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math.SP2018
Applications of a class of Herglotz operator pencils
Andrea K. Barreiro, Jared C. Bronski, Zoi Rapti
We identify a class of operator pencils, arising in a number of applications, which have only real eigenvalues. In the one-dimensional case we prove a novel version of the Sturm os…
math.SP2017
A geometric method for eigenvalue problems with low rank perturbations
Thomas J. Anastasio, Andrea K. Barreiro, Jared C Bronski
We consider the problem of finding the spectrum of an operator taking the form of a low-rank (rank one or two) non-normal perturbation of a well-understood operator, motivated by a…