Repositório Institucional da Universidade de Aveiro > CIDMA - Centro de Investigação e Desenvolvimento em Matemática e Aplicações > CIDMA - Artigos > Realizable lists via the spectra of structured matrices
 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 authors: 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. URI: http://hdl.handle.net/10773/18240 ISSN: 0024-3795 publisher version/DOI: https://doi.org/10.1016/j.laa.2017.08.007 source: Linear Algebra and its Applications appears in collections CIDMA - Artigos

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