Abstract
We prove interlacing inequalities for the eigenvalues of the submatrices of (weakly) hyperbolic and gyroscopic quadratic pencils.
This work was partly done while the author stayed at the University of Osijek, under the support of National Foundation for Science, Higher Education and Technological Development of the Republic of Croatia.
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References
Azizov, T., Dijksma, A., Förster, K.-H., Jonas, P., Quadratic (weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems, Operator Theory: Advances and Applications, Vol. 198, Birkhäuser Basel 2009 (this volume).
Gohberg, I., Lancaster, P., Rodman, L., Matrices and indefinite scalar products, Birkhäuser Basel 1983.
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Dedicated to the memory of Peter Jonas, dear colleague and friend
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Veselić, K. (2009). Note on Interlacing for Hyperbolic Quadratic Pencils. In: Behrndt, J., Förster, KH., Trunk, C. (eds) Recent Advances in Operator Theory in Hilbert and Krein Spaces. Operator Theory: Advances and Applications, vol 198. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0180-1_17
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DOI: https://doi.org/10.1007/978-3-0346-0180-1_17
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0179-5
Online ISBN: 978-3-0346-0180-1
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