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math.FA2018
Geometric Mean of Partial Positive Definite Matrices with Missing Entries
Hayoung Choi, Sejong Kim, Yuanming Shi
In this paper the geometric mean of partial positive definite matrices with missing entries is considered. The weighted geometric mean of two sets of positive matrices is defined,…
math.FA2018
Bounds for the Wasserstein mean with applications to the Lie-Trotter mean
Jinmi Hwang, Sejong Kim
As the least squares mean for the Riemannian trace metric on the cone of positive definite matrices, the Riemannian mean with its computational and theoretical approaches has been…