The geometry of spectral interlacing

We provide a detailed description of the maps associated with spectral interlacing, 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:arXiv.org 2022-01
Main Authors: Leite, Ricardo S, Tomei, Carlos
Format: Article
Language:English
Subjects:
Mathematical analysis
Matrices (mathematics)
Nonlinear analysis
Perturbation
Online Access:Get full text
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Description
Summary:We provide a detailed description of the maps associated with spectral interlacing, for rank one perturbations and bordering of symmetric and Hermitian matrices. The arguments rely on standard techniques of nonlinear analysis.
ISSN:2331-8422