上海领军人才

上海大学二级教授、博士生导师、伟长学者

中国高等教育学会教育数学专业委员会理事长

上海大学张量与矩阵理论国际研究中心主任

邮箱：wqw@shu.edu.cn

电话：+862166135655

办公室: F521

英文主页: https://math.shu.edu.cn/Portals/721/teacher/Qing-WenWang/Qing-WenWang.htm

研究领域：线性和多重线性代数、矩阵理论及应用、量子计算、数值代数、四元数统计

教育经历与工作经历：

中国科学技术大学基础数学博士、上海大学二级教授、博士生导师、伟长学者、上海领军人才。2005-2018任上海大学数学系主任，现任中国高等教育学会教育数学专业委员会理事长、上海大学张量与矩阵理论国际研究中心主任、世界华人数学家联盟成员、韩国成均馆大学应用代数与优化研究中心学术委员、中国高等教育学会理事、中国数学会理事、上海市数学会常务理事、上海市学位委员会第五届学科评议组成员、多个国际数学期刊的主编及编委。

获首届吴兴华数学奖、宝钢优秀教师奖、王宽诚育才奖、上海市育才奖、上海市高等学校优秀教材奖、上海市自然科学奖三等奖、广西自然科学二等奖、三次获上海市级教学成果奖一等奖。

主要研究矩阵代数、量子计算。近年来在高等教育出版社、科学出版社等出版学术著作4部，在Automatica等国际著名学术期刊上发表学术论文150多篇，连续8次入选中国高被引学者，入选全球前2%顶尖科学家“终身科学影响力排行榜（1960-2022）”、“全球顶尖前10万科学家”；负责国际合作项目、国家自然科学基金项目、教育部博士点基金项目和上海市自然科学基金项目等20多项；担任大型国际学术会议的主席、学术委员及在大型国际学术会议作大会报告和邀请报告30多次。

曾在新加坡、荷兰、美国、英国、加拿大、巴西、墨西哥、韩国、土耳其、越南、香港、澳门、台湾等国家和地区的20多所著名高校访问和科学合作研究。

主持首批国家级一流本科课程1门、上海市一流本科课程1门、上海市级精品课程2门、上海市优质在线视频课程1门。

已培养博士后10人、博士29人、硕士52人。所培养的研究生多人获上海市研究生优秀成果奖（优秀博士论文、优秀硕士论文）及国家研究生奖学金。

代表性科研项目：

1. 国家自然科学基金面上项目, 四元数代数上的张量方程及应用, 2020-2023, 在研, 主持

2. 国家自然科学基金面上项目, 非交换代数上的代数方程及应用, 2015-2019, 结题, 主持

3. 国家自然科学基金面上项目，双四元数矩阵代数及其应用，2011-2014，结题, 主持

4. 国家自然科学基金面上项目，四元数矩阵的同时分解及图像压缩，2007-2009，结题, 主持

5. 国家自然科学基金专项，第十四届国际线性代数会议，2007，结题, 主持

6. 教育部博士点基金项目，除环上矩阵的同时变换及阵列传感器的降噪，2010-2012，结题, 主持

7. 荷兰科技部国际合作项目，除环上的线性矩阵方程，2007，结题, 主持

代表性论著：

1.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.

2.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.

3.Y.F. Xu, Q.W. Wang, L.S. Liu, Mahmoud S. Mehany, A constrained system of matrix equations, Computational and Applied Mathematics, 41 (4) (2022) DOI: 10.1007/s40314-022-01873-8.

4.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.

5.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.

6.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.

7.Mahmoud S. Mehany, Q.W. Wang, Three Symmetrical Systems of Coupled Sylvester-like Quaternion Matrix Equations, Symmetry, 14 (3) (2022) DOI: 10.3390/sym14030550.

8.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.

9.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.

10.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.

11.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.

12.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.

13.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.

14.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.

15.D. Cvetković-Ilić, Q.W. Wang, Y.M. Wei, Different completions of A plus CX, J. Spectr. Theor., 11 (3) (2021) 905–914 DOI: 10.4171/JST/356.

16.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.

17.X.F. Zhang, Q.W. Wang, Developing iterative algorithms to solve Sylvester tensor equations, Appl. Math. Comput., 409 (2021) 126403.

18.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.

19.X.J. Xu, Q.W. Wang, On the solutions of a class of tensor equations, Linear Multilinear Algebra, (2021) DOI: 10.1080/03081087.2021.1948492.

20.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.

21.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.

22.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.

23.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.

24.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.

25.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.

26.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.

27.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.

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

29.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,(2020) DOI: 10.1080/03081087.202

0.1779172.

30.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.

31.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.

32.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.

33.D. Cvetković-Ilić, 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.

34.C. Song, Q.W. Wang, Modified CGLS Iterative Algorithm for Solving the Generalized Sylvester-Conjugate Matrix Equation, Filomat, 34 (4) (2020) 1329–1346.

