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Model-updating for self-adjoint quadratic eigenvalue problems

✍ Scribed by Peter Lancaster

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 145 KB
Volume: 428
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.12.023

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✦ Synopsis

This paper concerns quadratic matrix functions of the form L(λ) = Mλ 2 + Dλ + K where M, D, K are Hermitian n × n matrices with M > 0. It is shown how new systems of the same type can be generated with some eigenvalues and/or eigenvectors updated and this is accomplished without "spill-over" (i.e. other spectral data remain undisturbed). Furthermore, symmetry is preserved. The methods also apply for Hermitian matrix polynomials of higher degree.

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