Abstract
Some, rather rough, facts on the positioning of the eigenvalues were given in Chap. 15. Further, more detailed, information can be obtained, if the system is close to one with known properties. Such techniques go under the common name of ‘perturbation theory’. The simplest ‘thoroughly known’ system is the undamped one. Next to this lie the modally damped systems which were studied in Chap. 2. Both cases are the subject of the present chapter. In particular, estimates in the sense of Gershgorin will be obtained.
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© 2011 Springer-Verlag Berlin Heidelberg
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Veselić, K. (2011). Modal Approximation. In: Damped Oscillations of Linear Systems. Lecture Notes in Mathematics(), vol 2023. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21335-9_19
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DOI: https://doi.org/10.1007/978-3-642-21335-9_19
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21334-2
Online ISBN: 978-3-642-21335-9
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