Inequalities for the Wasserstein mean of positive definite matrices

Authors

Rajendra Bhatia, Ashoka University
Tanvi Jain, Indian Statistical Institute (Delhi Centre)
Yongdo Lim, Sungkyunkwan University

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

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.

First Page

108

Last Page

123

DOI

10.1016/j.laa.2018.03.017

Publication Date

9-1-2019

Comments

Open Access, Green

Recommended Citation

Bhatia, Rajendra; Jain, Tanvi; and Lim, Yongdo, "Inequalities for the Wasserstein mean of positive definite matrices" (2019). Journal Articles. 737.
https://digitalcommons.isical.ac.in/journal-articles/737