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| 求解LC1约束优化问题的非精确广义牛顿法 | |
| 引用本文： | 王勇,贺国平,谭召学.求解LC1约束优化问题的非精确广义牛顿法[J].江南大学学报(自然科学版),2004,3(5):535-540. |
| 作者姓名： | 王勇 贺国平 谭召学 |
| 作者单位： | 1. 江南大学,理学院,江苏,无锡,214122 2. 山东科技大学,信息科学与工程学院,山东,泰安,271019 3. 苏州大学,数学科学学院,江苏,苏州,215006 |
| 基金项目： | 江南大学"211"工程基金项目(0002678)资助课题. |
| 摘 要： | 通过将非线性LC^1约束优化问题的KKT条件转化成半光滑方程组,提出一个求解LC^1约束优化问题的非精确广义牛顿法,在一定的条件下证明了算法的全局收敛性和超线性收敛性． |
| 关 键 词： | LC^1约束优化问题 半光滑方程 非精确广义牛顿法 全局收敛 超线性收敛 |
| 文章编号： | 1671-7147(2004)05-0535-06 |
An Inexact General Newton's Method for LC1 Constrained Optimization Problems |
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| WANG,Yong.An Inexact General Newton's Method for LC1 Constrained Optimization Problems[J].Journal of Southern Yangtze University:Natural Science Edition,2004,3(5):535-540. | |
| Authors: | WANG Yong |
| Institution: | WANG Yong~ |
| Abstract: | In this paper, we reformulate the problem for finding KKT points of a nonlinear LC~(1 )constrained optimization problem to a system of semismooth equations. The local behavior of inexact generalized Newton's method for solving the semismooth equations is considered. Under some conditions we get global and superlinear convergent. |
| Keywords: | LC~1 constrained optimization problem semismooth equations inexact generalized Newton's method globally convergent superlinear convergent |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |