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 Author: Manzaneda, CristinaAndrade, EnideRobbiano, Maria Keywords: Permutative matrixSymmetric matrixInverse eigenvalue problemNonnegative 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 - ArtigosOGTCG - Artigos

Files in This Item:
File Description SizeFormat