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.
| Original language | American English |
|---|---|
| Pages (from-to) | 95-105 |
| Number of pages | 11 |
| Journal | Canadian Mathematical Bulletin |
| Volume | 65 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 26 2022 |
Bibliographical note
Publisher Copyright:© Canadian Mathematical Society 2021.
Funding
Xi’s work was partially supported by NNSF of China grant no. 11361038.
| Funders | Funder number |
|---|---|
| National Natural Science Foundation of China | 11361038 |
ASJC Scopus Subject Areas
- General Mathematics
Keywords
- Eigenvalue
- Hua’s determinant inequality
- log-majorization
- majorization inequality.
- majorization inequality
Disciplines
- Mathematics
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