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Trace inequalities for positive semidefinite matrices with centrosymmetric structure

✍ Scribed by Di Zhao, Hongyi Li, Zhiguo Gong

Book ID: 120733794
Publisher: Hindawi Publishing Corporation
Year: 2012
Tongue: English
Weight: 145 KB
Volume: 2012
Category: Article
ISSN: 1025-5834
DOI: 10.1186/1029-242X-2012-62

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The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm, trace, and eigenvalue for sum and product of positive semide®nite (Hermitian) matrices. Some open questions proposed by Marshall and Olkin are resolved.