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王卿文

中國矩陣代數專家

王卿文,男,山東人,中國矩陣代數領域的主要專家之一,上海大學二級教授、博士生導師、偉長學者、上海領軍人才中國科學技術大學基礎數學博士,師從數學家李尚志教授。

人物經歷


2005-2018任上海大學數學系主任。
2006年迄今,受對方資助,先後在新加坡國立大學、荷蘭Delft理工大學、新加坡南洋理工大學科學合作研究8次。
2018年7月19日至20日中國高等教育學會教育數學專業委員會會員大會暨2018年學術年會在哈爾濱舉行,選舉上海領軍人才、上海大學王卿文教授為第四屆專委會理事長,理事會秘書處掛靠上海大學。
曾在新加坡荷蘭、美國、英國、加拿大、巴西、墨西哥、韓國、土耳其越南等國家和地區的20多所著名高校訪問和科學合作研究。

主要成就


研究領域

線性和多重線性代數矩陣理論及應用、量子計算、數值代數、四元數統計

科研成果

高等教育出版社科學出版社等出版學術著作三部,在Automatica等國際著名學術期刊上發表學術論文140多篇,連續七次入選中國高被引學者,入選全球前2%頂尖科學家終身科學影響力排行榜;負責國際合作項目、國家自然科學基金項目、教育部博士點基金項目和上海市自然科學基金項目等20多項;擔任大型國際學術會議的主席、學術委員及在大型國際學術會議作大會報告和邀請報告30多次。

教學活動

主持首批國家級一流本科課程1門、上海市級精品課程2門、上海市優質在線視頻課程1門。

出版著作

王卿文編著. 線性代數核心思想及應用. 北京: 科學出版社,2012.4
王卿文、楊建生主編. 線性代數. 北京: 高等教育出版社,2012.
王卿文、楊建生主編. 線性代數學習指導. 北京: 高等教育出版社,2016.

代表科研項目

● ● 國家自然科學基金面上項目,四元數代數上的張量方程及應用,2020-2023,在研,主持
● ● 國家自然科學基金面上項目,非交換代數上的代數方程及應用,2015-2019,結題,主持
● ● 國家自然科學基金面上項目,雙四元數矩陣代數及其應用,2011-2014,結題,主持
● ● 國家自然科學基金面上項目,四元數矩陣的同時分解及圖像壓縮,2007-2009,結題,主持
● ● 國家自然科學基金專項,第十四屆國際線性代數會議,2007,結題,主持
● ● 教育部博士點基金項目,除環上矩陣的同時變換及陣列感測器的降噪,2010-2012,結題,主持
● ● 荷蘭科技部國際合作項目,除環上的線性矩陣方程,2007,結題,主持

