3 papers
math.MG2016
Convergences of Alternating Projections in CAT() Spaces
Byoung Jin Choi, Un Cig Ji, Yongdo Lim
We establish the asymptotic regularity and the -convergence of the sequence constructed by the alternating projections to closed convex sets in a CAT() space with . Fur…
math.MG2010
Monotonic Properties of the Least Squares Mean
Jimmie Lawson, Yongdo Lim
We settle an open problem of several years standing by showing that the least-squares mean for positive definite matrices is monotone for the usual (Loewner) order. Indeed we show…
math.FA2006
A General Framework for Extending Means to Higher Orders
Jimmie Lawson, Yongdo Lim
In this paper we study the problem of extending means to means of higher order. We show how higher order means can be inductively defined and established in general metric spaces,…