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Structured Eigenvalue Perturbation Theory

In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

Author

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  • Shreemayee Bora

    (Indian Institute of Technology Guwahati, Department of Mathematics)

  • Michael Karow

    (Technische Universität Berlin, Institut für Mathematik)

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.

Suggested Citation

  • Shreemayee Bora & Michael Karow, 2015. "Structured Eigenvalue Perturbation Theory," Springer Books, in: Peter Benner & Matthias Bollhöfer & Daniel Kressner & Christian Mehl & Tatjana Stykel (ed.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, edition 127, chapter 0, pages 199-222, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-15260-8_8
    DOI: 10.1007/978-3-319-15260-8_8
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