Lancaster, Peter (2006) Model-Updating for Symmetric Quadratic Eigenvalue Problems. [MIMS Preprint]
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Abstract
This paper concerns quadratic matrix functions of the form L(λ) = Mλ² + Dλ +K where M, D, K are real and symmetric n × n matrices with M > 0. Given complete spectral information on L(λ), it is shown how new systems of the same type can be generated with updated eigenvalues and/or eigenvectors. A general purpose algorithm is formulated and illustrated with problems having no real eigenvalues, or a mixture of real and non-real eiegnvalues, or only real eigenvalues. The methods also apply for matrix polynomials of higher degree.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Vibrating systems, updating, pole placement. |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 74 Mechanics of deformable solids |
| Depositing User: | Ms Lucy van Russelt |
| Date Deposited: | 27 Nov 2006 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/654 |
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