关于矩阵方程XB=C的结构解

Structured Solutions to Matrix Equation XB=C

很多应用中导出矩阵方程XB=C,本文考虑此方程的结构解.首先考虑自伴矩阵解及反自伴矩阵解,接下来考虑广义对称解及广义反对称解,最后讨论更广泛的矩阵方程AXB=C的酉矩阵解.所得结果推广了Sun,Tisaeur,Trench等人的一些结果.

This paper deals with structured solutions to the matrix equation ×B = C. Firstly, the self-adjoint and skew-self-adjoint solutions are considered. Secondly, the generalized symmetric and generalized skewsymmetic solutions are investigated. Finally, we consider unitary solution to the more general equation A×B=C.Some results proved by Sun. Tisseur and Trench are generalized.