Characterisation of Matrix Entropies

Frank Hansen, Zhihua Zhang

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)1399-1411
Number of pages13
JournalLetters in Mathematical Physics
Volume105
Issue number10
DOIs
Publication statusPublished - 2015 Oct 14

Keywords

  • Fréchet differential
  • matrix entropy
  • operator convex function

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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