The GUS-property of second-order cone linear complementarity problems
The GUS-property of second-order cone linear complementarity problems
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DOI：
10.1007/s10107-012-0523-1
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发表时间：
2013-10
影响因子：
2.7
通讯作者：
W. Yang;Xiaoming Yuan
中科院分区：
文献类型：
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作者：
W. Yang;Xiaoming Yuan
最近，Gowda等人利用欧几里德约当代数的方法研究了对称锥上线性互补问题的线性变换的全局唯一可解性。本文利用二阶锥线性互补问题（SOCLCP）的相关矩阵的一些基本线性代数性质，给出了表征SOCLCP线性变换的GUS性质的新方法。由此导出了一些更为具体的、可检验的GUS性质的充要条件。
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.