[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.22771/nfaa.2021.26.04.01

COMPUTATION OF DIVERGENCES AND MEDIANS IN SECOND ORDER CONES

Kum, Sangho (Department of Mathematics Education, College of Education Chungbuk National University)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.4, 2021 , pp. 649-662 More about this Journal

Abstract

Recently the author studied a one-parameter family of divergences and considered the related median minimization problem of finite points over these divergences in general symmetric cones. In this article, to utilize the results practically, we deal with a special symmetric cone called second order cone, which is important in optimization fields. To be more specific, concrete computations of divergences with its gradients and the unique minimizer of the median minimization problem of two points are provided skillfully.

Keywords

Symmetric cone; Euclidean Jordan algebra; divergence; median; second order cone; Wasserstein barycenter;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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