研究领域

线性和多重线性代数、矩阵理论及应用、数值代数、量子计算、四元数统计

科研项目

1.国家自然科学基金面上项目, 广义四元数代数上的若干超矩阵方程组及应用, 2024-2027, 在研，主持

2.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, 结题, 主持

3.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, 2016-2019, 结题, 主持

4.国家自然科学基金面上项目，双四元数矩阵代数及其应用，2012-2015，结题, 主持

5.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

6.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

7.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

8.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

论文发表

1. W. L. Zen, Q.W. Wang, Improvement of S-type localization sets of C-eigenvalues for piezoelectric-type tensors, Appl. Math. Lett., 160 (2025). DOI: https://doi.org/10.1016/j.aml.2024.109357.

2. Z.H. He, A. Dmytryshyn, Q.W. Wang, A new system of Sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra. Linear and Multilinear Algebra, 1-41(2024). https://doi.org/10.1080/03081087.2024.2413635.

3. 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.

4. L.Q. Yang, Q.W. Wang, and Z.L. Kou, A System of Tensor Equations over the Dual Split Quaternion Algebra with an Application, Mathematics, 12(22): 3571 (2024). https://doi.org/10.3390/math12223571.

5. S.Q. Duan, Q.W. Wang, X.F. Duan, On Rayleigh Quotient Iteration for the Dual Quaternion Hermitian Eigenvalue Problem, Mathematics, 12(24): 4006 (2024). https://doi.org/10.3390/math12244006.

6. N.Y. Yang, X.F. Duan, C.M. Li, Q.W. Wang, A new algorithm for solving a class of matrix optimization problem arising in unsupervised feature selection. Numer. Algor., (2024). https://doi.org/10.1007/s11075-024-01997-4.

7. L. Shi, Q.W. Wang, L.M. Xie, X.F. Zhang, Solving the Dual Generalized Commutative Quaternion Matrix Equation AXB = C, Symmetry, 16(10): 1359 (2024). https://doi.org/10.3390/sym16101359.

8. A. Khalid, Q.W. Wang, Z.H. Gao, The general solution to a system of real split quaternion matrix equations, Filomat, 38:25: 8827-8840 (2024). https://doi.org/10.2298/FIL2425827K.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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.

15. 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.

16. 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.

17. 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.

18. 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.

19. 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.

20. 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.

21. 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.

22. 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.

23. 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.

24. 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.

25. 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.

26. 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.

27. 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.

28. 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.

29. 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.

30. 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.

31. W.W. Li, H. Xin, Q.W. Wang, The canonical forms of permutation matrices, Symmetry, 15 (2) (2023). DOI: 10.3390/sym15020332.