Row Cones, Perron Similarities, and Nonnegative Spectra
Spectral Theory
2018-08-15 v1
Abstract
In further pursuit of the diagonalizable \emph{real nonnegative inverse eigenvalue problem} (RNIEP), we study the relationship between the \emph{row cone} and the \emph{spectracone} of a Perron similarity . In the process, a new kind of matrix, \emph{row Hadamard conic} (RHC), is defined and related to the D-RNIEP. Characterizations are given when , and explicit examples are given for all possible set-theoretic relationships between the two cones. The symmetric NIEP is the special case of the D-RNIEP in which the Perron similarity is also orthogonal.
Keywords
Cite
@article{arxiv.1611.02752,
title = {Row Cones, Perron Similarities, and Nonnegative Spectra},
author = {C. R. Johnson and Pietro Paparella},
journal= {arXiv preprint arXiv:1611.02752},
year = {2018}
}