Bierkens, JorisRan, André2016-02-082016-02-082014Bierkens, J. & Ran, A. 2014. A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? Linear algebra and its applications, 457:191-208. [http://www.journals.elsevier.com/linear-algebra-and-its-applications/]0024-3795http://hdl.handle.net/10394/16208The 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-matricesenStabilityM-matricesD-stabilitynonnegative matricesPerron–Frobenius theoryspectral theoryrank one perturbationArticle