Solution analysis for the pseudomonotone second-order cone linear complementarity problem
Solution analysis for the pseudomonotone second-order cone linear complementarity problem
复制标题
赝单调二阶锥线性互补问题的解分析
DOI：
10.1080/02331934.2016.1172311
复制
发表时间：
2016
期刊：
影响因子：
2.2
通讯作者：
Shen Chungen
中科院分区：
文献类型：
--
作者：
Yang Wei Hong;Zhang Lei-Hong;Shen Chungen
本文研究了伪单调二阶锥线性互补问题（SOCLCP）的解集及其几何性质。基于陶的最近的工作[陶，J. Optim.理论应用，159，41-56（2013）]，我们描述了解的集合，并且还导出了揭示伪单调SOCLCP的潜在几何的内在性质。
In this paper, we are concerned with the set of the solutions and the geometric property of the pseudomonotone second-order cone linear complementarity problems (SOCLCP). Based on Tao’s recent work [Tao,J. Optim. Theory Appl.,159, 41–56 (2013)] on pseudomonotone LCP on Euclidean Jordan algebras, we characterize the set of solutions and also derive intrinsic properties that reveal the underlying geometry of the pseudomonotone SOCLCP.