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Bouthat, Ludovick; Khare, Apoorva; Mashreghi, Javad, & Morneau-Guérin, Frédéric (2021). The p-norm of circulant matrices. Linear and Multilinear Algebra. https://doi.org/10.1080/03081087.2021.1983513
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- The_p-Norm_of_circulant_matrices_REV_final_3.pdf
Content : Accepted Version Restricted access till end- December 2022. |
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| Item Type: | Journal Articles |
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| Refereed: | Yes |
| Status: | Published |
| Abstract: | In this note we study 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, for p between 1 and infinity. 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.tandfonline.com/doi/full/10.1080/03081... |
| Depositor: | Morneau-Guérin, Frédéric |
| Owner / Manager: | Frédéric Morneau-Guérin |
| Deposited: | 09 Sep 2021 14:23 |
| Last Modified: | 06 Oct 2021 18:06 |
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