English

On Kippenhahn curves and higher-rank numerical ranges of some matrices

Functional Analysis 2021-04-19 v1

Abstract

The higher rank numerical ranges of generic matrices are described in terms of the components of their Kippenhahn curves. Cases of tridiagonal (in particular, reciprocal) 2-periodic matrices are treated in more detail.

Keywords

Cite

@article{arxiv.2104.07893,
  title  = {On Kippenhahn curves and higher-rank numerical ranges of some matrices},
  author = {Natália Bebiano and Joáo da Providéncia and Ilya M. Spitkovsky},
  journal= {arXiv preprint arXiv:2104.07893},
  year   = {2021}
}

Comments

14 pages, 10 figures