The η-anti-Hermitian solution to some classic matrix equations

Xin Liu

Applied Mathematics and Computation, 2018, vol. 320, issue C, 264-270

Abstract: We in this paper consider the η-anti-Hermitian solution to some classic matrix equations AX=B,AXB=C,AXAη*=B,EXEη*+FYFη*=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 AX=B,CY=D,MXMη*+NYNη*=G.

Keywords: Quaternion matrix equation; η-anti-Hermitian matrix; Moore–Penrose inverse (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:320:y:2018:i:c:p:264-270

DOI: 10.1016/j.amc.2017.09.033

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