22 citations · 27 across the 12 of their papers we have counts for
19 papers
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…
The Expanding Universe of the Geometric Mean
Jimmie D. Lawson, Yongdo Lim
In this paper the authors seek to trace in an accessible fashion the rapid recent development of the theory of the matrix geometric mean in the cone of positive definite matrices u…
A GPM-based algorithm for solving regularized Wasserstein barycenter problems in some spaces of probability measures
S. Kum, M. H. Duong, Y. Lim +1
In this paper, we focus on the analysis of the regularized Wasserstein barycenter problem. We provide uniqueness and a characterization of the barycenter for two important classes…
Strong law of large numbers for the -Karcher mean
Yongdo Lim, Miklós Pálfia
Sturm's strong law of large numbers in spaces has been an influential tool to study the geometric mean or also called Karcher barycenter of positive definite matr…
Operator means of probability measures
Fumio Hiai, Yongdo Lim
Let be the complete metric space consisting of positive invertible operators on an infinite-dimensional Hilbert space with the Thompson metric. We introduce the notion…
Convergence of a Solution Algorithm in Indefinite Quadratic Programming
Tran Hung Cuong, Yongdo Lim, Nguyen Dong Yen
It is proved that, for an indefinite quadratic programming problem under linear constraints, any iterative sequence generated by the Proximal DC decomposition algorithm -linearl…