The Submultiplicativity of Matrix Norms Induced by Random Vectors [r-libre/3305]

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (May 2024). The Submultiplicativity of Matrix Norms Induced by Random Vectors. Paper (invited) presented at the Western Canadian Linear Algebra Meeting 2024.

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Item Type:	Conference papers (unpublished)
Refereed:	Yes
Status:	Unpublished
Abstract:	In a recent article, Chávez, Garcia and Hurley introduced a new family of norms \\|.\\|_{X,d} on the space of n x n complex matrices which are induced by random vectors X having finite d-moments. In this talk, the interesting properties of these norms are exhibited, and recent progress concerning the submultiplicativity of these norms is presented. In particular, we shall see that they are submultiplictive, as long as the entries of X have finite p-moments for p = max{2+epsilon,d}.
Official URL:	https://uregina.ca/~sfallat/wclam24
Depositor:	Morneau-Guérin, Frédéric
Owner / Manager:	Frédéric Morneau-Guérin
Deposited:	02 Jul 2024 18:18
Last Modified:	02 Jul 2024 18:18

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