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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
DOI: 10.1016/j.laa.2018.04.004
ISSN: 0024-3795
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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