Prof. Qingwen Wang
Shanghai
University, China
Professor
Email: wqw@shu.edu.cn
Qualifications
Ph.D., University
of Science and Technology of China, China
Publications
(Selected)
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Q.W. Wang, Z.H. He, Solvability conditions and general solution for mixed
Sylvester equations, Automatica, 49 (2013) 2713–2719.
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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.
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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.
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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.
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S.F.Yuan, Q.W.Wang, Z.P. Xiong, Linear parameterized inverse eigenvalue
problem of bisymmetric matrices, Linear Algebra and Its Applications,
Linear Algebra and its Applications 439 (2013) 1990–2007.
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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.
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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.
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Z.H. He, Q.W. Wang, A real quaternion matrix equation with
applications, Linear and Multilinear Algebra, 61 (6) (2013) 725-740.
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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
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Q.W. Wang, Z.H. He, A system of matrix equations and its
applications, Science China Mathematics,56 (9) (2013) 1795-1820.
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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,
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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.
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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.
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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.
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S.F. Yuan, Q.W. Wang, X. Zhang, Least squares problem for the quaternion
matrix equationAXB+CYD=E over different constrained
matrices, International Journal of Computer Mathematics, 90 (3) (2013)
565–576.
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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
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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.
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Q.W. Wang, Z.H. He, Some matrix equations with applications, Linear and
Multilinear Algebra, 60 (11-12) (2012) 1327-1353.
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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.
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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): 1192-1205.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Q.W. Wang, S. W. Yu, Ranks of the common solution to some quaternion
matrix equations with applications, Bulletin of Iranian Mathematical
Society, 38 (1) (2012) 131-157.
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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.
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M.H. Lin, Q.W. Wang, Remarks on Hua’s matrix equality involving
generalized inverse, Linear and Multilinear Algebra, 59 (9) (2011)
1059-1067.
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Israr Ali Khan, Q.W. Wang, The Drazin inverses in an arbitrary
semiring, Linear and Multilinear Algebra, 59 (9) (2011) 1019-1029.
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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.
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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.
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G.J. Song, Q.W. Wang, Condensed Cramer rule for some restricted quaternion
linear equations,Appl. Math. Comput. 218 (2011) 3110-3121.
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Q.W. Wang, G.H. Yu, On the maximal nullity of unicyclic graphs with fixed
girth, Utilitas Mathematics, 86 (2011) 217-223.
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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.
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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.
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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.
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F. O. Farid, Q.W. Wang, Fuzhen Zhang, On the eigenvalues of quaternion
matrices, Linear and Multilinear Algebra, 59 (4) (2011) 451-473.
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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.
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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.
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Q.W. Wang, Jing Jiang, Extreme ranks of (skew-)Hermitian solutions to a
quaternion matrix equation, Electronic Journal of Linear Algebra, 20(2010)
552-573.
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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.
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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.
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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.
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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.
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Q.W. Wang, S. W. Yu, Extreme ranks of real matrices in solution of the
quaternion matrix equationAXB=C with applications, Algebra
Colloquium, 17 (2) (2010) 345-360.
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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.
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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.
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Q.W. Wang, S. W. Yu, The real solution to a system of quaternion matrix
equations with applications, Communications in Algebra, 37(6) (2009)
2060-2079.
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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.
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Q.W. Wang, H. S. Zhang, S. W. Yu, On the real and pure imaginary solutions
to the quaternion matrix equation AXB+CYD=E, Electronic Journal of
Linear Algebra, 17 (2008) 343-358.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Q.W. Wang, F.
Qin, A system of matrix equations over regular rings, Indian J. Pure Appl.
Math,38(6) (2007) 517-532.
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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.
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Q.W. Wang,
The general solution to a system of real quaternion matrix
equations, Comput. Math. Applic., 49/5-6 (2005) 665-675.
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Q.W. Wang,
Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix
equations, Comput. Math. Applic., 49/5-6 (2005) 641-650.
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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.
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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.
Profile Details
http://math.shu.edu.cn/teacher/wangqingwen/index.htm