| 利用再分配迫近束方法确定非光滑非凸函数的光滑子结构 |
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| 引用本文： | 王炜,武玉鹏,贾宗伟.利用再分配迫近束方法确定非光滑非凸函数的光滑子结构[J].辽宁师范大学学报(自然科学版),2010,33(3). |
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| 作者姓名： | 王炜 武玉鹏 贾宗伟 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁,大连,116029 |
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| 基金项目： | 辽宁省教育厅高等学校科研项目 |
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| 摘 要： | 由有限多个lower-C2函数定义的非光滑函数f,具有与UV空间分解有关的原始对偶梯度结构.这种结构使得f存在光滑区域.在某种假设下,这个光滑区域可由f的迫近点映射确定.主要研究如何利用非凸函数的再分配迫近束方法计算f的迫近点,从而确定非光滑非凸函数f的光滑区域.
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| 关 键 词： | 非光滑优化 (uv)分解 (u)-Lagrange函数 光滑结构 |
Identifying structure of nonsmooth nonconvex functions by redistributed proximal bundle method |
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| WANG Wei,WU Yu-peng,JIA Zhong-wei.Identifying structure of nonsmooth nonconvex functions by redistributed proximal bundle method[J].Journal of Liaoning Normal University(Natural Science Edition),2010,33(3). |
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| Authors: | WANG Wei WU Yu-peng JIA Zhong-wei |
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| Institution: | WANG Wei,WU Yu-peng,JIA Zhong-wei(School of Mathematics,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | The nonsmooth function f,defined by a finite number of lower-C2 functions,has a primal-dual gradient structure which has the connection with the UV-space decomposition.With this structure f has a smooth manifold,which can be identified by proximal points mapping under certain conditions.In this paper,we show how to compute the proximal points of f by redistributing proximal bundle method for nonconvex function,which can identify the smooth manifold of the nonsmooth nonconvex f thereby. |
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| Keywords: | nonsmooth optimzation UV-decomposition UV-Lagrangian smooth structure |
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