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A New Expression of the Hermitian Solutions to a System of Matrix Equations with Applications
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作者 Guangjing Song shaowen yu Ming Chen 《Algebra Colloquium》 SCIE CSCD 2016年第1期167-180,共14页
In this paper, a new necessary and sufficient condition for the existence of a Hermitian solution as well as a new expression of the general Hermitian solution to the system of matrix equations A1X = C1 and A3XB3 = C3... In this paper, a new necessary and sufficient condition for the existence of a Hermitian solution as well as a new expression of the general Hermitian solution to the system of matrix equations A1X = C1 and A3XB3 = C3 are derived. The max-min ranks and inertias of these Hermitian solutions with some interesting applications are shown. In particular, the max-min ranks and inertias of the Hermitian part of the general solution to this system are presented. 展开更多
关键词 matrix equations linear matrix expression generalized inverse inertias
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