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 Realizable lists via the spectra of structured matrices
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/18240

title: Realizable lists via the spectra of structured matrices
authors: 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.
URI: http://hdl.handle.net/10773/18240
ISSN: 0024-3795
publisher version/DOI: https://doi.org/10.1016/j.laa.2017.08.007
source: Linear Algebra and its Applications
appears in collectionsCIDMA - Artigos

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