Realizing Sule\u{i}manova spectra via permutative matrices, II
Spectral Theory
2018-12-27 v2
Abstract
In this work, the real nonnegative inverse eigenvalue problem is solved for a particular class of permutative matrix. The necessary and sufficient condition there is also shown to be sufficient for the symmetric nonnegative inverse eigenvalue problem. A result due to Johnson and Paparella [MR3452738, Linear Algebra Appl. 493 (2016), 281--300] is extended to include normalized lists that satisfy the new sufficient condition.
Keywords
Cite
@article{arxiv.1806.07036,
title = {Realizing Sule\u{i}manova spectra via permutative matrices, II},
author = {Pietro Paparella and Amber R. Thrall},
journal= {arXiv preprint arXiv:1806.07036},
year = {2018}
}