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An Oppenheim type inequality for positive definite block matrices.
- Source :
-
Linear & Multilinear Algebra . Dec2022, Vol. 70 Issue 19, p4455-4466. 12p. - Publication Year :
- 2022
-
Abstract
- We present an Oppenheim type determinantal inequality for positive definite block matrices. Recently, Lin [Linear Algebra Appl. 2014;452:1–6] proved a remarkable extension of Oppenheim type inequality for block matrices, which solved a conjecture of Günther and Klotz. There is a requirement that two matrices commute in Lin's result. The motivation of this paper is to obtain another natural and general extension of Oppenheim type inequality for block matrices to get rid of the requirement that two matrices commute. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR algebra
*MATRIX inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 19
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 162536139
- Full Text :
- https://doi.org/10.1080/03081087.2021.1882370