Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications

Peter Benner (), Daniel Kressner () and Volker Mehrmann ()
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Peter Benner: Technische Universität Chemnitz, Fakultät für Mathematik
Daniel Kressner: Technische Universität Berlin, Institut für Mathematik
Volker Mehrmann: Technische Universität Berlin, Institut für Mathematik

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 3-39 from Springer

Abstract: Abstract Skew-Hamiltonian and Hamiltonian eigenvalue problems arise from a number of applications, particularly in systems and control theory. The preservation of the underlying matrix structures often plays an important role in these applications and may lead to more accurate and more efficient computational methods. We will discuss the relation of structured and unstructured condition numbers for these problems as well as algorithms exploiting the given matrix structures. Applications of Hamiltonian and skew-Hamiltonian eigenproblems are briefly described.

Keywords: Hamiltonian matrix; skew-Hamiltonian matrix; structured condition numbers; structure-preserving algorithms (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_1

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DOI: 10.1007/1-4020-3197-1_1

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