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
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Inequalities
Mathematical analysis
Matrix methods
Tensors
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description 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.
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subjects Inequalities
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Matrix methods
Tensors
title Tensor product and Hadamard product for the Wasserstein means
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