAA2013)” held at Shanghai University, China, Dec.27-29, 2013.

49. Member of The scientific organizing committee of “The 4th International Conference on Matrix Analysis and Applications”held at Konya, Turkey, July 2-5, 2013.

50. Chair of “2012 International Conference on Coding, Cryptography and Matrix Theory” held at Shanghai, Dec 14-16, 2012.

51. Chair of “International Workshop on Coding and Cryptography” held at Shanghai, May 11-13, 2012.

52. Member of the scientific organizing committee of the “The 7th workshop on Matrices and Operators" held at Harbin, Heilongjiang, China, July 13-16, 2012.

53. Chair of local organization of “The 9th International Conference on Matrix Theory and its Applications”, held at Shanghai University, Shanghai, China, July 19-22, 2010.

54. Chair of Program Committee of “International Workshop on Coding and Cryptography” held at Sichuan Normal University, Chengdu, China, August 16-21, 2010.

55. Chair of local organization committee of “2009 Shanghai International Conference on Matrix Theory” held at Shanghai University, Shanghai, China, July 14-15, 2009.

56. Member of Scientific organizing committee of “The 3rd International Workshop on Matrix Analysis and Applications” held at Linan, Zhejiang, China, July 9-13, 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 12-14, 2024. (Invited talk)

58. Generalized Hand-Eye Calibration Equations and Their Applications, “2024 International Conference on Dual Quaternion Theory and Applications” held at Guangxi Minzu University, Nanning, China, September 20-23, 2024. (Plenary talk)

59. Construction of First-Class 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 21-23, 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 12-15, 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 14-17, 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 24-27, 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 10-13, 2024. (Plenary talk)

64. Some new results on Sylvester-type generalized commutative quaternion matrix equation, “10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)” held at Tokyo, Japan, August 20-25, 2023. (Invited talk)

65. A constrained Sylvester-type generalized commutative quaternion matrix equation, “The 14th International Conference on Matrix Theory and its Applications” held at Kunming, China, August 15-18, 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 21-26, 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 18-19, 2023. (Keynote talk)

68. The η-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation, “25th Conference of the International Linear Algebra Society” held at Madrid, Spain, June 12-16, 2023. (Invited talk)

69. Sylvester-type Hamilton quaternion matrix and tensor equations, “The 9th International Conference on Matrix Analysis and Applications (ICMAA 2022)” held at University of Aveiro, Portugal, June 15-17, 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 26-27, 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 30-31, 2021. (Plenary talk)

73. Systems of quaternion matrix and tensor equations, “The 5th China-Brazil Symposium on Applied and Computational Mathematics” held at Dongguan, China, August 23-24, 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 18-20, 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 25-28, 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 17-21, 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 14-17, 2021. (Plenary talk)

78. Sets of matrix and tensor equations over the quaternions, “2021 Southeast University Algebra Symposium” held at Southeast University, China, April 23-26, 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 8-10, 2021. (Plenary talk)

80. Sylvester-type quaternion equations with applications, “2020 workshop on generalized inverses” held at Yangzhou University, China, Dec. 4-6, 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. 31-Nov. 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 8-12, 2019. (Invited talk in the invited mini-symposium 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 8-12, 2019. (Invited talk in mini-symposium symbolic-numeric methods in Matrix Theory)

84. The new developments of Sylvester-like 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 15-18, 2019. (Invited talk)

85. The Sylvester-like matrix equations with applications, “International Conference on Matrix Theory and Applications: Combinatorics, Optimization & Data Analysis-2019 Joint Conference of AORC-IRCTMT-IDEaS” held at Jeju National University Jeju, Korea, May23-27, 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 23-27, 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 29-August 31, 2019. (Invited talk)

88. Some developments of Sylvester-type matrix equations over an arbitrary division ring, “2017 Korea-China International Conference on Matrix Theory with Applications-AORC-IRCTMT Joint Meeting (ICMTA2017)” held at Sungkyunkwan University Suwon, Korea，December 14-17, 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 11-13, 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 14-18, 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 25-28, 2017. (Invited talk)

93. Some systems of Sylvester-like 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 24-28, 2017. (Invited talk in the mini-symposium Solving Matrix Equations)

94. The investigations on some Sylvester-type matrix equations, “The 6th International Conference on Matrix Analysis and Applications” held at Duy Tan University, Danang city, Vietnam, June 15-18, 2017. (Invited talk)

95. Sylvester-type 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 20-24, 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 17-20, 2015. (Invited talk)

97. Systems of coupled generalized Sylvester matrix equations, “The 19th International Linear Algebra Society Conference (ILAS 2014)” held in Korea, August 6-9, 2014. (Invited talk in the Session Solution of Sylvester-like equations and canonical forms)

