Ontology type: schema:Chapter
2009
AUTHORST. Ya. Azizov , A. Dijksma , K.-H. Förster , P. Jonas
ABSTRACTLet L be a monic quadratic weakly hyperbolic or hyperbolic n × n matrix polynomial. We solve some direct spectral problems: We prove that the eigenvalues of a compression of L to an (n − 1)-dimensional subspace of ℂn block-interlace and that the eigenvalues of a one-dimensional perturbation of L (−,+)-interlace the eigenvalues of L. We also solve an inverse spectral problem: We identify two given block-interlacing sets of real numbers as the sets of eigenvalues of L and its compression. More... »
PAGES11-40
Recent Advances in Operator Theory in Hilbert and Krein Spaces
ISBN
978-3-0346-0179-5
978-3-0346-0180-1
http://scigraph.springernature.com/pub.10.1007/978-3-0346-0180-1_2
DOIhttp://dx.doi.org/10.1007/978-3-0346-0180-1_2
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