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http://hdl.handle.net/10773/18240
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 |
URI: | http://hdl.handle.net/10773/18240 |
DOI: | 10.1016/j.laa.2017.08.007 |
ISSN: | 0024-3795 |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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LAA00474RevisedII.pdf | Main article | 290.97 kB | Adobe PDF | View/Open |
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