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Some matrix inequalities of log-majorization type

Functional Analysis 2021-03-11 v1

Abstract

The purpose of this paper is two-fold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus' inequalities. Our results are stronger and more general than the existing ones.

Keywords

Cite

@article{arxiv.2103.06174,
  title  = {Some matrix inequalities of log-majorization type},
  author = {Bo-Yan Xi and Fuzhen Zhang},
  journal= {arXiv preprint arXiv:2103.06174},
  year   = {2021}
}
R2 v1 2026-06-23T23:58:04.476Z