Abstract
The notion of matrix entropy was introduced by Tropp and Chen with the aim of measuring the fluctuations of random matrices. It is a certain entropy functional constructed from a representing function with prescribed properties, and Tropp and Chen gave some examples. We give several abstract characterisations of matrix entropies together with a sufficient condition in terms of the second derivative of their representing function.
Original language | English |
---|---|
Pages (from-to) | 1399-1411 |
Number of pages | 13 |
Journal | Letters in Mathematical Physics |
Volume | 105 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2015 Oct 14 |
Keywords
- Fréchet differential
- matrix entropy
- operator convex function
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics