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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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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

Nagel, Dominik 19 March 2021 (has links)
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.
Vandermonde matrix
stability analysis
subspace method
ESPRIT
clustered nodes
31.40 - Analysis: Allgemeines
31.76 - Numerische Mathematik
31.80 - Angewandte Mathematik
N40 - Numerical analysis
I90 - Miscellaneous
65-02 - Research exposition
G.1.0 - General
G.1.3 - Numerical Linear Algebra
ddc:510

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