Characterizations of Boundary Conditions on Some Non-Symmetric Cones

Yu Lin Chang, Chu Chin Hu, Ching Yu Yang, Jein Shan Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In contrast to symmetric cone optimization, there has no unified framework for non-symmetric cone optimization. One main reason is that the structure of various non-symmetric cone differs case by case. Especially, their boundary conditions are usually mysterious. In this paper, we provide characterizations of boundary conditions on some non-symmetric cones, including p-order cone, ellipsoidal cone, power cone and general closed convex cone. These results will be key bricks for further investigations on non-symmetric cone optimization accordingly.

Original languageEnglish
Pages (from-to)1572-1585
Number of pages14
JournalNumerical Functional Analysis and Optimization
Issue number13
Publication statusPublished - 2021


  • Power cone
  • ellipsoidal cone
  • non-symmetric cone
  • p-order cone

ASJC Scopus subject areas

  • Analysis
  • Signal Processing
  • Computer Science Applications
  • Control and Optimization


Dive into the research topics of 'Characterizations of Boundary Conditions on Some Non-Symmetric Cones'. Together they form a unique fingerprint.

Cite this