Abstract

In this paper we present spectral results for matrices partitioned into higher order blocks, where not all blocks are necessarily square. Using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative matrix are obtained and the corresponding matrix is constructed, In particular, spectral results for symmetric matrices are derived. A result on Guo perturbations for permutative matrices on given lists is generalized. (C) 2019 Elsevier Inc. All rights reserved.