𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Geometric Construction for the Arithmetic Mean, the Geometric Mean and the Harmonic Mean of Two Positive Numbers

✍ Scribed by Adrien L. Hess


Book ID
114972302
Publisher
School Science and Mathematics Association
Year
1961
Tongue
English
Weight
58 KB
Volume
61
Category
Article
ISSN
0036-6803

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The matrix geometric mean of parameteriz
✍ 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