Research Article

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

Published in: Quaestiones Mathematicae
Volume 45 , issue 10 , 2022 , pages: 1529–1537

DOI: 10.2989/16073606.2021.1951871

Author(s): B. Anehila ROC Mondriaan, The Netherlands , A.C.M. Ran VU Amsterdam, The Netherlands

Keywords: 15A18 , Rank one perturbations , M-matrices

Abstract

A conjecture from [3] 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.

« The geometry of the moduli space of non-cyclic biquadratic field extensions

Some notes on the paper “On best proximity points of interpolative proximal contractions” »