| LC1无约束优化问题的非单调线搜索算法 |
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| 引用本文： | 席敏,蔡邢菊.LC1无约束优化问题的非单调线搜索算法[J].临沂师范学院学报,2006,28(6):14-16. |
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| 作者姓名： | 席敏 蔡邢菊 |
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| 作者单位： | 1. 广东外语外贸大学,信息科学技术学院,广东,广州,510006;南京师范大学,数学与计算机科学学院,江苏,南京,210097
2. 南京师范大学,数学与计算机科学学院,江苏,南京,210097 |
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| 基金项目： | 国家自然科学基金项目资助(10231060)，江苏省高等学校研究生创新计划项目资助 |
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| 摘 要： | 考虑LC1无约束优化问题,用二阶上Dini方向导数代替二阶的方向导数,从而给出该问题的一个非单调线搜索算法,并证明了所给算法的全局收敛性．
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| 关 键 词： | LC1无约束问题 稳定点 非单调 |
| 文章编号： | 1009-6051（2006）06-0014-03 |
| 收稿时间： | 2006-07-01 |
| 修稿时间： | 2006-07-01 |
A Nonmonotone Line Search Algorithm for LC1 Unconstrained Optimization |
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| Xi Min,CAI Xing-ju.A Nonmonotone Line Search Algorithm for LC1 Unconstrained Optimization[J].Journal of Linyi Teachers' College,2006,28(6):14-16. |
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| Authors: | Xi Min CAI Xing-ju |
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| Institution: | 1. School of Informatics, University of Foreign Studies, Guangzhou Guangdong 510006, China; 2. School of Mathematics and Computer Science, Nanjing Normal University, Nanjing Jiangsu, 210097, China |
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| Abstract: | In this paper, we consider the LC1 unconstrained problems, which is continuously differentiable and its derivative is only locally Lipschitzian but not necessary F-differentiable. Here we consider using the second order Dini upper directional derivative to replace the second order directional derivative. We present a nonmonotone line search algorithm, and establish the global convergence. |
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| Keywords: | LC1 unconstrained problem stationary point nonmonotone |
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