Research
Current Research Interests l Matrix theory and linear algebra l Operator theory l Signal processing |
Selected Published Books (2010-Present) l
Q.W.
Wang, J.S. Yang, etc., The Guidance for Linear Algebra, Higher
Education Press, Beijing, 2016. l
Q.W.
Wang, The key ideas
of linear algebra with applications, Scientific Press,
Beijing, 2012. l
Q.W.
Wang, J.S. Yang, etc., Linear Algebra, Higher
Education Press, Beijing, 2012. l E.X. Jiang, Q.W. Wang, C.Q. Gu, Q. Zhang, Proceedings of the Ninth International Conference on Matrix Theory
and its Applications, Volume 1-4, World Academic Union, UK, 2010. |
Selected Published SCI Papers (2002-Present) 1. Z.H. He, Q.W. Wang, Y. Zhang, Simultaneous decomposition of
quaternion matrices involving η-Hermicity
with applications, Applied Mathematics
and Computation, 298 (2017) 13-35. 2.
Z.H. He,
Q.W. Wang, A System of periodic discrete-time coupled Sylvester quaternion
matrix equations, Algebra Colloquium,
24 (1) (2017) 169-180. 3. Z.H. He, Q.W. Wang, Y. Zhang, The complete equivalence canonical
form of four matrices over an arbitrary division ring, Linear and Multilinear Algebra, 2017,
http://dx.doi.org/10.1080/03081087.2017.1284740. 4.
Q.W. Wang,
A. Rehman, Z.H. He, Y. Zhang, Constraint
generalized Sylvester matrix equations, Automatica,
69 (2016) 60-64. 5.
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 and its Applications, 496 (2016) 549-593. 6. F.O. Farid, Z.H. He, Q.W. Wang, The consistency and the exact solutions to a system of matrix equations, Linear and Multilinear Algebra, 64 (11) (2016) 2133-2158.> 7.
S.F. Yuan,
Q.W. Wang, L-structured quaternion matrices and quaternion linear matrix
equations, Linear and Multilinear
Algebra, 64 (2) (2016) 321-339. 8.
L. Li,
Q.W. Wang, S.Q. Shen, M. Li, Geometric measure of quantum discord with weak
measurements, Quantum Information
Processing, 15 (1) (2016) 291-300. 9.
L. Li,
Q.W. Wang, S.Q. Shen, M. Li, Measurement-induced
nonlocality based on Wigner-Yanase skew information,
EPL, 114 (2016) 10007, doi: 10.1209/0295-5075/114/10007. 10. L. Wang, Q.W. Wang, Z.H. He, The Common
Solution of Some Matrix Equations, Algebra
Colloquium, 23 (1) (2016) 71-81. 11. S.W. Huang, C.K. Li, Y.T. Poon, Q.W. Wang, Inequalities on
generalized matrix functions, Linear
and Multilinear Algebra, 2016, DOI:10.1080/03081087.2016.1239690. 12. S.W. Huang, Q.W. Wang, A note on Rotfel’d
Theorem in a sector, Linear and
Multilinear Algebra, 2016, DOI: 10.1080/03081087.2016.1251544. 13. J.T. Liu, Q.W. Wang, F.F. Sun, Determinant inequalities involving
Hadamard product of positive definite matrices, Mathematical Inequalities &
Applications, accepted 2016. 14. X.R. Nie, Q.W. Wang, Y. Zhang, A system
of matrix equations over the quaternion algebra with applications, Algebra Colloquium, accepted, 2016. 15. L.J. Huang, Q.W. Wang, Y. Zhang, The Moore–Penrose inverses of matrices
over quaternion polynomial rings, Linear Algebra and Its Applications, 475 (2015) 45-61. 16. Z.H. He, Q.W. Wang, The general solutions to some systems of matrix
equations, Linear and Multilinear
Algebra, 63 (10) (2015) 2017-2032. 17. L. Li, Q.W. Wang, S.Q. Shen, On positive
definite solutions of the nonlinear matrix equations X±A^{∗}X^{q}A=Q, Applied Mathematics
and Computation, 271
(2015) 556-566. 18. A. Rehman, Q.W. Wang, A
system of matrix equations with five variables, Applied Mathematics and Computation, 271 (2015) 805-819. 19. A. Rehman, Q.W. Wang, Z. H. He, Solution to a system of real
quaternion matrix equations encompassing η-Hermicity,
Applied Mathematics and Computation
265 (2015) 945-957. 20. C.Z. Dong, Q.W. Wang, The {P,Q,k+1}-reflexive
solution to a system of matrix equations AX=C,
XB=D, Mathematical Problems in
Engineering, Volume 2015, Article ID 464385, 9 pages,