代表性論文

● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● M. Xie, Q.W. Wang, Reducible solution to a quaternion tensor equation, Front. Math. China, 15 (5) (2020) 1047–1070.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● C. Song, Q.W. Wang, Modified CGLS Iterative Algorithm for Solving the Generalized Sylvester-Conjugate Matrix Equation, Filomat, 34 (4) (2020) 1329–1346.
● ● A. Farouk, Q.W. Wang, An Infinite Family of Hadamard Matrices Constructed From Paley Type Matrices, Filomat, 34 (3) (2020) 815–834.
● ● 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.
● ● H.H. Zhu, Q.W. Wang, Weighted pseudo core inverses in rings, Linear Multilinear Algebra, 68 (12) (2020) 2434-2447.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● D. S. Cvetkovi?-Ili?, J. N. Radenkovi?, Q.W. Wang, Algebraic conditions for the solvability to some systems of matrix equations, Linear Multilinear Algebra, (2019) DOI: 10.1080/03081087.2019.16339 93.
● ● 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.
● ● Q.W. Wang, Z.H. He, Y. Zhang, Constrained two-sided coupled Sylvester-type quaternion matrix equations, Automatica, 101 (2019) 207–213.
● ● Z.H. He, Q.W. Wang, Y. Zhang, A simultaneous decomposition for seven matrices with application, J. Comput. Appl. Math., 349 (2019) 93–113.
● ● Q.W. Wang, X.J. Xu, Iterative algorithms for solving some tensor equations, Linear Multilinear Algebra, 67 (7) (2019) 1325–1349.
● ● 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.
● ● 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.
● ● 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.
● ● Z.H. He, Q.W. Wang, Y. Zhang, A system of quaternary coupled Sylvester-type real quaternion matrix equations, Automatica, 87 (2018) 25–31.
● ● 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.
● ● S.W. Huang, Q.W. Wang, Y. Zhang, Equivalence on some Rotfel’d type theorems, Linear Multilinear Algebra, 66 (8) (2018) 1626–1632.
● ● 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.
● ● 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.
● ● J.T. Liu, Y.T. Poon, Q.W. Wang, A generalized H?lder type eigenvalue inequality, Linear Multilinear Algebra, 65 (10) (2017) 2145–2151.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● S.W. Huang, Q.W. Wang, A note on Rotfel’d Theorem in a sector, Linear Multilinear Algebra, 65(8) (2017)1655–166.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● Z.H. He, Q.W. Wang, A System of periodic discrete-time coupled Sylvester quaternion matrix equations, Algebra Colloq., 24 (1) (2017) 169–180.
● ● Q.W. Wang, A. Rehman, Z.H. He, Y. Zhang, Constraint generalized Sylvester matrix equations, Automatica, 69 (2016) 60–64.
● ● 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.
● ● 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.
● ● S.F. Yuan, Q.W. Wang, L-structured quaternion matrices and quaternion linear matrix equations, Linear Multilinear Algebra, 64 (2) (2016) 321–339.
● ● 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.
● ● L. Li, Q.W. Wang, S.Q. Shen, M. Li, Measurement-induced nonlocality based on Wigner-Yanase skew information, EPL, 114 (2016) 10007.
● ● L. Wang, Q.W. Wang, Z.H. He, The Common Solution of Some Matrix Equations, Algebra Colloq., 23 (1) (2016) 71–81.
● ● 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.
● ● Z.H. He, Q.W. Wang, The general solutions to some systems of matrix equations, Linear Multilinear Algebra, 63 (10) (2015) 2017–2032.
● ● 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.
● ● Q.W. Wang, Z.H. He, Systems of coupled generalized Sylvester matrix equations, Automatica, 50 (2014) 2840–2844.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● Q.W. Wang, X. Zhang, Y. Zhang, Algorithms for finding the roots of some quadratic octonion equations, Commun. Algebra, 42 (2014) 3267–3282.
● ● J. Zhang, Q.W. Wang, An explicit formula for the generalized cyclic shuffle map, Canad. Math. Bull., 57 (1) (2014) 210–223.
● ● 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
● ● 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.
● ● 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.
● ● Q.W. Wang, Z.H. He, Solvability conditions and general solution for mixed Sylvester equations, Automatica, 49 (2013) 2713–2719.
● ● 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.
● ● 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.
● ● 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.
● ● S.F. Yuan, Q.W. Wang, Z.P. Xiong, Linear parameterized inverse eigenvalue problem of bisymmetric matrices, Linear Algebra Appl., 439 (2013) 1990–2007.
● ● 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.
● ● 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.
● ● Z.H. He, Q.W. Wang, A real quaternion matrix equation with applications, Linear Multilinear Algebra, 61 (6) (2013) 725–740.
● ● 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.
● ● Q.W. Wang, Z.H. He, A system of matrix equations and its applications, Sci. China Math., 56 (9) (2013) 1795–1820.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● Q.W. Wang, Z.H. He, Some matrix equations with applications, Linear Multilinear Algebra, 60 (11-12) (2012) 1327–1353.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● M.H. Lin, Q.W. Wang, Remarks on Hua’s matrix equality involving generalized inverse, Linear Multilinear Algebra, 59 (9) (2011) 1059–1067.
● ● Israr Ali Khan, Q.W. Wang, The Drazin inverses in an arbitrary semiring, Linear Multilinear Algebra, 59 (9) (2011) 1019–1029.
● ● 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.
● ● 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.
● ● G.J. Song, Q.W. Wang, Condensed Cramer rule for some restricted quaternion linear equations, Appl. Math. Comput., 218 (2011) 3110–3121.
● ● Q.W. Wang, G.H. Yu, On the maximal nullity of unicyclic graphs with fixed girth, Utilitas Mathematics, 86 (2011) 217–223.
● ● 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.
● ● 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.
● ● 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.
● ● F. O. Farid, Q.W. Wang, Fuzhen Zhang, On the eigenvalues of quaternion matrices, Linear Multilinear Algebra, 59 (4) (2011) 451–473.
● ● 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.
● ● 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.
● ● Q.W. Wang, Jing Jiang, Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation, Electron. J. Linear Algebra, 20 (2010) 552–573.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● Q.W. Wang, F. Zhang, The reflexive re-nonnegative definite solution to a quaternion matrix equation, Electron. J. Linear Algebra, 17 (2008) 88–101.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● 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.
● ● Q.W. Wang, F. Qin, A system of matrix equations over regular rings, Indian J. Pure Appl. Math., 38(6) (2007) 517–532.
● ● 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.
● ● Q.W. Wang, The general solution to a system of real quaternion matrix equations, Comput. Math. Appl., 49/5-6 (2005) 665–675.
● ● Q.W. Wang, Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations, Comput. Math. Appl., 49/5-6 (2005) 641–650.
● ● 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.
● ● 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.
● ● 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.
● ● 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.

人才培養

已培養博士后10人、博士26人、碩士50人。所培養的研究生多人獲上海市研究生優秀成果獎(優秀博士論文、優秀碩士論文)及國家研究生獎學金。

社會任職


中國高等教育學會教育數學專業委員會理事長、上海大學張量與矩陣理論國際研究中心主任、上海大學核心數學研究所執行所長、世界華人數學家聯盟成員、韓國成均館大學應用代數與優化研究中心學術委員、中國高等教育學會理事、中國數學會理事、上海市數學會常務理事、上海市學位委員會第五屆學科評議組成員、多個國際數學期刊的主編及編委。

獲得榮譽


獲首屆吳興華數學獎、寶鋼優秀教師獎、王寬誠育才獎、上海市育才獎、上海市高等學校優秀教材獎、上海市自然科學獎三等獎、廣西自然科學二等獎、兩次獲上海市級教學成果獎一等獎。