Refinements of the trace inequality of Belmega, Lasaulce and Debbah
Shigeru Furuichi, Minghua Lin
TL;DR
This paper presents a refined version of a matrix trace inequality originally established by Belmega, Lasaulce, and Debbah, along with an additional improvement, advancing the theoretical understanding of matrix inequalities.
Contribution
The paper introduces new refinements and improvements to an existing matrix trace inequality, enhancing its bounds and applicability.
Findings
Established a new matrix trace inequality refinement
Provided an additional improvement to the existing inequality
Enhanced the theoretical bounds of matrix inequalities
Abstract
In this short paper, we show a certain matrix trace inequality and then give a refinement of the trace inequality proven by Belmega, Lasaulce and Debbah. In addition, we give an another improvement of their trace inequality.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results