2018/06/19 by Paparella, Pietro, Thrall, Amber R.
#15A18 #15A29 #15A42 #15B48 #15B51 #FOS: Mathematics #Spectral Theory (math.SP)
paper · doi:10.48550/arxiv.1806.07036
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.