English

A matrix trace inequality and its application

Functional Analysis 2010-08-23 v6

Abstract

In this short paper, we give a complete and affirmative answer to a conjecture on matrix trace inequalities for the sum of positive semidefinite matrices. We also apply the obtained inequality to derive a kind of generalized Golden-Thompson inequality for positive semidefinite matrices.

Keywords

Cite

@article{arxiv.1001.3803,
  title  = {A matrix trace inequality and its application},
  author = {Shigeru Furuichi and Minghua Lin},
  journal= {arXiv preprint arXiv:1001.3803},
  year   = {2010}
}
R2 v1 2026-06-21T14:37:37.621Z