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On an inverse spectral problem for a quadratic Jacobi matrix pencil |
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| Authors: | Yuri Agranovich |
| Institution: | a Department of Information Technology, Voronezh State Technical University, Moskovskii prospect 14, 394026 Voronezh, Russia b Department of Mathematics, Voronezh State University, Universitetskaya pl. 1, 394693 Voronezh, Russia c Department of Mathematics and Physics, Military Institute for Radio Electronics, ul. Krasnoznamennaya 153, 394020 Voronezh, Russia d Department of Mathematics, University of Groningen, PO Box 800, 900 AV Groningen, The Netherlands |
| Abstract: | Given two monic polynomials P2n and P2n−2 of degree 2n and 2n−2 (n?2) with complex coefficients and with disjoint zero sets. We give necessary and sufficient conditions on these polynomials such that there exist two n×n Jacobi matrices B and C for which  |
| Keywords: | Quadratic matrix pencil Jacobi matrix Vibrating system Euclid's algorithm Inverse spectral problem |
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