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http://hdl.handle.net/10773/23002
Title: | Realizable lists on a class of nonnegative matrices |
Author: | Andrade, Enide Manzaneda, Cristina Robbiano, María |
Keywords: | Permutative matrix Inverse eigenvalue problem Nonnegative matrix Circulant matrix Skew circulant matrix Guo perturbations |
Issue Date: | 15-Aug-2018 |
Publisher: | Elsevier |
Abstract: | A square matrix of order $n$ with $n\geq 2$ is called \textit{permutative matrix} when all its rows are permutations of the first row. In this paper recalling spectral results for partitioned into $2$-by-$2$ symmetric blocks matrices sufficient conditions on a given complex list to be the list of the eigenvalues of a nonnegative permutative matrix are given. In particular, we study NIEP and PNIEP when some complex elements in the lists under consideration have non-zero imaginary part. Realizability regions for nonnegative permutative matrices are obtained. A Guo's realizability-preserving perturbations result is obtained. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/23002 |
DOI: | 10.1016/j.laa.2018.04.004 |
ISSN: | 0024-3795 |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Realizable lists on a class of nonnegative matrices.pdf | 336.27 kB | Adobe PDF | View/Open |
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