Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/23002
 Title: Realizable lists on a class of nonnegative matrices Author: Andrade, EnideManzaneda, CristinaRobbiano, María Keywords: Permutative matrixInverse eigenvalue problemNonnegative matrixCirculant matrixSkew circulant matrixGuo 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

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