Kronecker products of Perron similarities
Spectral Theory
2021-10-28 v1 Rings and Algebras
Abstract
An invertible matrix is called a Perron similarity if one of its columns and the corresponding row of its inverse are both nonnegative or both nonpositive. Such matrices are of relevance and import in the study of the nonnegative inverse eigenvalue problem. In this work, Kronecker products of Perron similarities are examined and used to to construct ideal Perron similarities all of whose rows are extremal.
Cite
@article{arxiv.2110.14111,
title = {Kronecker products of Perron similarities},
author = {Janelle M. Dockter and Pietro Paparella and Robert L. Perry and Jonathan D Ta},
journal= {arXiv preprint arXiv:2110.14111},
year = {2021}
}