Solutions of the matrix inequality AXA≤?A in some partial orders
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摘要
In this paper, we consider the matrix inequality AXA≤?A in the star, sharp and core partial orders, respectively. We get general solutions of those matrix inequalities and prove D*⊆S* and D#⊆S#, although DO#⊈SO#.
论文关键词：Matrix inequality,Partial order,Matrix decomposition,Idempotent matrix,Orthogonal projection,Generalized inverse
论文评审过程：Received 30 September 2017, Revised 12 September 2020, Accepted 24 December 2020, Available online 7 January 2021, Version of Record 7 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125940
