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New conjugacy conditions and related nonlinear conjugate gradient methods
文献类型：期刊论文
| 作者 | Dai, YH; Liao, LZ |
| 刊名 | APPLIED MATHEMATICS AND OPTIMIZATION
 |
| 出版日期 | 2001 |
| 卷号 | 43期号:1页码:87-101 |
| 关键词 | unconstrained optimization conjugate gradient line search global convergence |
| ISSN号 | 0095-4616 |
| 英文摘要 | Conjugate gradient methods are a class of important methods for unconstrained optimization, especially when the dimension is large. This paper proposes a new conjugacy condition, which considers an inexact line search scheme but reduces to the old one if the line search is exact. Based on the new conjugacy condition, two nonlinear conjugate gradient methods are constructed. Convergence analysis for the two methods is provided. Our numerical results show that one of the methods is very efficient for the given test problems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000166125000005 |
| 出版者 | SPRINGER-VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16836]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dai, YH |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, YH,Liao, LZ. New conjugacy conditions and related nonlinear conjugate gradient methods[J]. APPLIED MATHEMATICS AND OPTIMIZATION,2001,43(1):87-101. |
| APA | Dai, YH,&Liao, LZ.(2001).New conjugacy conditions and related nonlinear conjugate gradient methods.APPLIED MATHEMATICS AND OPTIMIZATION,43(1),87-101. |
| MLA | Dai, YH,et al."New conjugacy conditions and related nonlinear conjugate gradient methods".APPLIED MATHEMATICS AND OPTIMIZATION 43.1(2001):87-101. |
入库方式： OAI收割
来源：数学与系统科学研究院
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