Eigenvalue inequalities for positive block matrices with the inradius of the numerical range
Functional Analysis
2021-12-01 v1
Abstract
We prove some eigenvalue inequalities for positive semidefinite matrices partitioned into four blocks. The inradius of the numerical range of the off-diagonal block contributes to these estimates. Some related norm inequalities are given and a conjecture is proposed.
Keywords
Cite
@article{arxiv.2111.15180,
title = {Eigenvalue inequalities for positive block matrices with the inradius of the numerical range},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:2111.15180},
year = {2021}
}
Comments
To appear in International J. Math