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
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;
Conference_Titel :
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2875-5
DOI :
10.1109/ICNC.2007.736
