Spectral perturbation by rank-$m$ matrices
Spectral Theory
2023-08-08 v2
Abstract
Let and designate matrices with coefficients in a field . In this paper, we completely answer the following question: For fixed, what are the possible characteristic polynomials of , where ranges over matrices of rank ?
Cite
@article{arxiv.2306.10253,
title = {Spectral perturbation by rank-$m$ matrices},
author = {Jonathan L. Merzel and Ján Mináč and Tung T. Nguyen and Federico W. Pasini},
journal= {arXiv preprint arXiv:2306.10253},
year = {2023}
}
Comments
To appear in Operators and Matrices