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The p-norm of circulant matrices [r-libre/2607]

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (Apr 2022). The p-norm of circulant matrices. Paper (invited) presented at the Joint Mathematics Meetings 2022, En ligne (pandémie).

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Content : Slideshow
Item Type: Conference papers (unpublished)
Refereed: Yes
Status: Unpublished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://www.jointmathematicsmeetings.org//jmm
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 11 Apr 2022 13:40
Last Modified: 15 May 2022 22:05

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