Sufficiency of linear transformations on Euclidean Jordan algebras
文献类型：期刊论文
| 作者 | Qin, Linxia1; Kong, Lingchen1,2; Han, Jiye3 |
| 刊名 | OPTIMIZATION LETTERS
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 3期号:2页码:265-276 |
| 关键词 | Linear transformation Euclidean Jordan algebra Column-sufficiency Row-sufficiency |
| ISSN号 | 1862-4472 |
| DOI | 10.1007/s11590-008-0106-5 |
| 英文摘要 | We extend the row-sufficiency and column-sufficiency of a linear transformation from R(n) to the setting of Euclidean Jordan algebras. For linear complementarity problems over symmetric cones, we show that the column-sufficiency along with Cross Commutative property is equivalent to the convexity of the solution set, while the row-sufficiency is necessary for the existence of solutions under some conditions. |
| 资助项目 | National Natural Science Foundation of China[10671010] ; National Natural Science Foundation of China[70640420143] |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000262814900008 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7524]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Qin, Linxia |
| 作者单位 | 1.Beijing Jiaotong Univ, Dept Appl Math, Beijing 100044, Peoples R China 2.Univ Waterloo, Dept Combinator & Optimizat, Fac Math, Waterloo, ON N2L 3G1, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qin, Linxia,Kong, Lingchen,Han, Jiye. Sufficiency of linear transformations on Euclidean Jordan algebras[J]. OPTIMIZATION LETTERS,2009,3(2):265-276. |
| APA | Qin, Linxia,Kong, Lingchen,&Han, Jiye.(2009).Sufficiency of linear transformations on Euclidean Jordan algebras.OPTIMIZATION LETTERS,3(2),265-276. |
| MLA | Qin, Linxia,et al."Sufficiency of linear transformations on Euclidean Jordan algebras".OPTIMIZATION LETTERS 3.2(2009):265-276. |
入库方式： OAI收割
来源：数学与系统科学研究院
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