On relations among solutions of the Hermitian matrix equation \(AXA^* = B\) and its three small equations

DOI10.15352/AFA/1396833500zbMath1296.15009OpenAlexW2073820792MaRDI QIDQ402904

Yongge Tian, Ying Li

Publication date: 29 August 2014

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v5_n2_a2.pdf

zbMATH Keywords

inequalityLöwner partial orderingmatrix equationequalityHermitian solutioninertia formularank formula

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

The \(\eta \)-anti-Hermitian solution to some classic matrix equations ⋮ Solutions of the matrix inequality \(AXA\overset{?}{\leq}A\) in some partial orders

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