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

โœ Scribed by Moakher, Maher

Book ID
118024034
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
204 KB
Volume
26
Category
Article
ISSN
0895-4798

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A Differential Geometric Approach to the
A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
โœ Moakher, Maher ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 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