An elementary proof of arithmetic-geometric mean inequality of the weighted Riemannian mean of positive definite matrices
The definition of the weighted Riemannian mean (WRM) and its known equational characterization are introduced in this article. This mean satisfies the famous ten properties of the ALM mean referring to Ando, Li, and Mathias. The author obtains a simple proof for arithmetic-geometric-harmonic mean inequalities of the WRM.
scientific article; zbMATH DE number 6142075
scientific article