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<p>In this article we introduce and study properties of a new family of two-variable means that interpolate between the weighted spectral geometric and Wasserstein means of positive definite matrices. This new family of means are called quasi-Wasserstein means. We show that they behave with respect to the near order, analogously to the Lim-Palfia’s power means in the Loewner order.</p>

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Quasi-Wasserstein Means of Matrices

  • 期刊论文

  • 发表日期：

    2025年7月29日

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  • Raluca Dumitru,
  • Jose A. Franco,
  • Sejong Kim

摘要

In this article we introduce and study properties of a new family of two-variable means that interpolate between the weighted spectral geometric and Wasserstein means of positive definite matrices. This new family of means are called quasi-Wasserstein means. We show that they behave with respect to the near order, analogously to the Lim-Palfia’s power means in the Loewner order.