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The condition number of Vandermonde matrices and its application to the stability analysis of a subspace method / Die Konditionzahl von Vandermondematrizen und ihre Anwendung für die Stabilitätsanalyse einer Unterraummethode

This thesis consists of two main parts. First of all, the condition number of rectangular Vandermonde matrices with nodes on the complex unit circle is studied. The first time quantitative bounds for the extreme singular values are proven in the multivariate setting and when nodes of the Vandermonde matrix form clusters. In the second part, an optimized presentation of the deterministic stability analysis of the subspace method ESPRIT is given and results from the first part are applied.

Identiferoai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-202103194121
Date19 March 2021
CreatorsNagel, Dominik
ContributorsProf. Dr. Stefan Kunis, Prof. Dr. Dmitry Batenkov
Source SetsUniversität Osnabrück
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf, application/zip
RightsAttribution 3.0 Germany, http://creativecommons.org/licenses/by/3.0/de/

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