The condition number of Vandermonde matrices and its application to the stability analysis of a subspace method
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202103194121
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| DC Element | Wert | Sprache |
|---|---|---|
| dc.contributor.advisor | Prof. Dr. Stefan Kunis | ger |
| dc.creator | Nagel, Dominik | - |
| dc.date.accessioned | 2021-03-19T09:01:23Z | - |
| dc.date.available | 2021-03-19T09:01:23Z | - |
| dc.date.issued | 2021-03-19T09:01:24Z | - |
| dc.identifier.uri | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202103194121 | - |
| dc.description.abstract | 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. | eng |
| dc.rights | Attribution 3.0 Germany | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/de/ | * |
| dc.subject | Vandermonde matrix | eng |
| dc.subject | stability analysis | eng |
| dc.subject | subspace method | eng |
| dc.subject | ESPRIT | eng |
| dc.subject | clustered nodes | eng |
| dc.subject.ddc | 510 - Mathematik | ger |
| dc.title | The condition number of Vandermonde matrices and its application to the stability analysis of a subspace method | eng |
| dc.title.alternative | Die Konditionzahl von Vandermondematrizen und ihre Anwendung für die Stabilitätsanalyse einer Unterraummethode | ger |
| dc.type | Dissertation oder Habilitation [doctoralThesis] | - |
| thesis.location | Osnabrück | - |
| thesis.institution | Universität | - |
| thesis.type | Dissertation [thesis.doctoral] | - |
| thesis.date | 2021-02-12 | - |
| orcid.creator | https://orcid.org/0000-0002-4777-7496 | - |
| dc.contributor.referee | Prof. Dr. Dmitry Batenkov | ger |
| dc.subject.bk | 31.40 - Analysis: Allgemeines | ger |
| dc.subject.bk | 31.76 - Numerische Mathematik | ger |
| dc.subject.bk | 31.80 - Angewandte Mathematik | ger |
| dc.subject.zdm | N40 - Numerical analysis | ger |
| dc.subject.zdm | I90 - Miscellaneous | ger |
| dc.subject.msc | 15A18 - Eigenvalues, singular values, and eigenvectors | ger |
| dc.subject.msc | 65-02 - Research exposition | ger |
| dc.subject.ccs | G.1.0 - General | ger |
| dc.subject.ccs | G.1.3 - Numerical Linear Algebra | ger |
| Enthalten in den Sammlungen: | FB06 - E-Dissertationen | |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| thesis_nagel.pdf | Präsentationsformat | 2,18 MB | Adobe PDF | thesis_nagel.pdf  Öffnen/Anzeigen |
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