http://dx.doi.org/10.1155/2015/464385 21. Q.W. Wang, Z.H. He, Systems of coupled generalized Sylvester
matrix equations, Automatica, 50 (2014)
2840-2844. 22. X.F. Duan, Q.W. Wang, C.M. Li, Positive definite solution of a
class of nonlinear matrix equation, Linear and Multilinear Algebra, 62
(6) (2014) 839-852. 23. S.F. Yuan, Q.W. Wang, Z.P. Xiong, 24. 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. 25. 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. 26. Z.H. He, Q.W. Wang, The η-bihermitian solution to a system of
real quaternion matrix equations, Linear and Multilinear Algebra, 62
(11) (2014) 1509-1528. 27. Q.W. Wang, X. Zhang, Y. Zhang, Algorithms for finding the roots
of some quadratic octonion equations, Communications in Algebra, 42 (2014) 3267–3282. 28. X.F. Duan, J.F. Li, Q.W. Wang, X.J. Zhang, Low rank approximation
of the symmetric positive semidefinite matrix,
Journal of Computational and Applied Mathematics, 260 (2014) 236-243. 29. J. Zhang, Q.W. Wang, An explicit formula for the generalized
cyclic shuffle map, Canad. Math. Bull. Vol. 57 (1) (2014) 210-223. 30. J. Yu, Q.W. Wang, C.Z. Dong, (Anti-)Hamiltonian solution to a
system of matrix equations, Mathematical
Problems in Engineering, Volume 2014, Article ID 539215, 13 pages 31. Y. Lin, Q.W. Wang, Generalized reflexive and generalized antireflexive solutions to a system of matrix equations, Journal of Applied Mathematics, Volume
2014, Article ID 352327, 9 pages. 32. Q.W. Wang, Z.H. He, Solvability conditions and general solution
for mixed Sylvester equations, Automatica,
49 (2013) 2713-2719. 33. X. Liu, Q.W. Wang, Equality of the BLUPs under the mixed linear
model when random components and errors are correlated,
Journal of Multivariate Analysis, 116 (2013) 297–309. 34. Q.W. Wang, X. Liu, The equalities of BLUPs for linear
combinations under two general linear mixed models, Communications
in Statistics – Theory and Methods, 42(2013) 3528-3543. 35. F. O. Farid, Israr
Ali Khan, Q.W. Wang, On matrices over an arbitrary
semiring and their generalized inverses, Linear Algebra and Its Applications, 439 (2013)
2085–2105. 36. S.F.Yuan, Q.W.Wang, Z.P. Xiong,
Linear
parameterized inverse eigenvalue problem of bisymmetric matrices, Linear Algebra and Its Applications, 439 (2013) 1990–2007. 37. G.H. Yu, L.H. Feng, Q.W. Wang, Bicyclic graphs with small positive
index of inertia, Linear Algebra and its Applications, 438 (5) (2013)
2036-2045. 38. X.F. Duan, Q.W. Wang, J.F. Li, On the
Low-rank approximation arising in the generalized karhunen-loeve transform, Abstract and Applied Analysis, 2013, Article Number: 528281 DOI: 10.1155/2013/528281. 39. Z.H. He, Q.W. Wang, A real quaternion matrix equation with
applications, Linear and Multilinear Algebra, 61 (6) (2013) 725-740. 40. Y. Lin, Q.W. Wang, Iterative solution to a system of matrix
equations,
Abstract and Applied
Analysis, Volume 2013, Article
ID 124979, 7 pages. http://dx.doi.org/10.1155/2013/124979 41. Q.W. Wang, Z.H. He, A system of matrix equations and its
applications, Science China
Mathematics, 56 (9) (2013) 1795-1820. 42. N. Li, Q. W. Wang, Iterative algorithm for solving a class of
quaternion matrix equation over the generalized (P,Q)-reflexive matrices, Abstract
and Applied Analysis, Volume 2013, Article ID 831656, 15 page, http://dx.doi.org/10.1155/2013/831656. 43. Q.W. Wang, J. Yu, On the generalized bi
(skew-) symmetric solutions of a linear matrix equation and its Procrust problems, Applied
Mathematics and Computation 219 (2013) 9872-9884. 44. 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, Applied Mathematics and Computation 221 (2013)
10-20. 45. N. Li, Q.W. Wang, J. Jiang, An efficient algorithm for the reflexive solution of the quaternion
