中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
PROPERTIES OF A CLASS OF NONLINEAR TRANSFORMATIONS OVER EUCLIDEAN JORDAN ALGEBRAS WITH APPLICATIONS TO COMPLEMENTARITY PROBLEMS

文献类型:期刊论文

作者Lu, Nan1; Huang, Zheng-Hai1; Han, Jiye2
刊名NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
出版日期2009
卷号30期号:7-8页码:799-821
关键词Euclidean Jordan algebra Relaxation transformation Smoothing algorithm Symmetric cone complementarity problem
ISSN号0163-0563
DOI10.1080/01630560903123304
英文摘要For any function phi from R(r) to R(r), Tao and Gowda [Math. Oper. Res., 30 (2005), pp. 985-1004] introduced a corresponding nonlinear transformation R(phi) over a Euclidean Jordan algebra (which is called a relaxation transformation) and established some useful relations between phi and R(phi). In this paper, we further investigate some interconnections between properties of phi and properties of R(phi), including the properties of continuity, (local) Lipschitz continuity, directional differentiability, (continuous) differentiability, semismoothness, monotonicity, the P(0)-property, and the uniform P-property. As an application, we investigate the symmetric cone complementarity problem with a relaxation transformation. A property of the solution set of this class of problems is given. We also investigate a smoothing algorithm for solving this class of problems and show that the algorithm is globally convergent under an assumption that the solution set of the problem concerned is nonempty.
资助项目National Natural Science Foundation of China[10871144] ; National Natural Science Foundation of China[10671010] ; Natural Science Foundation of Tianjin[07JCYBJC05200]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000270333000008
出版者TAYLOR & FRANCIS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8622]  
专题中国科学院数学与系统科学研究院
通讯作者Huang, Zheng-Hai
作者单位1.Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China
2.Chinese Acad Sci, Inst Appl Math Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714
Lu, Nan,Huang, Zheng-Hai,Han, Jiye. PROPERTIES OF A CLASS OF NONLINEAR TRANSFORMATIONS OVER EUCLIDEAN JORDAN ALGEBRAS WITH APPLICATIONS TO COMPLEMENTARITY PROBLEMS[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,2009,30(7-8):799-821.
APA Lu, Nan,Huang, Zheng-Hai,&Han, Jiye.(2009).PROPERTIES OF A CLASS OF NONLINEAR TRANSFORMATIONS OVER EUCLIDEAN JORDAN ALGEBRAS WITH APPLICATIONS TO COMPLEMENTARITY PROBLEMS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,30(7-8),799-821.
MLA Lu, Nan,et al."PROPERTIES OF A CLASS OF NONLINEAR TRANSFORMATIONS OVER EUCLIDEAN JORDAN ALGEBRAS WITH APPLICATIONS TO COMPLEMENTARITY PROBLEMS".NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 30.7-8(2009):799-821.

入库方式: OAI收割

来源:数学与系统科学研究院

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