The Hermitian solution of AXA*=B subject to CXC* ≥ D

Xifu Liu

Applied Mathematics and Computation, 2015, vol. 270, issue C, 890-898

Abstract: 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.

Keywords: Hermitian solution; Linear matrix equation; Linear matrix inequality; Löwner partial ordering (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:890-898

DOI: 10.1016/j.amc.2015.08.102

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