DocumentCode
1599627
Title
The Reflexive Solutions for a Pair of Simultaneous Linear Matrix Equations
Author
Li, Fan-Liang ; Hu, Xi-Yan ; Zhang, Lei
Author_Institution
Univ. of Forestry & Technol., Changsha
Volume
5
fYear
2007
Firstpage
140
Lastpage
144
Abstract
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.
Keywords
matrix inversion; vectors; conjugate transpose; matrix inversion; n-vector spaces; optimal approximate solution; orthogonal projection matrices; reflexive matrices; simultaneous linear matrix equations; Chromium; Educational institutions; Equations; Forestry; Mathematics; Matrix decomposition; Reflection; Singular value decomposition; Sufficient conditions; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location
Haikou
Print_ISBN
978-0-7695-2875-5
Type
conf
DOI
10.1109/ICNC.2007.736
Filename
4344826
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