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Article: A smoothing Newton's method for the construction of a damped vibrating system from noisy test eigendata
Title | A smoothing Newton's method for the construction of a damped vibrating system from noisy test eigendata | ||||||||||||
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Authors | |||||||||||||
Keywords | Damped Vibrating System Eigendata Inverse Quadratic Eigenvalue Problem Newton's Method Quadratic Eigenvalue Problem | ||||||||||||
Issue Date | 2009 | ||||||||||||
Citation | Numerical Linear Algebra With Applications, 2009, v. 16 n. 2, p. 109-128 How to Cite? | ||||||||||||
Abstract | In this paper we consider an inverse problem for a damped vibration system from the noisy measured eigendata, where the mass, damping, and stiffness matrices are all symmetric positive-definite matrices with the mass matrix being diagonal and the damping and stiffness matrices being tridiagonal. To take into consideration the noise in the data, the problem is formulated as a convex optimization problem involving quadratic constraints on the unknown mass, damping, and stiffness parameters. Then we propose a smoothing Newton-type algorithm for the optimization problem, which improves a pre-existing estimate of a solution to the inverse problem. We show that the proposed method converges both globally and quadratically. Numerical examples arc also given to demonstrate the efficiency of our method. ©2008 John Wiley & Sons, Ltd. | ||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/156238 | ||||||||||||
ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 0.932 | ||||||||||||
ISI Accession Number ID |
Funding Information: Contract/grant sponsor: HKU Strategic Research Theme Fund on Computational Science | ||||||||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bai, ZJ | en_US |
dc.contributor.author | Ching, WK | en_US |
dc.date.accessioned | 2012-08-08T08:40:59Z | - |
dc.date.available | 2012-08-08T08:40:59Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Numerical Linear Algebra With Applications, 2009, v. 16 n. 2, p. 109-128 | en_US |
dc.identifier.issn | 1070-5325 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156238 | - |
dc.description.abstract | In this paper we consider an inverse problem for a damped vibration system from the noisy measured eigendata, where the mass, damping, and stiffness matrices are all symmetric positive-definite matrices with the mass matrix being diagonal and the damping and stiffness matrices being tridiagonal. To take into consideration the noise in the data, the problem is formulated as a convex optimization problem involving quadratic constraints on the unknown mass, damping, and stiffness parameters. Then we propose a smoothing Newton-type algorithm for the optimization problem, which improves a pre-existing estimate of a solution to the inverse problem. We show that the proposed method converges both globally and quadratically. Numerical examples arc also given to demonstrate the efficiency of our method. ©2008 John Wiley & Sons, Ltd. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Numerical Linear Algebra with Applications | en_US |
dc.subject | Damped Vibrating System | en_US |
dc.subject | Eigendata | en_US |
dc.subject | Inverse Quadratic Eigenvalue Problem | en_US |
dc.subject | Newton's Method | en_US |
dc.subject | Quadratic Eigenvalue Problem | en_US |
dc.title | A smoothing Newton's method for the construction of a damped vibrating system from noisy test eigendata | en_US |
dc.type | Article | en_US |
dc.identifier.email | Ching, WK:wching@hku.hk | en_US |
dc.identifier.authority | Ching, WK=rp00679 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1002/nla.608 | en_US |
dc.identifier.scopus | eid_2-s2.0-60749090313 | en_US |
dc.identifier.hkuros | 154203 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-60749090313&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 16 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 109 | en_US |
dc.identifier.epage | 128 | en_US |
dc.identifier.isi | WOS:000262765500002 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Bai, ZJ=7202524302 | en_US |
dc.identifier.scopusauthorid | Ching, WK=13310265500 | en_US |
dc.identifier.issnl | 1070-5325 | - |