| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617172 | Journal of Mathematical Analysis and Applications | 2012 | 10 Pages |
Abstract
We give necessary and sufficient conditions for the existence of the common positive solution to the equations A1X1=C1,X1B1=D1,A2X2=C2,X2B2=D2,A3X1A3â+A4X2A4â=C5 for adjointable operators between Hilbert Câ-modules, and present an expression of the positive solution to the system when the solvability conditions are satisfied. As an application, we consider the reflexive positive semidefinite solution to the system of complex matrix equations AX=B,XC=D,EXEâ=F.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chang-Zhou Dong, Qing-Wen Wang, Yu-Ping Zhang,