Realizing Suleimanova Spectra via Permutative Matrices
Rings and Algebras
2017-08-02 v3
Abstract
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 Suleimanova is given via permutative matrices. In addition, we strengthen a well-known result 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. We conclude by posing a problem.
Keywords
Cite
@article{arxiv.1509.00823,
title = {Realizing Suleimanova Spectra via Permutative Matrices},
author = {Pietro Paparella},
journal= {arXiv preprint arXiv:1509.00823},
year = {2017}
}