The geometry of spectral interlacing
Ricardo S. Leite, Carlos Tomei
TL;DR
This paper explores the geometric properties of spectral interlacing in symmetric and Hermitian matrices, focusing on rank one perturbations and bordering, using nonlinear analysis techniques.
Contribution
It offers a detailed geometric description of spectral interlacing maps for specific matrix perturbations, advancing understanding in matrix spectral theory.
Findings
Characterization of spectral interlacing maps
Application of nonlinear analysis techniques
Insights into rank one perturbations
Abstract
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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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Advanced Differential Equations and Dynamical Systems