Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/27545
Title: | On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem |
Other Titles: | On the spectra of some $g$- circulant matrices and applications to nonnegative inverse eigenvalue problem |
Author: | Andrade, Enide Arrieta, Luis Manzaneda, Cristina Robbiano, María |
Keywords: | Nonnegative inverse eigenvalue problem Nonnegative matrix Circulant matrix g-circulant matrix Permutative matrix |
Issue Date: | 1-Apr-2020 |
Publisher: | Elsevier |
Abstract: | A $g$-circulant matrix $A$, is defined as a matrix of order $n$ where the elements of each row of $A$ are identical to those of the previous row, but are moved $g$ positions to the right and wrapped around. Using number theory, certain spectra of $g$-circulant real matrices are given explicitly. The obtained results are applied to Nonnegative Inverse Eigenvalue Problem to construct nonnegative, $g$-circulant matrices with given appropriated spectrum. Additionally, some $g$-circulant marices are reconstructed from its main diagonal entries. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/27545 |
DOI: | 10.1016/j.laa.2019.12.029 |
ISSN: | 0024-3795 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
LUISREVISED.pdf | 322.67 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.