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Feasibility and Structural Feature on Monotone Second-Order Cone Linear Complementarity Problems in Hilbert Space

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【Author】 Miao Xinhe;Guo Shengjuan;School of Sciences, Tianjin University;

【机构】 School of Sciences, Tianjin University；

【摘要】 Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem(SOCLCP)is considered. Some conditions are investigated, for which the SOCLCP is feasible and solvable for any element q?H. The solution set of a monotone SOCLCP is also characterized. It is shown that the second-order cone and Jordan product are interconnected.更多还原

【Abstract】 Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem(SOCLCP)is considered. Some conditions are investigated, for which the SOCLCP is feasible and solvable for any element q?H. The solution set of a monotone SOCLCP is also characterized. It is shown that the second-order cone and Jordan product are interconnected.更多还原

【关键词】 second-order cone linear complementarity； Jordan frame； Jordan product； Lorentz cone； adjoint operator；
【Key words】 second-order cone linear complementarity； Jordan frame； Jordan product； Lorentz cone； adjoint operator；

【基金】 Supported by the National Natural Science Foundation of China(No.11101302 and No.11471241)

【文献出处】 Transactions of Tianjin University ,天津大学学报(英文版) , 编辑部邮箱 ,2015年04期

【分类号】O221
【下载频次】17

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