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Matrix power means and the Karcher mean

✍ Scribed by Yongdo Lim; Miklós Pálfia


Book ID
113710184
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
184 KB
Volume
262
Category
Article
ISSN
0022-1236

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We define a new family of matrix means {L μ (ω; A)} μ∈R where ω 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 (μ = -∞) and the arithmetic mean of the same weight (μ = ∞) wit