The generalized anti-reflexive solutions for a class of matrix equations (BX = C, XD = E)
AUTOR(ES)
Li, Fan-Liang, Hu, Xi-Yan, Zhang, Lei
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2008
RESUMO
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.
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