A new eigenvalue embedding approach for finite element model updating
type: Item
instance of: scholarly article
title: A new eigenvalue embedding approach for finite element model updating
zbMATH Open document ID: 1210.15010
published in: Taiwanese Journal of Mathematics
publication date: 2010-09-02T00:00:00Z
review text: It is described how to perturb the matrices of a real \(n\times n\) quadratic symmetric eigenproblem so that some chosen eigenvalues are moved to prescribed positions. Real eigenvalues can be perturbed into complex pairs and vice versa and the eigenvectors may be changed. The perturbation is effected using a block diagonalization of an equivalent \(2n\times 2n\) linear eigenvalue problem. Optimality of the perturbation in terms of rank and norm is discussed. The results are illustrated on a small mechanical spring system.
reviewed by: Axel Ruhe
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 65F18
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 70J99
zbMATH DE Number: 5778014
zbMATH Keywords: quadratic eigenvalue problem
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: vibrating system
zbMATH Keywords: numerical examples
author: Yun-Feng Cai
author: Shu-Fang Xu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500405874
OpenAlex ID: W4255779242
DOI: 10.11650/TWJM/1500405874
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description: scientific article; zbMATH DE number 5778014