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math.MG2026
Mostow-Type Decompositions and Geometric Means for Symmetric Cones
Khalid Koufany, Yongdo Lim
Motivated by Mostow's decomposition theorem for positive definite matrices and by subsequent matrix factorizations involving geometric means, we establish a Mostow-type decompositi…
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…