Please use this identifier to cite or link to this item: http://rportal.lib.ntnu.edu.tw:80/handle/77345300/80306
Title: An alternative approach for a distance inequality associated with the second-order cone and the circular cone
Authors: Miao, Xin-He
Lin, Yen-chi R
Chen, Jein-Shan
Issue Date: 22-Nov-2016
Citation: Journal of Inequalities and Applications. 2016 Nov 22;2016(1):291
Abstract: Abstract It is well known that the second-order cone and the circular cone have many analogous properties. In particular, there exists an important distance inequality associated with the second-order cone and the circular cone. The inequality indicates that the distances of arbitrary points to the second-order cone and the circular cone are equivalent, which is crucial in analyzing the tangent cone and normal cone for the circular cone. In this paper, we provide an alternative approach to achieve the aforementioned inequality. Although the proof is a bit longer than the existing one, the new approach offers a way to clarify when the equality holds. Such a clarification is helpful for further study of the relationship between the second-order cone programming problems and the circular cone programming problems.
URI: http://dx.doi.org/10.1186/s13660-016-1243-5
http://rportal.lib.ntnu.edu.tw/handle/77345300/80306
Appears in Collections:BMC Springer Open Data

Files in This Item:
File Description SizeFormat 
13660_2016_Article_1243.pdf1.54 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.