A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable?
Rings and Algebras
2020-09-29 v2 Numerical Analysis
Abstract
The positive stability and D-stability of singular M-matrices, perturbed by (non-trivial) nonnegative rank one perturbations, is investigated. In special cases positive stability or D-stability can be established. In full generality this is not the case, as illustrated by a counterexample. However, matrices of the mentioned form are shown to be P-matrices.
Keywords
Cite
@article{arxiv.1312.2491,
title = {A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable?},
author = {Joris Bierkens and André Ran},
journal= {arXiv preprint arXiv:1312.2491},
year = {2020}
}