An Inverse Eigenvalue Problem for the Symmetric Tridiagonal Quadratic Pencil with Application to Damped Oscillatory Systems

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)! differ...

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Veröffentlicht in:	SIAM journal on applied mathematics 1996-02, Vol.56 (1), p.232-244
Hauptverfasser:	Ram, Yitshak M., Elhay, Sylvan
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Coefficients Construction Eigenvalues Inverse problems Linear algebra Mass spectroscopy Matrices Matrix Pencils Polynomials Spectral theory Vibration
Online-Zugang:	Volltext
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