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2006.407: Model-Updating for Symmetric Quadratic Eigenvalue Problems

2006.407: Peter Lancaster (2006) Model-Updating for Symmetric Quadratic Eigenvalue Problems.

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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 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

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