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Canonical forms for Hamiltonian and symplectic matrices and pencils

We study canonical forms for Hamiltonian and
symplectic matrices or pencils under equivalence
transformations which keep the class invariant.
In contrast to other canonical forms our forms
are as close as possible to a triangular structure
in the same class. We give necessary and
sufficient conditions for the existence of
Hamiltonian and symplectic triangular Jordan,
Kronecker and Schur forms. The presented results
generalize results of Lin and Ho [17] and simplify
the proofs presented there.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18356
Date09 September 2005
CreatorsMehrmann, Volker, Xu, Hongguo
PublisherTechnische Universität Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
SourcePreprintreihe des Chemnitzer SFB 393
Rightsinfo:eu-repo/semantics/openAccess

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