A three-parameter family of nonlinear conjugate gradient methods
文献类型：期刊论文
| 作者 | Dai, YH ; Yuan, Y
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2001 |
| 卷号 | 70期号:235页码:1155-1167 |
| 关键词 | unconstrained optimization conjugate gradient methods line search global convergence |
| ISSN号 | 0025-5718 |
| 英文摘要 | In this paper, we propose a three-parameter family of conjugate gradient methods for unconstrained optimization. The three-parameter family of methods not only includes the already existing six practical nonlinear conjugate gradient methods, but subsumes some other families of nonlinear conjugate gradient methods as its subfamilies. With Powell's restart criterion, the three-parameter family of methods with the strong Wolfe line search is shown to ensure the descent property of each search direction. Some general convergence results are also established for the three-parameter family of methods. This paper can also be regarded as a brief review on nonlinear conjugate gradient methods. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168520600012 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16123]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dai, YH |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, YH,Yuan, Y. A three-parameter family of nonlinear conjugate gradient methods[J]. MATHEMATICS OF COMPUTATION,2001,70(235):1155-1167. |
| APA | Dai, YH,&Yuan, Y.(2001).A three-parameter family of nonlinear conjugate gradient methods.MATHEMATICS OF COMPUTATION,70(235),1155-1167. |
| MLA | Dai, YH,et al."A three-parameter family of nonlinear conjugate gradient methods".MATHEMATICS OF COMPUTATION 70.235(2001):1155-1167. |
入库方式： OAI收割
来源：数学与系统科学研究院
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