English

The geometry of spectral interlacing

Spectral Theory 2022-01-21 v2

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.

Keywords

Cite

@article{arxiv.2108.06285,
  title  = {The geometry of spectral interlacing},
  author = {Ricardo S. Leite and Carlos Tomei},
  journal= {arXiv preprint arXiv:2108.06285},
  year   = {2022}
}

Comments

15 pages, 1figure

R2 v1 2026-06-24T05:05:59.552Z