Structured Eigenvalue Perturbation Theory

Shreemayee Bora () and Michael Karow ()
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Shreemayee Bora: Indian Institute of Technology Guwahati, Department of Mathematics
Michael Karow: Technische Universität Berlin, Institut für Mathematik

Chapter Chapter 8 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 199-222 from Springer

Abstract: 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.

Keywords: Volker Mehrmann; Hamiltonian Matrices; Hamiltonian Schur Form; Structured Eigenvalue Problems; Mixed Signal Characteristics (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_8

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DOI: 10.1007/978-3-319-15260-8_8

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