On the use of simplex methods in constructing quadratic models
文献类型：期刊论文
| 作者 | Zhou, Qing-hua |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2007-07-01 |
| 卷号 | 50期号:7页码:913-924 |
| 关键词 | unconstrained optimization trust region method quadratic model Lagrange function simplex methods direct methods |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-007-0054-z |
| 英文摘要 | In this paper, we investigate the quadratic approximation methods. After studying the basic idea of simplex methods, we construct several new search directions by combining the local information progressively obtained during the iterates of the algorithm to form new subspaces. And the quadratic model is solved in the new subspaces. The motivation is to use the information disclosed by the former steps to construct more promising directions. For most tested problems, the number of function evaluations have been reduced obviously through our algorithms. |
| 语种 | 英语 |
| WOS记录号 | WOS:000248202100001 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4291]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, Qing-hua |
| 作者单位 | 1.Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China 2.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 | Zhou, Qing-hua. On the use of simplex methods in constructing quadratic models[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2007,50(7):913-924. |
| APA | Zhou, Qing-hua.(2007).On the use of simplex methods in constructing quadratic models.SCIENCE IN CHINA SERIES A-MATHEMATICS,50(7),913-924. |
| MLA | Zhou, Qing-hua."On the use of simplex methods in constructing quadratic models".SCIENCE IN CHINA SERIES A-MATHEMATICS 50.7(2007):913-924. |
入库方式： OAI收割
来源：数学与系统科学研究院
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