| 对称锥互补问题的一类价值函数及其性质 |
| |
| 引用本文： | 刘丽霞,刘三阳,侯兆阳. 对称锥互补问题的一类价值函数及其性质[J]. 吉林大学学报(理学版), 2009, 47(3): 456-460 |
| |
| 作者姓名： | 刘丽霞 刘三阳 侯兆阳 |
| |
| 作者单位： | 西安电子科技大学,应用数学系,西安,710071;长安大学,理学院,西安,710064 |
| |
| 摘 要： | 利用Euclidean-Jordan代数将非线性互补问题(NCP)的一类价值函数推广到对称锥互补问题(SCCP)上, 并证明了SCCP等价于一个无约束光滑极小化问题, 且给出了此类价值函数的两个例子. 此外, 研究了使得价值函数具有全局误差界的条件, 并给出了使得价值函数水平集有界的一个较弱条件.
|
| 关 键 词： | 互补问题 对称锥 价值函数 Euclidean-Jordan代数 |
| 收稿时间： | 2008-07-04 |
A Class of Merit Function and Its Related Properties for Symmetric Cone Complementarity Problems |
| |
| LIU Li-xia,LIU San-yang,HOU Zhao-yang. A Class of Merit Function and Its Related Properties for Symmetric Cone Complementarity Problems[J]. Journal of Jilin University: Sci Ed, 2009, 47(3): 456-460 |
| |
| Authors: | LIU Li-xia LIU San-yang HOU Zhao-yang |
| |
| Affiliation: | 1. Department of Applied Mathematics, Xidian University, Xi’an 710071, China;2. College of Science, Chang’an University , Xi’an 710064, China |
| |
| Abstract: | A class of merit functions for describing the nonlinear complementarity problems(NCP) was extended to that for describing the symmetric cone complementarity(SCCP) problems by the tool of Euclidean-Jordan algebras.And then it was shown that the SCCP is equivalent to an unconstrained smooth minimization via this new merit function and two examples of the class of merit function are given.Moreover,the conditions under which the new merit function provides a global error bound were studied with a weak condition... |
| |
| Keywords: | complementarity problems symmetric cone merit function Euclidean-Jordan algebra |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
