Revisiting Some Relationships Between the Weighted Spectral Mean and the Wasserstein Mean

  1. Minh Thanh Duong
  2. Anh Vu Le
  3. Cong Trinh Le
  4. Trung Hoa Dinh
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Abstract

In this paper, we introduce the 2-geometric mean and explore its connections with the spectral geometric mean and the Wasserstein mean for positive definite matrices. Additionally, we revisit and establish several inequalities involving these means in the context of the near order relation.

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  1. Version published to 10.3390/math13101689
  2. Version published to 10.20944/preprints202504.0840.v1