98. Systems of coupled generalized Sylvester matrix equations, “The workshop of numerical algebra” held at Peking University, China, Nov. 2-5, 2013. (Plenary talk)

99. Some new developments of matrix equations, “The 7th workshop on Matrices and Operators” held at Harbin, Heilongjiang, China, July 13-16, 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 19-22, 2010. (Plenary talk)

101. A system of real quaternion matrix equations with applications, “International Conference in Mathematics and Application” held at Bangkok, Thailand, December 17-19, 2009. (Invited talk)

102. Linear matrix equations with applications, “International Conference on Algebra and Geometry” held at Royal Phuket, Thailand, 2009, Dec. 20-22, 2009. (Invited talk)

103. Systems of linear matrix equations, “The 3rd International Workshop on Matrix Analysis and Applications” held at Linan, China, July 9-13, 2009. (Plenary talk)

104. The investigations of quaternion matrix equations with applications, “The International Conference on Algebra and Related Topics” held at Guangzhou, June 24-27, 2009. (Invited talk)

105. The reflexive Re-positive 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 8-9, 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

1.   2019.04-present, member of the Scientific Advisory Board of The Applied algebra and Optimization Research Center which was established at Sunkyunkwan University and funded by National Research Foundation of Korea and the Ministry of Science, ICT and Future Planning of Korea

2.   2018.07-present, President of the Chinese Higher Education Association’s Specialized Committee for Education Mathematics

3.   2005.05-2018.11, Head of Department of Mathematics, Shanghai University

4.   2016.05-present, Director of International Research Center for Tensor and Matrix Theory of Shanghai University

5.   2008.05-present, Executive Director of the Institute of Core Mathematics in Shanghai University

6.   2009.06-present, 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  Editor-in-Chief of International Journal of Mathematics and Computers in Simulation

l  Editor-in-Chief of Advances in Linear Algebra & Matrix Theory

l  Editor-in-Chief of Surveys in Mathematics and Mathematical Sciences

l  Mathematics

l  Symmetry

l  Annals of Functional Analysis (2010-2024)

l  Special Matrices

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  Pure Mathematics

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 (2011-2021)

l  Journal of Applied Mathematics (2011-2021)

l  Mathematical Problems in Engineering (2011-2018)

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)

2)   Acta Math. Sinica

3)   Acta Mathematica Scientia

4)   Advances in Applied Clifford Algebras

5)   Advances in Differential Equations

6)   Advances in Pure Mathematics

7)   Algebra Colloquium

8)   Applied Mathematics and Computation

9)   Applied Mathematics Letters

10) Applied Numerical Mathematics

11) Applied Mathematics and Mechanics

12) Automatica

13) Asian Journal of Control

14) Asian-European 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 Institute-Engineering 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

59) Northeast. Math. J.

60) Numerical Algorithms

61) Numerical Linear Algebra with Applications

62) Open Mathematics

63) Operators and Matrices

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）

70) Result in Mathematics

71) Science China Mathematics

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

81) Demonstratio Mathematica

82) Arabian Journal of Mathematics

83) Electronic Research Archive

84) Axioms

85) Journal of New Theory

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 deep-set fundament of algebra and matrix theory

Subjects for the entrance examination     Choose any two among the following: ·         Matrix Algebra   Reference: Fuzhen Zhang, Matrix Theory--Basic Results and Techniques, Springer-Verlag 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, Springer-Verlag New York INc., Second Edition, 1980.

Some Links

²   Shanghai University

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), Sungkyunkwan University, Korea

²   Homepage of Delin Chu ²   Homepage of Chi-Kwong Li ²   Homepage of Liqun Qi ²   Homepage of Michael Kwok-Po NG ²   Homepage of Tin-Yau Tam ²   Homepage of Fuzhen Zhang

²   Wikipedia

²   Excelent Course of Shanghai

²   SIAM Journals

²   Mathematics Journals on the Web

²  　Front for the Mathematics ArXiv(Preprints)

²   ArXiv

²   MathSearch

²   Mathematical Preprints

²   Math World

²   Acta Math. Sinica

²   ELECTRONIC Journal of LINEAR ALGEBRA

²   Automatica 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    ILAS Publications ²   Linear Algebra Related Conferences ²   AMS Mathematics Subject Classification ²   Abbreviations of Names of Serials ²  Tex mathematical symbols ²  Mathematics Genealogy ²  American Mathematical Society ²  MathSciNet ²   Society for Industrial and Applied Mathematics ²   International Linear Algebra Society