Abstract
Recently, a new Riemannian metric and a least squares mean of positive definite matrices have been introduced. They are called the Bures–Wasserstein metric and Wasserstein mean, which are different from the Riemannian trace metric and Karcher mean. In this paper we find relationships of the Wasserstein mean with other matrix means such as the power means, harmonic mean, and Karcher mean.
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