Solutions of the matrix inequality AXA≤?A in some partial orders

Hongxing Wang and Xiaoji Liu

Applied Mathematics and Computation, 2021, vol. 396, issue C

Abstract: 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#.

Keywords: Matrix inequality; Partial order; Matrix decomposition; Idempotent matrix; Orthogonal projection; Generalized inverse (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308936

DOI: 10.1016/j.amc.2020.125940

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