The GUS-property of second-order cone linear complementarity problems

• 成果类型: Article
• 署名作者: Yang, Wei Hong; Yuan, Xiaoming
• 署名单位: Fudan University; Hong Kong Baptist University
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-012-0523-1
• 发表日期: 2013
• 页码: 295-317
• 关键词: p-properties; transformations

摘要

The globally uniquely solvable (GUS) property of the linear transformation of the linear complementarity problems over symmetric cones has been studied recently by Gowda et al. via the approach of Euclidean Jordan algebra. In this paper, we contribute a new approach to characterizing the GUS property of the linear transformation of the second-order cone linear complementarity problems (SOCLCP) via some basic linear algebra properties of the involved matrix of SOCLCP. Some more concrete and checkable sufficient and necessary conditions for the GUS property are thus derived.