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On the geometrical structure of symmetric matrices

✍ Scribed by Roberto Andreani; Marcos Raydan; Pablo Tarazaga

Book ID
118049447
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
365 KB
Volume
438
Category
Article
ISSN
0024-3795

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A Differential Geometric Approach to the
A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
✍ 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