Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 607, Issue -, Pages 45-57Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2020.08.003
Keywords
Means of operators; Renyi divergences; Power means; Equations of operators
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In this article we introduce a new family of power means for m positive definite matrices, called Renyi power means. These means are defined in terms of the matrix function Q(a,z)(A, B0 = (B1-a/22 Aa/2 B1-a/22)(z), related to the Renyi divergence. We study several properties of these means and some related norm inequalities. (C) 2020 Elsevier Inc. All rights reserved.
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