Hinweis

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http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601470

Kurzfassung in Englisch

When the eigenvalues of a given eigenvalue problem
are symmetric with respect to the real and the
imaginary axes, we speak about a Hamiltonian
eigenvalue symmetry or a Hamiltonian structure of
the spectrum. This property can be exploited for
an efficient computation of the eigenvalues.
For some elliptic boundary value problems it is
known that the derived eigenvalue problems have
this Hamiltonian symmetry. Without having a
specific application in mind, we trace the question,
under which assumptions the spectrum of a given
quadratic eigenvalue problem possesses the
Hamiltonian structure.

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