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Original scientific paper

https://doi.org/10.3336/gm.51.1.12

On the correspondence between spectra of the operator pencil A-Λ B and of the operator B-1A

Ivica Nakić orcid id orcid.org/0000-0001-6549-7220 ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia


Full text: english pdf 233 Kb

page 197-221

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Abstract

This paper is concerned with the reduction of the spectral problem for symmetric linear operator pencils to a spectral problem for the single operator. Also, a Rayleigh-Ritz-like bounds on eigenvalues of linear operator pencils are obtained.

Keywords

Linear operator pencil; spectrum; Krein spaces

Hrčak ID:

160113

URI

https://hrcak.srce.hr/160113

Publication date:

15.6.2016.

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