matrix equation AXB+CX^{H}D=F, Journal of Applied Mathematics, Volume 2013 (2013), Article ID
217540, 14 pages. 46. S.F. Yuan, Q.W. Wang, X. Zhang, Least squares problem for the
quaternion matrix equation AXB+CYD=E
over different constrained matrices, International Journal of Computer
Mathematics, 90 (3) (2013) 565–576. 47. Y. Lin, Q.W. Wang, Completing a 2 x 2 block matrix of real
quaternions with a partial specified inverse, Journal of Applied Mathematics, Volume 2013, Article Number: 271978, DOI: 10.1155/2013/271978 48. H.X. Chang, X.F. Duan, Q. W. Wang, The Hermitian R-conjugate
Procrustes Problem, Abstract and Applied Analysis, Volume 2013, Article ID
423605, 9 pages http://dx.doi.org/10.1155/2013/423605. 49. Q.W. Wang, Z.H. He, Some matrix equations with applications, Linear
and Multilinear Algebra, 60 (11-12) (2012) 1327-1353. 50. Zhang X. 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. 51. X.F. Duan, Q.W. Wang, A.P. Liao, On the matrix equation arising
in an interpolation problem, Linear and Multilinear Algebra, 61(9)
(2013): 52. Q.W. Wang, G.H. Yu, The least-square bisymmetric solution to a quaternion
matrix equation with applications, Bulletin of the Iranian Mathematical
Society, 39(2) (2013) 239-257. 53. Q.W. Wang, X. Zhang, Z.H. He, On the Hermitian structures of the
solution to a pair of matrix equations, Linear and Multilinear Algebra,
61 (1) (2013) 73-90. 54. Q.W. Wang, J. Yu, Constrained solutions of a system of matrix
equations, Journal of Applied
Mathematics, Volume 2012, Article ID 471573, 19 pages,
doi:10.1155/2012/471573. 55. X.F. Duan, Q.W. Wang, Perturbation analysis for the matrix
equation, Journal of Applied
Mathematics, Volume 2012, Article ID 784620, 13 pages,
doi:10.1155/2012/784620. 56. 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. 57. 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 and its
Applications, 437 (2012) 1854-1891. 58. C.Z. Dong, Q.W. Wang, Y.P. Zhang, On the Hermitian R-conjugate solution of a system of matrix equations, Journal of Applied Mathematics, Volume 2012, Article ID 398085, 14 pages, doi:10.1155/2012/398085. 59. 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, Communications in Algebra, 40 (2012) 2309–2342. 60. S.F. Yuan, Q.W. Wang, Two special kinds of least squares solutions for the quaternion matrix equation AXB + CXD = E, Electronic Journal of Linear Algebra, 23 (2012) 257-274. 61. 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. 62. Z.H. He, Q.W. Wang, Solutions to optimization problems on ranks and inertias of a matrix function with applications, Applied Mathematics and Computation, 219 (2012) 2989-300. 63. 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, Science China Mathematics, 54 (5) (2011) 907-924. 64. M.H. Lin, Q.W. Wang, Remarks on Hua’s matrix equality involving generalized inverse, Linear and Multilinear Algebra, 59 (9) (2011) 1059-1067. 65. Israr Ali Khan, Q.W. Wang, The Drazin inverses in an arbitrary semiring, Linear and Multilinear Algebra, 59 (9) (2011) 1019-1029. 66. Q.W. Wang, C.Z. Dong, The general solution to a system of adjointable operator equations over the Hilbert
C*-modules, Operators and Matrices, 5 (2) (2011) 333-350. 67. G. J. Song, Q.W. Wang, Positive and re-positive solutions to some
systems of adjointable operator equations over
Hilbert C*-modules, Electronic Journal of Linear Algebra, l22 (2011)
