Tensor product and Hadamard product for the Wasserstein means
Functional Analysis
2019-08-27 v1
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.
Keywords
Cite
@article{arxiv.1908.09261,
title = {Tensor product and Hadamard product for the Wasserstein means},
author = {Jinmi Hwang and Sejong Kim},
journal= {arXiv preprint arXiv:1908.09261},
year = {2019}
}
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14 pages