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Computing the Karcher mean of symmetric positive definite matrices

✍ Scribed by Bini, Dario A.; Iannazzo, Bruno


Book ID
125477613
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
293 KB
Volume
438
Category
Article
ISSN
0024-3795

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✍ Moakher, Maher πŸ“‚ Article πŸ“… 2005 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 204 KB

In this paper we introduce metric-based means for the space of positive-definite matrices. The mean associated with the Euclidean metric of the ambient space is the usual arithmetic mean. The mean associated with the Riemannian metric corresponds to the geometric mean. We discuss some invariance pro