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  4. Non nodal condensation of eigenvalue problems
 
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Non nodal condensation of eigenvalue problems

Citation Link: https://doi.org/10.15480/882.181
Publikationstyp
Working Paper
Date Issued
1997-01
Sprache
English
Author(s)
Mackens, Wolfgang 
Voß, Heinrich 
Institut
Mathematik E-10  
TORE-DOI
10.15480/882.181
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/183
First published in
Preprints des Institutes für Mathematik  
Number in series
10
We generalize the Guyan condensation of large symmetric eigenvalue problems to allow general degrees of freedom to be master variables. On one hand useful information from other condensation methods (such as Component Mode Synthesis) thus can be incorporated into the method. On the other hand this opens the way to iterative refinement of eigenvector approximations. Convergence of such a procedure follows from the result, that one step of (static) condensation is equivalent to one step of inverse subspace iteration. A short outlook on several applications is included.
Subjects
Symmetric eigenvalue problem
Guyan condensation
generalized condensation
DDC Class
510: Mathematik
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
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