Tensor product and Hadamard product for the Wasserstein means

Tensor product and Hadamard product for the Wasserstein means

As one of the least squares mean, we consider the Wasserstein mean of positive definite Hermitian matrices. We verify in this paper the inequalities of the Wasserstein mean related with a strictly positive and unital linear map, the identity of the Wasserstein mean for tensor product, and some inequ...

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Veröffentlicht in:arXiv.org 2019-08
Hauptverfasser: Hwang, Jinmi, Kim, Sejong
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Mathematical analysis
Matrix methods
Tensors
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Zusammenfassung:As one of the least squares mean, we consider the Wasserstein mean of positive definite Hermitian matrices. We verify in this paper the inequalities of the Wasserstein mean related with a strictly positive and unital linear map, the identity of the Wasserstein mean for tensor product, and some inequalities of the Wasserstein mean for Hadamard product.
ISSN:2331-8422