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A Matrix Inequality

✍ Scribed by Meany, R. K.

Book ID: 118181729
Publisher: Society for Industrial and Applied Mathematics
Year: 1969
Tongue: English
Weight: 221 KB
Volume: 6
Category: Article
ISSN: 0036-1429
DOI: 10.1137/0706011

No coin nor oath required. For personal study only.

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In this note, the matrix trace inequality for positive semidefinite matrices A and B, tr AB m ≤ tr A 2m tr B 2m 1/2 is established, where m is an integer. The above inequality improves the result given by Yang (