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A Cauchy-Khinchin matrix inequality

✍ Scribed by Edwin R. van Dam

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 611 KB
Volume: 280
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(98)00019-6

No coin nor oath required. For personal study only.

✦ Synopsis

We derive a matrix inequality, which generalizes the Cauchy-Schwarz inequality for vectors, and Khinchin's inequality for zero-one matrices. Furthermore, we pose a related problem on the maximum irregularity of a directed graph with prescribed number of vertices and arcs, and make some remarks on this problem.

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