| 正常凸函数的U-Lagrange函数 |
| |
| 引用本文： | 王炜,陆媛.正常凸函数的U-Lagrange函数[J].辽宁师范大学学报(自然科学版),2006,29(4):385-387. |
| |
| 作者姓名： | 王炜 陆媛 |
| |
| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029 |
| |
| 摘 要： | 将凸函数的uv-分解理论推广到正常凸函数，借助于凸分析中的凸集、凸锥以及回收锥的相关性质，得到对应于正常凸函数的空伺分解和u-Lagrsnge函数及其性质。井将其应用于一般凸规划问题．
|
| 关 键 词： | 非光滑优化 uv-分解 u-Lagrange函数 回收锥 |
| 收稿时间： | 06 10 2006 12:00AM |
The U-Lagrangian of a Proper Convex Function |
| |
| WANG Wei,LU Yuan.The U-Lagrangian of a Proper Convex Function[J].Journal of Liaoning Normal University(Natural Science Edition),2006,29(4):385-387. |
| |
| Authors: | WANG Wei LU Yuan |
| |
| Institution: | School of Mathematics, Liaoning Normal University, Dalian 116029,China |
| |
| Abstract: | For minimizing a proper convex function, this paper compares the difference of subdifferential of function f,when the initial point was taken in the relative borders and the relative interior of the effective domain. Furthermore,the uv-decomposition theory about proper convex function is studied in this paper and the sufficient condition is given,which guarantees the existence of the u-Lagrangian defined in the effective domain of the proper convex function f. |
| |
| Keywords: | nonsmooth optimization uv-decomposition u-Lagrangian recession cone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
