TY - JOUR
AU - 이호수
AU - Lawson, Jimmie[Lawson, Jimmie]
AU - Lim, Yongdo[Lim, Yongdo]
DA - 201209
UR - http://hdl.handle.net/YU.REPOSITORY/27293
UR - http://dx.doi.org/10.1515/FORM.2011.096
AB - Taking a weighted version of Bini-Meini-Poloni symmetrization procedure for a multivariable geometric mean, we propose a definition for a weighted geometric mean of n positive definite matrices, where the weights vary over all n-dimensional positive probability vectors. We show that the weighted mean satisfies multidimensional versions of all properties that one would expect for a two-variable weighted geometric mean. Significant portions of the derivation can be and are carried out in general convex metric spaces, which means that the results have broader application than the setting of positive definite matrices.
LA - 영어
PB - WALTER DE GRUYTER GMBH
KW - CONVEXITY
TI - Weighted geometric means
ER -