Characterizations of Boundary Conditions on Some Non-Symmetric Cones. (3rd October 2021)

• Record Type: Journal Article
• Authors: Chang, Yu-Lin; Hu, Chu-Chin; Yang, Ching-Yu; Chen, Jein-Shan
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 13(2021)
• Page Start: 1572
• Page End: 1585
• Publication Date: 2021-10-03
• Subjects: Power cone -- p-order cone -- ellipsoidal cone -- non-symmetric cone; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.2006693
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.