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Inequalities on 2 × 2 block positive semidefinite matrices.
- Source :
- Linear & Multilinear Algebra; Dec2022, Vol. 70 Issue 21, p6820-6829, 10p
- Publication Year :
- 2022
-
Abstract
- We obtain two matrix inequalities on the off-diagonal block of 2 × 2 block positive semidefinite matrices and the geometric mean of its diagonal blocks. They improve some results of Lee [Linear Algebra Appl. 2015:486;449–453] and extend some inequalities of Fujimoto and Seo [Linear Multilinear Algebra. 2018:66;1564–1577]. Applications to sector matrices are given. [ABSTRACT FROM AUTHOR]
- Subjects :
- MULTILINEAR algebra
LINEAR algebra
MATRICES (Mathematics)
MATRIX inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 21
- Database :
- Complementary Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 162841269
- Full Text :
- https://doi.org/10.1080/03081087.2021.1969327