Sufficiency of linear transformations on Euclidean Jordan algebras

doi:10.1007/s11590-008-0106-5

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	Sufficiency of linear transformations on Euclidean Jordan algebras
	Qin, Linxia 1; Kong, Lingchen 1,2; Han, Jiye 3
	2009-03-01
发表期刊	OPTIMIZATION LETTERS
ISSN	1862-4472
卷号	3 期号:2 页码:265-276
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.
关键词	Linear transformation Euclidean Jordan algebra Column-sufficiency Row-sufficiency
DOI	10.1007/s11590-008-0106-5
语种	英语
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
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000262814900008
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7525
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.