New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes
type: Item
instance of: scholarly article
title: New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes
zbMATH Open document ID: 1191.65041
author: Jiaofen Li
author: Lei Zhang
author: Xiyan Hu
published in: Journal of Computational and Applied Mathematics
publication date: 2010-05-21T00:00:00Z
review text: The authors construct a computationally efficient and symmetry preserving iterative algorithm based on the conjugate gradient least squares method to solve the matrix model updating problem. The method can both maintain the short recurrences and satisfy a minimization property. The authors show that the updated damping and stiffness matrices yield the unique least Frobenius norm solution of a new minimization problem. The proposed method updates the damping and stiffness matrices simultaneously and the updated model remains symmetric. The convergence of the algorithm is established. The efficiency and reliability of the proposed method is illustrated by using two numerical examples.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 65F18
zbMATH DE Number: 5710763
zbMATH Keywords: iteration method
zbMATH Keywords: inverse problem
zbMATH Keywords: optimal approximation
zbMATH Keywords: symmetry preserving iterative algorithm
zbMATH Keywords: conjugate gradient least squares method
zbMATH Keywords: matrix model updating problem
zbMATH Keywords: stiffness matrices
zbMATH Keywords: convergence
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
describes a project that uses: KELLEY
MaRDI profile type: Publication
full work available at URL: j.cam.2010.02.038
OpenAlex ID: W2016179758
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DOI: 10.1016/J.CAM.2010.02.038
description: scientific article; zbMATH DE number 5710763