1070-1084. 68. G.J. Song, Q.W. Wang, Condensed Cramer rule for some restricted quaternion linear equations，Appl. Math. Comput. 218 (2011) 3110-3121. 69. Q.W. Wang, G.H. Yu, On the maximal nullity of unicyclic graphs with fixed girth, Utilitas Mathematics, 86 (2011) 217-223. 70. 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. 71. Q.W. Wang, Y. Zhou, Q. Zhang, Ranks of the common solution to six quaternion matrix equations, Acta Math. Applic. Sinica (English Series), 27 (3) (2011) 443-462. 72. Q. Zhang, Q.W. Wang, The (P,Q)-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations, Applied Mathematics and Computation, 217 (2011) 9286-9296. 73. F. O. Farid, Q.W. Wang, Fuzhen Zhang, On the eigenvalues of quaternion matrices, Linear and Multilinear Algebra, 59 (4) (2011) 451-473. 74. G.J. Song, Q.W. Wang, H.X. Chang, Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field, Computers and Mathematics with Applications, 61 (2011) 1576-1589. 75. 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 Colloquium, 18 (2) (2011) 333-346. 76. Israr Ali Khan, Q.W. Wang, G.J. Song, Minimal ranks of some quaternion matrix expressions with applications, Applied Mathematics and Computation, 217 (2010) 2031-2040. 77. Q.W. Wang, C.Z. Dong, Positive solutions to a system of adjointable operator equations over Hilbert C*-modules, Linear Algebra and Its Applications, 433(2010)1481-1489. 78. Q.W. Wang, Z. C. Wu, Common Hermitian solutions to some operator equations on Hilbert C*-modules, Linear Algebra and Its Applications, 432 (2)(2010): 3159-3171. 79. H.X. Chang, Q.W. Wang, G.J. Song, (R, S)-conjugate solution to a pair of linear matrix equations, Applied Mathematics and Computation, 217 (2010) 73-82. 80. Q.W. Wang, S. W. Yu, Extreme ranks of real matrices in solution of the quaternion matrix equation AXB=C with applications, Algebra Colloquium, 17 (2) (2010) 345-360. 81. Q.W. Wang, J. W. van der Woude, H.X. Chang, A system of real quaternion matrix equations with applications, Linear Algebra and Its Applications, 431 (2009) 2291-2303. 82. Q.W. Wang, H.S. Zhang, G.J. Song, A new solvable condition for a pair of generalized Sylvester equations, Electronic Journal of Linear Algebra, 18 (2009) 289-301. 83. Q.W. Wang, C. K. Li, Ranks and the least-norm of the general solution to a system of quaternion matrix equations, Linear Algebra and Its Applications, 430 (2009) 1626-1640. 84. 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 Colloquium, 16 (2) (2009) 293-308. 85. Q.W. Wang, F. Zhang, The reflexive re-nonnegative definite solution to a quaternion matrix equation, Electronic Journal of Linear Algebra, 17 (2008) 88-101. 86. Q.W. Wang, G.J. Song, C.Y. Lin, Rank equalities related to the generalized inverse with applications, Applied Mathematics and Computation, 205 (2008) 370-382. 87. Q.W. Wang, H.X. Chang and Q. Ning, The common solution to six quaternion matrix equations with applications, Applied Mathematics and Computation, 198 (2008) 209-226. 88. Q.W. Wang, H. X. Chang, etc., P- (skew)symmetric common solutions to a pair of quaternion matrix equations, Applied Mathematics and Computation, 195 (2008) 721-732. 89. Q.W. Wang, S. W. Yu, etc., Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications, Applied Mathematics and Computation, 195(2008) 733-744. 90. 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
Colloquium, 14 4(2007) 555-570. 91. Q. W. Wang, G. J. Song, etc., Extreme ranks of the solution to
a consistent system of linear quaternion matrix equations with an
application, Applied Mathematics and Computation, 189(2007) 1517-1532. 92. Q.W. Wang, F. Qin, A system of matrix equations over regular
rings, Indian J. Pure Appl. Math, 38(6) (2007) 517-532. 93. Q. W. Wang, Z. C. Wu, etc., Extremal ranks of a quaternion matrix expression
subject to consistent system of quaternion matrix equations with
applications, Applied Mathematics and Computation, 182 (2006)
1755-1764. 94. Q.W. Wang, The general solution to a system of real quaternion
matrix equations, Comput. Math. Applic., 49/5-6 (2005) 665-675. 95. Q.W. Wang, Bisymmetric and centrosymmetric solutions to
systems of real quaternion matrix equations, Comput.