35.A. Farouk, Q.W. Wang, An Infinite Family of Hadamard Matrices Constructed From Paley Type Matrices, Filomat, 34 (3) (2020) 815–834.

36.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.

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

38.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.

39.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.

40.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.

41.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.

42.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.

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

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

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

46.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.

47.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.

48.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.

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

50.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.

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

52.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.

53.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.

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

55.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.

56.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.

57.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.

58.L. Li, Q.W. Wang, S.Q. Shen, M. Li, Quantum-memory-assisted entropic uncertainty relations under weak measurements, Quantum Inf. Process., (2017) 16:188.

59.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.

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

61.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.

62.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.

63.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.

64.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.

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

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

67.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.

68.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.

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

70.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.

71.L. Li, Q.W. Wang, S.Q. Shen, M. Li, Measurement-induced nonlocality based on Wigner-Yanase skew information, EPL, 114 (2016) 10007.

72.L. Wang, Q.W. Wang, Z.H. He, The Common Solution of Some Matrix Equations, Algebra Colloq., 23 (1) (2016) 71–81.

73.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.

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

75.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.

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

77.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.

78.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.

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

80.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.

81.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.

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

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

84.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

85.J. Yu, Q.W. Wang, C.Z. Dong, (Anti-)Hamiltonian solution to a system of matrix equations, Math. Problems in Engin., Volume 2014, Article ID 539215.

86.Y. Lin, Q.W. Wang, Generalized reflexive and generalized anti-reflexive solutions to a system of matrix equations, J. Appl. Math., Volume 2014, Article ID 352327.

87.Q.W. Wang, Z.H. He, Solvability conditions and general solution for mixed Sylvester equations, Automatica, 49 (2013) 2713–2719.

88.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.

89.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.

90.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.

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

92.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.

93.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, Article ID 528281.

94.Z.H. He, Q.W. Wang, A real quaternion matrix equation with applications, Linear Multilinear Algebra, 61 (6) (2013) 725–740.

95.Y. Lin, Q.W. Wang, Iterative solution to a system of matrix equations, Abstract Appl. Anal., Volume 2013, Article ID 124979, DOI: 10.1155/2013/124979.

96.Q.W. Wang, Z.H. He, A system of matrix equations and its applications, Sci. China Math., 56 (9) (2013) 1795–1820.

97.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., Volume 2013, Article ID 831656, DOI: 10.1155/2013/831656.

98.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.

99.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.

100.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., Volume 2013 (2013), Article ID 217540.

101.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.

102.Y. Lin, Q.W. Wang, Completing a 2 x 2 block matrix of real quaternions with a partial specified inverse, J. Appl. Math., Volume 2013, Article ID 271978, DOI: 10.1155/2013/271978.

103.H.X. Chang, X.F. Duan, Q.W. Wang, The Hermitian R-conjugate Procrustes problem, Abstract Appl. Anal., Volume 2013, Article ID 423605, DOI: 10.1155/2013/423605.

104.Q.W. Wang, Z.H. He, Some matrix equations with applications, Linear Multilinear Algebra, 60 (11-12) (2012) 1327–1353.

105.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.

106.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.

107.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.

108.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.

109.Q.W. Wang, J. Yu, Constrained solutions of a system of matrix equations, J. Appl. Math., Volume 2012, Article ID 471573, DOI: 10.1155/2012/471573.

110.X.F. Duan, Q.W. Wang, Perturbation analysis for the matrix equation, J. Appl. Math., Volume 2012, Article ID 784620, DOI: 10.1155/2012/784620.

111.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.

112.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.

113.C.Z. Dong, Q.W. Wang, Y.P. Zhang, On the Hermitian R-conjugate solution of a system of matrix equations, J. Appl. Math., Volume 2012, Article ID 398085, DOI: 10.1155/2012/398085.

114.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.

115.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.

116.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.

117.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.

118.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.

119.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.

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

121.Israr Ali Khan, Q.W. Wang, The Drazin inverses in an arbitrary semiring, Linear Multilinear Algebra, 59 (9) (2011) 1019–1029.

122.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.

123.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.

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

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

126.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.

127.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.

128.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.

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

130.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.

131.D.Z. Lian, Q.W. Wang, Y. Tang，Extreme ranks of a partial banded block quaternion matrix expression subject to some matrix equations with applications, Algebra Colloq., 18 (2) (2011) 333–346.

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

133.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.

134.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.

135.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.

136.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.

137.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.

138.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.

139.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.

140.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.

141.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.

142.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.

143.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.

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

145.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.

146.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.

147.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.

148.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.

149.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.

150.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.

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

152.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.

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

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

155.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.

156.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.

157.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.

158.Q.W. Wang, J.H. Sun and 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.

最后更新日期：2022.10.22