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Diagonalizable quadratic eigenvalue problems
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DOI：10.1016/j.ymssp.2008.11.007.png)
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Abstract
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A system is defined to be an n x n matrix function L(lambda) = lambda M-2 + lambda D + K where M, D, K is an element of C-nxn and M is nonsingular. First, a careful review is made of the possibility of direct decoupling to a diagonal (real or complex) system by applying congruence or strict equivalence transformations to L(lambda). However, the main contribution is a complete description of the much wider class of systems which can be decoupled by applying congruence or strict equivalence transformations to a linearization of a system while preserving the structure of L(lambda). The theory is liberally illustrated with examples. (C) 2008 Published by Elsevier Ltd.
Keywords:
Damped systems
Decoupling
Diagonalization
Linearization
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