Lifts of Non-Compact Convex Sets and Cone Factorizations

• 作者: WANG Chu ZHI Lihong
• 来源期刊: 系统科学与复杂性学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1632-1655
• 页数: 24页
• 语种: 英文
• DOI: 10.1007/s11424-020-9050-y

摘要

This paper generalizes the factorization theorem of Gouveia,Parrilo and Thomas to a broader class of convex sets.Given a general convex set,the authors define a slack operator associated to the set and its polar according to whether the convex set is full dimensional,whether it is a translated cone and whether it contains lines.The authors strengthen the condition of a cone lift by requiring not only the convex set is the image of an affine slice of a given closed convex cone,but also its recession cone is the image of the linear slice of the closed convex cone.The authors show that the generalized lift of a convex set can also be characterized by the cone factorization of a properly defined slack operator.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	WANG Chu	中国科学院数学与系统科学研究院	1	0	0.0	0.0
2	ZHI Lihong	中国科学院数学与系统科学研究院	1	0	0.0	0.0