Convergence of conjugate gradient methods with constant stepsizes
文献类型：期刊论文
| 作者 | Dai, Yu-Hong
|
| 刊名 | OPTIMIZATION METHODS & SOFTWARE
 |
| 出版日期 | 2011 |
| 卷号 | 26期号:6页码:895-909 |
| 关键词 | unconstrained optimization nonconvex conjugate gradient method method of shortest residuals descent property global convergence |
| ISSN号 | 1055-6788 |
| DOI | 10.1080/10556781003721042 |
| 英文摘要 | We study the convergence properties of several conjugate gradient methods for nonlinear optimization under the assumptions that the objective function is bounded below and its gradient is Lipschitz continuous. Specifically, we strengthen the existing convergence result of the Polak-Ribiere-Polyak method with constant stepsizes. For the method of shortest residuals, we establish global convergence of both the Fletcher-Reeves version and the Polak-Ribiere-Polyak version using constant stepsizes. A numerical example is also presented. |
| 语种 | 英语 |
| WOS记录号 | WOS:000299552900001 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13131]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dai, Yu-Hong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Yu-Hong. Convergence of conjugate gradient methods with constant stepsizes[J]. OPTIMIZATION METHODS & SOFTWARE,2011,26(6):895-909. |
| APA | Dai, Yu-Hong.(2011).Convergence of conjugate gradient methods with constant stepsizes.OPTIMIZATION METHODS & SOFTWARE,26(6),895-909. |
| MLA | Dai, Yu-Hong."Convergence of conjugate gradient methods with constant stepsizes".OPTIMIZATION METHODS & SOFTWARE 26.6(2011):895-909. |
入库方式： OAI收割
来源：数学与系统科学研究院
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