The matrix geometric mean of parameteriz
β
Sejong Kim; Jimmie Lawson; Yongdo Lim
π
Article
π
2011
π
Elsevier Science
π
English
β 265 KB
We define a new family of matrix means {L ΞΌ (Ο; A)} ΞΌβR 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 = -β) and the arithmetic mean of the same weight (ΞΌ = β) wit