3 papers
math.FA2024
New multivariable mean from nonlinear matrix equation associated to the harmonic mean
Sejong Kim, Vatsalkumar N. Mer
Various multivariable means have been defined for positive definite matrices, such as the Cartan mean, Wasserstein mean, and Rényi power mean. These multivariable means have corres…
math.QA2023
Weak log-majorization and inequalities of power means
Miran Jeong, Sejong Kim
As non-commutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean and Rényi power means. We prove that the Lim-Pálfia's power mean…
math.FA2022
Revisit on spectral geometric mean
Luyining Gan, Sejong Kim
In this paper we introduce the limit, unique solution of the nonlinear equations, geodesic property, tolerance relations and pinch on the spectral geometric mean for two positive d…