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
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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 |
DOI | 10.1080/01630560903123304 |
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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