与光谱几何均值和雷尼均值有关的对数大化

IF 0.5 Q3 MATHEMATICS ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-04-06 DOI:10.1007/s44146-024-00128-8

Raluca Dumitru, Jose A. Franco

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引用次数: 0

摘要

在本文中，我们研究了与光谱几何均值和rsamnyi均值相关的对数多数化。我们的目标是建立它们关于正定矩阵锥上的Thompson度规和Kim半度规的某些几何性质。我们还研究了这两种方法的测地线中间型结果和一些audenaert中间型不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Log-majorizations related to the spectral geometric and Rényi means

In this article we study log-majorizations related to the spectral geometric and Rényi means. Our goal is to establish certain geometric properties for them with respect to the Thompson metric and Kim’s semi-metric on the cone of positive definite matrices. We also study geodesic in-betweenness type results for these two means and some Audenaert-type in-betweenness inequalities.

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