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math.FA2024
Near-order relation of power means
Jinmi Hwang, Sejong Kim
On the setting of positive definite operators we study the near-order properties of power means such as the quasi-arithmetic mean (Hölder mean) and Rényi power mean. We see the mon…
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.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…