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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
DOI: 10.1016/j.laa.2019.12.029
ISSN: 0024-3795
Appears in Collections:CIDMA - Artigos
DMat - Artigos
OGTCG - Artigos

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