Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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COMPUTATION OF DIVERGENCES AND MEDIANS IN SECOND ORDER CONES

  • Kum, Sangho (Department of Mathematics Education, College of Education Chungbuk National University)
  • Received : 2020.12.29
  • Accepted : 2021.07.02
  • Published : 2021.12.15
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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.

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Acknowledgement

This work was supported by Basic Science Research Program through NRF Grant No.NRF-2017R1A2B1002008.

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