A. Ran

most citedEigenvalues of rank one perturbations of unstructured matrices

4 citations · 4 across the 2 of their papers we have counts for

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math.FA2013

Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces

Sanne ter Horst, Andre C. M. Ran

It is known that two Banach space operators that are Schur coupled are also equivalent after extension, or equivalently, matricially coupled. The converse implication, that operato…

math.FA2011★ 4 cited

Eigenvalues of rank one perturbations of unstructured matrices

A. C. M. Ran, M. Wojtylak

Let $A$ be a fixed complex matrix and let $u, v$ be two vectors. The eigenvalues of matrices $A + τ u v^{⊤}$ $(τ \in R)$ form a system of intersecting curves. The dependence of…