English

A note on a conjecture concerning rank one perturbations of singular M-matrices

Functional Analysis 2021-06-22 v3 Spectral Theory

Abstract

A conjecture from a paper by J. Bierkens and A.C.M. Ran concerning the location of eigenvalues of rank one perturbations of singular M-matrices is shown to be false in dimension four and higher, but true for dimension two, as well as for dimension three with an additional condition on the perturbation.

Keywords

Cite

@article{arxiv.2007.11453,
  title  = {A note on a conjecture concerning rank one perturbations of singular M-matrices},
  author = {B. Anehila and A. C. M. Ran},
  journal= {arXiv preprint arXiv:2007.11453},
  year   = {2021}
}

Comments

12 pages, 3 figures