Open access research
publication repository

The norm of a circulant operator [r-libre/2496]

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (Jan 2022). The norm of a circulant operator. Paper (invited) presented at the The OTTER Math Meeting, En ligne (pandémie).

File(s) available for this item:
[img]  PDF - Beamer_OTTER_2022.pdf
Content : Slideshow
Item Type: Conference papers (unpublished)
Refereed: No
Status: Unpublished
Abstract: In this talk, we’ll present our study of the induced p-norm of circulant matrices A(n, +/- a, b), acting as operators on the Euclidean space R^n. For circulant matrices whose entries are nonnegative real numbers, in particular for A(n, a, b), we provide an explicit formula for the p-norm, p greater than one. The calculation for A(n, −a, b) is more complex. The 2-norm is precisely determined. As for the other values of p, two different categories of upper and lower bounds are obtained. These bounds are optimal at the end points (i.e. p = 1 and p = infinity) as well as at p = 2.
Official URL: https://sites.google.com/view/otter-math/home
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 18 Jan 2022 16:19
Last Modified: 18 Jan 2022 16:19

Actions (login required)