%0 Journal Article
%T The generalized anti-reflexive solutions for a class of matrix equations (BX = C, XD = E)
%A Fan-Liang Li
%A Xi-Yan Hu
%A Lei Zhang
%J Computational and Applied Mathematics
%D 2008
%I 
%X In this paper, the generalized anti-reflexive solution for matrix equations (BX = C, XD = E), which arise in left and right inverse eigenpairs problem, is considered. With the special properties of generalized anti-reflexive matrices, the necessary and sufficient conditions for the solvability and a general expression of the solution are obtained. Furthermore, the related optimal approximation problem to a given matrix over the solution set is solved. In addition, the algorithm and the example to obtain the unique optimal approximation solution are given.
%K matrix equations
%K generalized anti-reflexive matrices
%K optimal approximation
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000100002