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Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems
Joint Authors
Chen, Guo-Liang
Zhang, Xiang-Yun
Zhong, Hong-Xiu
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n×n real matrices M, D, G, and K, where M>0, K and D are symmetric, and G is skew-symmetric, so that the quadratic pencil Q(λ)=λ2M+λ(D+G)+K has the given k pairs as eigenpairs.
First, we construct a general solution to this problem with k≤n.
Then, with the special properties D=0 and K<0, we construct a particular solution.
Numerical results illustrate these solutions.
American Psychological Association (APA)
Zhong, Hong-Xiu& Chen, Guo-Liang& Zhang, Xiang-Yun. 2014. Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-491801
Modern Language Association (MLA)
Zhong, Hong-Xiu…[et al.]. Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-491801
American Medical Association (AMA)
Zhong, Hong-Xiu& Chen, Guo-Liang& Zhang, Xiang-Yun. Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-491801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491801