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Riemannian geometry and matrix geometric means

โœ Scribed by Rajendra Bhatia; John Holbrook


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
338 KB
Volume
413
Category
Article
ISSN
0024-3795

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We define a new family of matrix means {L ฮผ (ฯ‰; A)} ฮผโˆˆR where ฯ‰ and A vary over all positive probability vectors in R m and m-tuples of positive definite matrices resp. Each of these means interpolates between the weighted harmonic mean (ฮผ = -โˆž) and the arithmetic mean of the same weight (ฮผ = โˆž) wit