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Applications of geometric means on symmetric cones

✍ Scribed by Yongdo Lim


Book ID
105743041
Publisher
Springer
Year
2001
Tongue
English
Weight
83 KB
Volume
319
Category
Article
ISSN
0025-5831

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A Differential Geometric Approach to the
✍ 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