Bounds via spectral radius-preserving row sum expansions
Spectral Theory
2022-03-01 v1 Combinatorics
Abstract
We show a simple method for constructing larger matrices but preserving the spectral radius. This yields a sufficient criteria for two square matrices of arbitrary dimension have the same spectral radius, a way to compare spectral radii of two matrices, and a way to derive new upper and lower bounds on spectral radius which give the standard row sum bounds as a special case.
Cite
@article{arxiv.2202.13776,
title = {Bounds via spectral radius-preserving row sum expansions},
author = {Joseph P Stover},
journal= {arXiv preprint arXiv:2202.13776},
year = {2022}
}