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).

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Item Type:	Conference papers (unpublished)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Status:	Unpublished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

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