Realizing Suleimanova-type Spectra via Permutative Matrices
Pietro Paparella · Electronic Journal of Linear Algebra · 2016
A permutative matrix is a square matrix such that every row is a permutation of the first row. A constructive version of a result attributed to Sule˘ımanova is given via permutative matrices. A well-known result is strenghthened by showing that all realizable spectra containing at most four elements can be realized by a permutative matrix or by a direct sum of permutative matrices. The paper concludes by posing a problem.