| 一类非单调对称锥线性互补问题解集的性质 |
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| 引用本文： | 荣幸,朱华. 一类非单调对称锥线性互补问题解集的性质[J]. 天津理工大学学报, 2012, 28(2): 73-77 |
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| 作者姓名： | 荣幸 朱华 |
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| 作者单位： | 天津大学理学院,天津,300072 |
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| 摘 要： | 本文考虑具有笛卡尔P*(κ)线性映射的对称锥线性互补问题.在一定的条件下,讨论这类问题解集的非空性、紧性、以及凸性.所得结论为设计求解这类问题的算法提供了重要的理论基础.欧几里德若当代数理论是该文分析的主要工具.
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| 关 键 词： | 对称锥互补问题 笛卡尔P*(κ)映射 解的存在性 解集的紧性 解集的凸性 |
Properties of the solution set of a class non-monotone symmetric Cone linear complementarity problems |
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| RONG Xing , ZHU Hua. Properties of the solution set of a class non-monotone symmetric Cone linear complementarity problems[J]. Journal of Tianjin University of Technology, 2012, 28(2): 73-77 |
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| Authors: | RONG Xing ZHU Hua |
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| Affiliation: | (School of Science,Tianjin University,Tianjin 300072,China) |
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| Abstract: | In this paper,we consider the symmetric cone linear complementarity problem with a Cartesian P*(κ) mapping.Under some conditions,we investigate the nonemptyness,the compactness,and the convexity of the solution set of the problem concerned.The results obtained in this paper provide an important theretical basis for designing numerical methods to solve this class of problems.The theory of Euclidean Jordan algebras is a main tool in our analysis. |
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| Keywords: | symmetric conic complementarity problem the Cartesian P*(κ) mapping existence of the solution compactness of the solution set convexity of the solution set |
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