Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/2897
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Type: Journal article
Title: An inverse eigenvalue problem for the symmetric tridiagonal quadratic pencil with application of damped oscillatory systems
Author: Ram, Y.
Elhay, S.
Citation: SIAM Journal on Applied Mathematics, 1996; 56(1):232-244
Publisher: SIAM PUBLICATIONS
Issue Date: 1996
ISSN: 0036-1399
1095-712X
Abstract: A method is presented which constructs an n by n tridiagonal, symmetric, quadratic pencil which has its 2n eigenvalues and the 2n - 2 of its n - 1-dimensional leading principal subpencil prescribed. It is shown that if the given eigenvalues are distinct, there are at most 2n(2n-3)!/(n-2)! different solutions. In the degenerate case, where some of the given eigenvalues are common, there are an infinite number of solutions. Apart from finding the roots of certain polynomials, the problem is solved in a finite number of steps. Where the problem has only a finite number of solutions, they can all be found in a systematic manner. The method is demonstrated with a simple example and its use is illustrated with a practical engineering application in vibrations.
DOI: 10.1137/S0036139994267006
Appears in Collections:Aurora harvest 2
Mechanical Engineering publications

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