Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum
1991 ◽
Vol 44
(1)
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pp. 42-53
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Keyword(s):
AbstractEigenvalue problems for selfadjoint quadratic operator polynomials L(λ) = Iλ2 + Bλ+ C on a Hilbert space H are considered where B, C∈ℒ(H), C >0, and |B| ≥ kI + k-l C for some k >0. It is shown that the spectrum of L(λ) is real. The distribution of eigenvalues on the real line and other spectral properties are also discussed. The arguments rely on the well-known theory of (weakly) hyperbolic operator polynomials.
2015 ◽
Vol 52-53
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pp. 88-104
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2016 ◽
Vol 72
(4)
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pp. 952-973
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Keyword(s):
1972 ◽
Vol 9
(4)
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pp. 410-422
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2010 ◽
Vol 233
(8)
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pp. 1733-1745
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2008 ◽
Vol 428
(11-12)
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pp. 2778-2790
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Keyword(s):
2008 ◽
Vol 85
(12)
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pp. 1815-1831
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Keyword(s):
2007 ◽
Vol 306
(1-2)
◽
pp. 284-296
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2015 ◽
Vol 30
◽
pp. 721-743
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