Abstract
In a general symmetric cone, we show that certain sequence of the Karcher means converges to the Log-Euclidean mean by using the fact that the Karcher mean is the limit of inductive means. One can see this as a generalization of the Lie-Trotter formula of positive definite matrices into a symmetric cone setting via the least squares mean.
Citation
Sejong Kim. Un Cig Ji. Sangho Kum. "An Approach to the Log-Euclidean Mean via the Karcher Mean on Symmetric Cones." Taiwanese J. Math. 20 (1) 191 - 203, 2016. https://doi.org/10.11650/tjm.20.2016.5559
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