| 对称锥互补问题 |
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| 引用本文： | 修乃华,韩继业. 对称锥互补问题[J]. 数学进展, 2007, 36(1): 1-12 |
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| 作者姓名： | 修乃华 韩继业 |
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| 作者单位： | 1. 北京交通大学应用数学系,北京,100044
2. 中国科学院数学与系统科学研究院应用数学所,北京,100080 |
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| 摘 要： | 对称锥互补问题是一类均衡优化,包括标准互补问题、二阶锥互补问题和半定互补问题等,近几年,人们借助欧几里德若当代数技术,在对称锥互补问题的研究方面获得了突破性进展并使之逐渐受到重视,本文主要从理论和算法两方面总结和评述这些新成果,同时,列出了相应的重要文献。
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| 关 键 词： | 对称锥 互补问题 欧几里德若当代数 理论 算法 |
| 文章编号： | 1000-0917（2007）01-0001-12 |
| 收稿时间： | 2006-05-23 |
| 修稿时间： | 2006-05-23 |
Symmetric Cone Complementarity Problems |
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| XIU Naihua,HAN Jiye. Symmetric Cone Complementarity Problems[J]. Advances in Mathematics(China), 2007, 36(1): 1-12 |
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| Authors: | XIU Naihua HAN Jiye |
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| Affiliation: | 1. Department of Applied Mathematics, Beijing Jiaotong University, Beijing, 100044, P. R. China; 2. Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100080, P. R. China |
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| Abstract: | The symmetric cone complementarity problem(SCCP)is a class of equili brium optimization problems,and it contains as special cases the standard complementarity problem(CP),the second-order cone complementarity problem(SOCCP)and the semidefinite complementarity problem(SDCP).More recently,with the help of Euclidean Jordan algebraic technique,one has obtained a lots of interesting results in the field of SCCP.This paper is a survey of theory and algorithms for SCCP,including SOCCP and SDCP. |
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| Keywords: | symmetric cone complementarity problem Euclidean Jordan algebra theory algorithm |
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