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Tensor product and Hadamard product for the Wasserstein means (1908.09261v1)
Published 25 Aug 2019 in math.FA
Abstract: 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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