Title
Analyticity of the Karcher mean coefficient maps
Document Type
Article
Publication Date
10-15-2021
Abstract
The main concern of this paper is the three-variable Karcher (alternatively, Riemannian or Cartan) matrix mean for 2×2 linearly independent triples of positive definite matrices. We show that such triples form an analytic manifold and obtain three analytic functions from (1,∞)2×(0,π/2) to (0,1) realizing the Karcher mean as a linear combination of variables.
Publication Source (Journal or Book title)
Linear Algebra and Its Applications
First Page
162
Last Page
184
Recommended Citation
Lawson, J., & Lim, Y. (2021). Analyticity of the Karcher mean coefficient maps. Linear Algebra and Its Applications, 627, 162-184. https://doi.org/10.1016/j.laa.2021.06.009
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