The Reflexive Solutions for a Pair of Simultaneous Linear Matrix Equations
Autor: | Xi-Yan Hu, Lei Zhang, Fan-Liang Li |
---|---|
Rok vydání: | 2007 |
Předmět: | |
Zdroj: | ICNC (5) |
DOI: | 10.1109/icnc.2007.736 |
Popis: | In this paper, the reflexive solutions of a pair of matrix equations (AX = B, XC = D) is discussed. By applying special properties of reflexive matrices, we obtain the necessary and sufficient conditions for the existence of the solutions. We also derive a general form of the solutions. In addition, the unique optimal approximate solution is given by applying the properties of orthogonal projection matrices. |
Databáze: | OpenAIRE |
Externí odkaz: |