http://orcid.org/0000-0001-7905-528X
References
- Ben-Israel A , Greville TNE . Generalized inverses: theory and applications. 2nd ed. Berlin: Springer; 2003.
- Roth WE . The equations AX-YB=C and AX-XB=C in matrices. Proc Amer Math Soc. 1952;3:392–396.
- Baksalary JK , Kala R . The matrix equation AXB-CYD=E. Linear Algebra Appl. 1980;30:141–147.
- Wang QW . The decomposition of pairwise matrices and matrix equations over an arbitrary skew field. Acta Math Sinica. 1996;39(3):396–403 . (in Chinese).
- Chu K-WE . The solution of the matrix equations AXB-CXD=E and (YA-DZ, YC-BZ)=(E,F). Linear Algebra Appl. 1987;93:93–105.
- Dmytryshyn A , Kȧgström B . Coupled Sylvester-type matrix equations and block diagonalization. SIAM J Matrix Anal Appl. 2015;36:580–593.
- Wang QW , He Z-H . Systems of coupled generalized Sylvester matrix equations. Automatica. 2014;50:2840–2844.
- Wang QW . Constraint generalized Sylvester matrix equations. Automatica. 2016;69:60–64.
- Wang QW , He Z-H . The common solution of some matrix equations. Algebra Colloq. 2016;23(1):71–81.
- Wang QW , He Z-H . A system of periodic discrete-time coupled Sylvester quaternion matrix equations. Algebra Colloq. 2017;24(1):169–180.
- Liu X . On solutions to matrix inequalities with applications. Taiwanese J Math. 2015;19(6):1643–1659.
- Liu X . The Hermitian solution of AXA*=B subject to CXC*≥D. Appl Math Comput. 2015;270:890–898.
- Marsaglia G , Styan GPH . Equalities and inequalities for ranks of matrices. Linear Multilinear Algebra. 1974;2:269–292.
- Tian Y . Equalities and inequalities for inertias of Hermitian matrices with applications. Linear Algebra Appl. 2010;433:263–296.
- Khatri CG , Mitra SK . Hermitian and nonnegative definite solutions of linear matrix equations. SIAM J Appl Math. 1976;31:579–585.