Article
Some matrix inequalities of log-majorization type
Canadian Mathematical Bulletin
Document Type
Article
Publication Date
2-26-2021
Keywords
- Eigenvalue,
- Hua’s determinant inequality,
- log-majorization,
- majorization inequality.
Disciplines
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.
DOI
10.4153/S0008439521000102
Citation Information
Bo-Yan Xi and Fuzhen Zhang. "Some matrix inequalities of log-majorization type" Canadian Mathematical Bulletin Vol. 00 (2021) p. 1 - 11 ISSN: 1496-4287 Available at: http://works.bepress.com/fuzhen-zhang/178/
Xi’s work was partially supported by NNSF of China grant No.11361038.