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Title: Realizable lists via the spectra of structured matrices
Author: Manzaneda, Cristina
Andrade, Enide
Robbiano, Maria
Keywords: Permutative matrix
Symmetric matrix
Inverse eigenvalue problem
Nonnegative matrix
Issue Date: 17-Aug-2017
Publisher: Elsevier
Abstract: A square matrix of order $n$ with $n\geq 2$ is called a \textit{permutative matrix} or permutative when all its rows (up to the first one) are permutations of precisely its first row. In this paper, the spectra of a class of permutative matrices are studied. In particular, spectral results for matrices partitioned into $2$-by-$2$ symmetric blocks are presented and, using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative permutative matrix are obtained and the corresponding permutative matrices are constructed. Guo perturbations on given lists are exhibited.
Peer review: yes
DOI: 10.1016/j.laa.2017.08.007
ISSN: 0024-3795
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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