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Maps on positive definite matrices preserving Bregman and Jensen divergences

  • Published:2016-04 Issue: Volume:495 Page:174-189
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Molnár Lajos,Pitrik József,Virosztek Dániel

Funder

Hungarian Academy of Sciences

Hungarian Scientific Research Fund

Hungarian State

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference15 articles.

1. Trace inequalities and quantum entropy: an introductory course;Carlen;Contemp. Math.,2010

2. Means of Hermitian positive-definite matrices based on the log-determinant α-divergence function;Chebbi;Linear Algebra Appl.,2012

3. Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C⁎-algebras;Hatori;J. Math. Anal. Appl.,2014

4. Matrix Analysis;Horn,1990

5. Regularity Properties of Functional Equations in Several Variables;Járai,2005

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