The η-anti-Hermitian solution to some classic matrix equations
The η-anti-Hermitian solution to some classic matrix equations
复制标题
DOI：
10.1016/j.amc.2017.09.033
复制
发表时间：
2018-03
期刊：
影响因子：
--
通讯作者：
Xin Liu
中科院分区：
文献类型：
--
作者：
Xin Liu
We in this paper consider the η-anti-Hermitian solution to some classic matrix equations A X= B, A X B= C, A X A η*= B, E X E η*+ F Y F η*= H, respectively. We derive the necessary and sufficient conditions for the above matrix equations to have η-anti-Hermitian solutions and also provide the general expressions of solutions when those equations are solvable. As applications, for instance, we give the solvability conditions and general η-anti-Hermitian solution to equation system A X= B, C Y= D, M X M η*+ N Y N η*= G.
