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math.NA2020
Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices
A. C. M. Ran, Michal Wojtylak
General properties of eigenvalues of as functions of $τ\in\Comp$ or $τ\in\Real$ or $τ=\e^{\iiθ}$ on the unit circle are considered. In particular, the problem of existenc…
math.FA2020
th roots of -selfadjoint matrices
G. J. Groenewald, D. B. Janse van Rensburg, A. C. M. Ran +2
In this paper necessary and sufficient conditions are given for the existence of an -selfadjoint th root of a given -selfadjoint matrix. A construction is given of such an…
math.FA2020
A note on a conjecture concerning rank one perturbations of singular M-matrices
B. Anehila, A. C. M. Ran
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 fo…