Academic Qualification

Ph. D in Shanghai University

Ph.D in EPFL, Swizerland, Exchange

M. Sc in Shanghai University

Teaching Area

Calculus, Linear Algebra, Numerical Linear Algebra

Research Area

Matrix and Tensor Theory, Signal Processing, Numerical Linear Algebra

Working Experience

Sep. 2020 ~ present, Associate Professor, Faculty of Information Technology, MUST

Sep. 2013 ~ Aug. 2020, Assistant Professor, Faculty of Information Technology, MUST

Academic Publication (selected)

1.   C.E. Yu, X. Liu*, Y. Zhang, A new complex structure-preserving method for QSVD，Journal of Scientific Computing (2024), doi:10.1007/s10915-024-02496-3. (SCI)

2.   R.P. Liao, X. Liu*, S.J. Long, Y. Zhang, (R,S)-(skew) symmetric solutions to matrix equation AXB=C over quaternions, Mathematics 12(2) (2024) 1-12. (SCI)

3.   X.H. Li, X. Liu, J. Jiang* and J. Sun, Some solutions to a third-order quaternion tensor equation, AIMS Mathematics 8(11) (2023) 27725-27741. (SCI)

4.   Y. Tian, X. Liu*, Y. Zhang, Least-squares solutions of the generalized reduced biquaternion matrix equations, Filomat 37(3) (2023) 836-870. (SCI)

5.   X. Liu*, K.Q. Wen, Y. Zhang, Matrix equation's reflexive and anti-reflexive solutions over Quaternions, Symmetry (2023) 15: 40. (SCI)

6.   C.E. Yu, X. Liu*, Y. Zhang, On elliptic biquaternion matrices, Advances in Applied Clifford Algebras (2021) 31: 5. (SCI)

7.    C.E. Yu, X. Liu*, Y. Zhang, The generalized quaternion matrix equation AXB + CX*D = E，Mathematical Methods in the Applied Sciences 43(15) (2020) 8506-8517. (SCI)

8.   Z.Z. He, M.M. Wang, X. Liu*, On the general solutions to some systems of quaternion matrix equations, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2020) 114(95). (SCI)

9.   X. Liu, G.J. Song*, Y. Zhang, Determinantal representations of the solutions to systems of generalized Sylvester equations, Advances in Applied Clifford algebras (2020) 30: 12. (SCI)

10.  X. Liu*, Y. Zhang, Least-squares solutions to split quaternion matrix equation, Mathematical Methods in the Applied Sciences 43(5) (2020) 2189-2201. (SCI)

11.  X. Liu, Z.Z. He*, n-Hermitian solutions to a system of quaternion matrix equations, Bulletin of the Malaysian Mathematical Sciences Society 43 (2020) 4007-4027. (SCI)

12.  X. Liu, Z.Z. He*, On the split quaternion matrix equation AX = B, Banach Journal of Mathematical Analysis 14 (2019) 228-248. (SCI)

13.  X. Liu*, Q.W. Wang and Y. Zhang, Consistency of quaternion matrix equations AX* - XB = C and X - AX*B = C, Electronic Journal of Linear Algebra 35 (2019) 394-407. (SCI)

14.  X. Liu*, Y. Zhang, Consistency of split quaternion matrix equations AX* - XB = C and X - AX*B = C, Advances in Applied Clifford algebras (2019) 29: 64. (SCI)

15.  X. Liu*, The n-anti-Hermitian solution to some classic matrix equations, Applied Mathematics and Computation 320 (2018) 264-270. (SCI)

16.  G.H. Yu*, X. Liu, H. Qu, Singularity of Hermitian (quasi-)Laplacian matrix of mixed graphs, Applied Mathematics and Computation 293 (2017) 287-292.(SCI)

17.  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. (SCI)

18.  K. Daniel*, X. Liu, Structured canonical forms for products of (Skew-)symmetric matrices and the matrix equation XAX = B, Electronic Journal of Linear Algebras 35 (2019) 394-407. (SCI)

19.  X. Liu*, Y. Zhang, Consistency of split quaternion matrix equations AX* - XB = CY + D and X - AX*B = CY + D , Advances in Applied Clifford algebra 26 (2013) 215-230. (SCI)

20.  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, Applied Mathematics and Computation 218(6) (2011) 2761-2771. (SCI)

21.  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(19) (2013) 3528-3543. (SCI)

22.  X. Zhang, Q.W. Wang*, X. Liu, Inertias and ranks of some Hermitian matrix functions with applications, Central European Journal of Mathematics 10(1) (2012) 329-351. (SCI)

23.  Q.W. Wang*, G.J. Song, X. Liu, 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. (SCI)

BOOK: X. Liu, Y. Zhang*, Chapter 3. Matrices over Quaternion Algebras in Matrix and operator equations and applications, Springer, 2023, ISBN 978-3-031-25385-0.

Research Grants

1.      2022.1--2024.1 基於深度學習的實時籌碼盤監管系統, FDCT。

2.      2018.11-2022.4  四元數矩陣方程及其在統計模型上的應用, FDCT。

3.      2016.08-2018.08 矩陣方程組的解及其在線性模型上的應用, FDCT。

Professional Certification and Awards

2020 首屆珠港澳人工智能算法大賽團隊第四名

2019 澳門科技大學數學教育模式的創新與實踐教學成果二等獎