The Rényi power means of matrices
Document Type
Article
Publication Date
12-15-2020
Abstract
In this article we introduce a new family of power means for m positive definite matrices, called Rényi power means. These means are defined in terms of the matrix function [Formula presented] related to the Rényi divergence. We study several properties of these means and some related norm inequalities.
Publication Title
Linear Algebra and Its Applications
Volume
607
First Page
45
Last Page
57
Digital Object Identifier (DOI)
10.1016/j.laa.2020.08.003
ISSN
00243795
Citation Information
Dumitru, R., Franco, J. A. (2020) The Rényi Power Means of Matrices. Linear Algebra and Its Applications, 607, 45-57.
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