2006.407: Model-Updating for Symmetric Quadratic Eigenvalue Problems
2006.407: Peter Lancaster (2006) Model-Updating for Symmetric Quadratic Eigenvalue Problems.
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 157 Kb |
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 2000 > 15 Linear and multilinear algebra; matrix theory MSC 2000 > 65 Numerical analysis MSC 2000 > 74 Mechanics of deformable solids |
| MIMS number: | 2006.407 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 27 November 2006 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item