Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598721 | Linear Algebra and its Applications | 2016 | 16 Pages |
Abstract
In this paper we determine those bijective maps of the set of all positive definite nÃn complex matrices which preserve a given Bregman divergence corresponding to a differentiable convex function that satisfies certain conditions. We cover the cases of the most important Bregman divergences and present the precise structure of the mentioned transformations. Similar results concerning Jensen divergences and their preservers are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lajos Molnár, József Pitrik, Dániel Virosztek,