D.M. Cardoso), maguieiras@im.ufrj.br (M.A.A. de Freitas), enide@ua.pt (E.A. Martins), mrobbiano@ucn.cl (M. Robbiano).

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A square matrix of order n with n ≥ 2 is called a 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.

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