The geometry of spectral interlacing

We provide a detailed description of the maps associated with spectral interlacing in two scenarios, for rank one perturbations and bordering of symmetric and Hermitian matrices. The arguments rely on standard techniques of nonlinear analysis.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2023-01, Vol.517 (1), p.126605, Article 126605
Main Authors: S. Leite, Ricardo, Tomei, Carlos
Format: Article
Language:English
Subjects:
Degree theory
Spectral interlacing
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Description
Summary:We provide a detailed description of the maps associated with spectral interlacing in two scenarios, for rank one perturbations and bordering of symmetric and Hermitian matrices. The arguments rely on standard techniques of nonlinear analysis.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126605