Abstract
We define the Wasserstein mean of unipotent matrices by solving its corresponding matrix equation, and study its fundamental properties. Under a binomial expansion for the weighted geometric mean of unipotent matrices, we provide the explicit formula of two-variable Wasserstein means. Furthermore, we show that the explicit formula of multi-variable Wasserstein mean for
Acknowledgments
The authors are grateful to the reviewers for carefully reading the manuscript and providing valuable suggestions that have improved the quality of the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).