English

Inequalities for selected eigenvalues of the product of matrices

Functional Analysis 2019-05-13 v1

Abstract

The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.

Keywords

Cite

@article{arxiv.1905.03821,
  title  = {Inequalities for selected eigenvalues of the product of matrices},
  author = {Bo-Yan Xi and Fuzhen Zhang},
  journal= {arXiv preprint arXiv:1905.03821},
  year   = {2019}
}

Comments

to appear in AMS Proceedings