Matrix Norms Induced by Random Vectors [r-libre/3304]

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (Jun 2024). Matrix Norms Induced by Random Vectors. Paper (invited) presented at the Réunion d'été de la Société Mathématique du Canada 2024.

File(s) available for this item:

PDF - Matrix-Norms-Induced-by-Random-Vectors-CMS-summer-meeting-2024.pdf
Content : Slideshow

Download

Item Type:	Conference papers (unpublished)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Status:	Unpublished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://smc.math.ca/reunions/#:~:text=Du%2031%20ma...
Depositor:	Morneau-Guérin, Frédéric
Owner / Manager:	Frédéric Morneau-Guérin
Deposited:	02 Jul 2024 15:19
Last Modified:	30 Mar 2025 14:10

Actions (login required)

RÉVISER