Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition
文献类型：期刊论文
| 作者 | Liu, GH; Han, JY; Qi, HD; Xu, HL |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 1998 |
| 卷号 | 18期号:1页码:11-16 |
| 关键词 | Polak-Ribiere conjugate gradient method strong Wolfe line search global convergence |
| ISSN号 | 0252-9602 |
| 英文摘要 | Recently, Gilbert and Nocedal([3]) investigated global convergence of conjugate gradient methods related to Polak-Ribiere formular, they restricted beta(k) to non-negative value. [5] discussed the same problem as that in [3] and relaxed beta(k) to be negative with the objective function being convex. This paper allows beta(k) to be selected in a wider range than [5]. Especially, the global convergence of the corresponding algorithm without sufficient decrease condition is proved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000080165100002 |
| 出版者 | BALTZER SCI PUBL BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13700]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Comm Natl Nat Sci Fdn China, Beijing 100045, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, GH,Han, JY,Qi, HD,et al. Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition[J]. ACTA MATHEMATICA SCIENTIA,1998,18(1):11-16. |
| APA | Liu, GH,Han, JY,Qi, HD,&Xu, HL.(1998).Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition.ACTA MATHEMATICA SCIENTIA,18(1),11-16. |
| MLA | Liu, GH,et al."Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition".ACTA MATHEMATICA SCIENTIA 18.1(1998):11-16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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