Inequalities for the Wasserstein mean of positive definite matrices
Linear Algebra and Its Applications
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.
Bhatia, Rajendra; Jain, Tanvi; and Lim, Yongdo, "Inequalities for the Wasserstein mean of positive definite matrices" (2019). Journal Articles. 737.