![](/images/graphics-bg.png)
An Inverse Eigenvalue Problem of Hermite-Hamilton Matrices in Structural Dynamic Model Updating
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We first consider the following inverse eigenvalue problem: given X∈Cn×m and a diagonal matrix Λ∈Cm×m, find n×n Hermite-Hamilton matrices K and M such that KX=MXΛ.
We then consider an optimal approximation problem: given n×n Hermitian matrices Ka and Ma, find a solution (K,M) of the above inverse problem such that ∥K-Ka∥2+∥M-Ma∥2=min.
By using the Moore-Penrose generalized inverse and the singular value decompositions, the solvability conditions and the representations of the general solution for the first problem are derived.
The expression of the solution to the second problem is presented.
American Psychological Association (APA)
Zhao, Linlin& Chen, Guo-Liang. 2010. An Inverse Eigenvalue Problem of Hermite-Hamilton Matrices in Structural Dynamic Model Updating. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-502131
Modern Language Association (MLA)
Zhao, Linlin& Chen, Guo-Liang. An Inverse Eigenvalue Problem of Hermite-Hamilton Matrices in Structural Dynamic Model Updating. Mathematical Problems in Engineering No. 2010 (2010), pp.1-11.
https://search.emarefa.net/detail/BIM-502131
American Medical Association (AMA)
Zhao, Linlin& Chen, Guo-Liang. An Inverse Eigenvalue Problem of Hermite-Hamilton Matrices in Structural Dynamic Model Updating. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-502131
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502131