English

Note on regions containing eigenvalues of a matrix

Spectral Theory 2017-06-08 v1

Abstract

By excluding some regions, in which each eigenvalue of a matrix is not contained, from the \alpha\beta-type eigenvalue inclusion region provided by Huang et al.(Electronic Journal of Linear Algebra, 15 (2006) 215-224), a new eigenvalue inclusion region is given. And it is proved that the new region is contained in the \alpha\beta-type eigenvalue inclusion region.

Cite

@article{arxiv.1706.02010,
  title  = {Note on regions containing eigenvalues of a matrix},
  author = {Suhua Li and Qingbing Liu and Chaoqian Li},
  journal= {arXiv preprint arXiv:1706.02010},
  year   = {2017}
}

Comments

7 pages, 3 figures

R2 v1 2026-06-22T20:11:18.964Z