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  4. Prolongations- und Iterationsverfahren zur Ermittlung invarianter Unterräume aus Messdaten von Eigenpaaren
 
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Prolongations- und Iterationsverfahren zur Ermittlung invarianter Unterräume aus Messdaten von Eigenpaaren

Citation Link: https://doi.org/10.15480/882.805
Other Titles
Prolongation methods and iterative refinement for the determination of invariant subspaces from measurements of eigenpairs
Publikationstyp
Doctoral Thesis
Date Issued
2010
Sprache
German
Author(s)
Ebeling, Bastian  
Advisor
Mackens, Wolfgang
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2010-05-31
Institut
Mathematik E-10  
TORE-DOI
10.15480/882.805
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/807
This thesis is concerned with the discrete symmetric algebraic eigenvalue problem. The first part deals with the question how to get approximate eigenvectors from estimated eigenvalues and related sampling values of the corresponding eigenvector. An error bound for the result in terms of the error of measurement is presented. In the second part iterations are derived, which enhance the approximations from part one, again making use of the measured values. A convergence proof for a fixpoint type iteration is given. Further
a new idea for block-lock'n'purge in rational Krylov methods using those samplings is introduced.
Subjects
Eigenwerte
Eigenvektoren
iterative Blockmethoden
Eigenpaarmessungen
eigenvalue
eigenvector
eigenpairs
rational Krylov methods
FIxpoint type iteration
DDC Class
510: Mathematik
Lizenz
http://doku.b.tu-harburg.de/doku/lic_mit_pod.php
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