Abstract
The study of inverse problems for n × n-systems of the form L(λ) ≔ Mλ2 + Dλ + K is continued. In this paper it is assumed that one vibrating system is specified and the objective is to generate isospectral families of systems, i.e., systems which reproduce precisely the eigenvalues of the given system together with their multiplicities. Two central ideas are developed and used, namely, standard triples of matrices, and structure preserving transformations.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Prells, U., Lancaster, P. (2005). Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations. In: Langer, M., Luger, A., Woracek, H. (eds) Operator Theory and Indefinite Inner Product Spaces. Operator Theory: Advances and Applications, vol 163. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7516-7_12
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DOI: https://doi.org/10.1007/3-7643-7516-7_12
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7515-7
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