Structured eigenvalue perturbation theory

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Abstract

We give an overview of Volker Mehrmann’s work on structured perturbation theory of eigenvalues. In particular, we review his contributions on perturbations of structured pencils arising in control theory and of Hamiltonian matrices. We also give a brief outline of his work on structured rank one perturbations.

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Bora, S., & Karow, M. (2015). Structured eigenvalue perturbation theory. In Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann (pp. 199–222). Springer International Publishing. https://doi.org/10.1007/978-3-319-15260-8_8

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