The Hermitian solution of AXA*=B subject to CXC* ≥ D
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摘要
In this paper, we first establish some necessary and sufficient conditions for the existence of Hermitian solution of AXA*=B subject to CXC* ≥ D, where B and D are Hermitian matrices. Furthermore, a general expression for this Hermitian constrained solution is derived, several special cases are also considered.
论文关键词：Hermitian solution,Linear matrix equation,Linear matrix inequality,Löwner partial ordering
论文评审过程：Received 15 June 2014, Revised 21 August 2015, Accepted 24 August 2015, Available online 14 September 2015, Version of Record 14 September 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.08.102