Math. Applic., 49/5-6
(2005) 641-650. 96. 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. 97. 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. 98. 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. 99. 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. |
l Member of the scientific organizing committee of the
special session Matrix Analysis and its Applications
for “The 3rd Pacific Rim Mathematical Association Congress
(PRIMA2017)”, to be held at Oaxaca, Mexico, August 14-18, 2017. l Member of the scientific organizing committee of “The 6th International Conference on Matrix Analysis and
Applications”, June 15-18, 2017, to be held at Duy Tan University, Vietnam. l Chair of “2016 China-Korea International Conference on Matrix Theory with Applications- IRCTMT-AORC Joint Meeting (ICMTA2016)”, held in Shanghai, December 28-31, 2016 l Member of the scientific organizing committee of “5th International Conference on
Matrix Analysis and Applications”, held at
Nova Southeastern University, Florida, USA, December 17–20, 2015 l 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. l Systems of coupled generalized Sylvester matrix equations, The workshop of numerical algebra in Peking University,
Nov. 2-5, 3013. (Plenary speaker) l Member of the scientific organizing committee of “The 4th International Conference on
Matrix Analysis and Applications” held in Konya, Turkey, July 2-5, 2013. l Chair of“International Conference on Coding, Cryptography and Matrix
Theory 2012”was held in Shanghai, Dec 14-16, 2012. l More on the mixed pairs of Sylvester matrix equations, “China
Matrix Theory and Numerical Algebra”, Liaocheng,
China, Nov. 16-18, 2012. (Invited speaker) l Member of the scientific organizing committee of the “The 7th workshop
on Matrices and Operators" was held in Harbin, Heilongjiang, China, July
13-16, 2012. l Some new developments of matrix equations, “The 7th workshop on
Matrices and Operators”, Harbin, Heilongjiang, China July 13-16, 2012.
(Invited speaker) l Chair of“International Workshop on Coding and Cryptography”was held
in Shanghai, May 11-13, 2012. l On the eigenvalues of quaternion matrices, “The 9th International
Conference on Matrix Theory and its Applications”, July 19-22, 2010,
Shanghai. (Plenary talk)\ l Chair of local organization of “The 9th International Conference
on Matrix Theory and its Applications”, July 19-22, 2010, Shanghai. l Chair of Program Committee of “International Workshop on Coding
and Cryptography” August 16-21, 2010, Chengdu, China. l Chair of local organization committee of “2009 Shanghai
International Conference on Matrix Theory”, July 14-15, 2009, Shanghai. l A system of real quaternion matrix equations with applications,
“International Conference in Mathematics and Application”, December 17-19,
2009, Bangkok, Thailand. (Invited speaker) l Linear matrix equations with applications, “International
Conference on Algebra and Geometry” 2009, Dec. 20-22, 2009, Royal Phuket,
Thailand. (Invited speaker) l Member of Scientific organizing committee of “The 3rd
International Workshop on Matrix Analysis and Applications”, July 9-13, 2009,
Hangzhou. l Systems of linear matrix equations, “The 3rd International
Workshop on Matrix Analysis and Applications”, July 9-13, 2009, Hangzhou.
(Plenary speaker) l The investigations of quaternion matrix equations with
applications, “The International Conference on Algebra and Related Topics”,
June 24-27, 2009, Guangzhou. (Invited speaker) l The reflexive Re-positive definite solution to a system of
quaternion matrix equations, “the Second International Workshop on Successful
Strategies in Supply Chain Management”, January 8-9, 2009, Hong Kong.
(Invited speaker) l Rank method and systems of linear
quaternion matrix equations, “The 8th Chinese Matrix Theory and Applications International
Conference”, July 2008, Taiyuan. (Invited speaker) l (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”, July 2007, Shanghai. l Extremal ranks of a quaternion
matrix expression subject to consistent systems of quaternion matrix
equations with applications, “The 9th Chinese Conference of Algebra”, October 2006, Xiamen. l Representations of some matrices
and systems of matrix equations over noncommutative rings, “International workshop, March 2005”, Shanghai. (Invited
speaker) l Various solutions to a system of generalized Sylvester matrix
equations over a finite dimensional central algebra, “The 8th Chinese
Conference of Algebra”, October 2004, Huangshan. l Solvable conditions to a system of generalized Sylvester matrix
equations over a finite dimensional central algebra, “International Congress
of Mathematicians”, August 2002, Beijing. |