Suleimanova spectrum, permutative matrix, real nonnegative inverse eigenvalue problem.
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.
"Realizing Suleimanova-type Spectra via Permutative Matrices",
Electronic Journal of Linear Algebra,
Volume 31, pp. 306-312.