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arXiv · 1803.03357

Inequalities for the Wasserstein mean of positive definite matrices

Rajendra Bhatia·Tanvi Jain·Yongdo Lim
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Abstract

We prove majorization inequalities for different means of positive definite matrices. These include the Cartan mean (the Karcher mean), the log Euclidean mean, the Wasserstein mean and the power mean.

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Rajendra Bhatia, Tanvi Jain, Yongdo Lim. 2018-03-09. Inequalities for the Wasserstein mean of positive definite matrices. https://arxiv.org/abs/1803.03357

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