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Arithmetic, geometric, harmonic, and quadratic means

✍ Scribed by Charles A. Cameron

Book ID
112956469
Publisher
Springer-Verlag
Year
1894
Tongue
English
Weight
393 KB
Volume
97
Category
Article
ISSN
1863-4362

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πŸ“œ SIMILAR VOLUMES

The matrix geometric mean of parameteriz
The matrix geometric mean of parameterized, weighted arithmetic and harmonic means
✍ Sejong Kim; Jimmie Lawson; Yongdo Lim πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 265 KB

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