Local and global behavior for algorithms of solving equations
文献类型：期刊论文
| 作者 | Wang, XH; Li, C |
| 刊名 | CHINESE SCIENCE BULLETIN
 |
| 出版日期 | 2001-03-01 |
| 卷号 | 46期号:6页码:441-+ |
| 关键词 | banach space nonlinear operator equation point estimate Sullivan domain nonsmooth optimization |
| ISSN号 | 1001-6538 |
| 英文摘要 | The theory of "point estimate" and the concept of "general convergence", which were put forward by Smale in order to investigate the complexity of algorithms for solving equations, have been producing a deep impact on the research about the local behavior, the semi-local behavior and the global behavior of iteration methods. The criterion of point estimate introduced by him not only provides a tool for quantitative analysis of the local behavior but also motivates the establishing of the unified determination for the semi-local behavior. Studying the global behavior in the view of discrete dynamical system will lead to many profound research subjects and open up a rich and colorful prospect. In this review, we will make a summarization about the research progress and some applications in nonsmooth optimizations. |
| WOS研究方向 | Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168402600001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16442]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, XH |
| 作者单位 | 1.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.SE Univ, Dept Appl Math, Nanjing 210096, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, XH,Li, C. Local and global behavior for algorithms of solving equations[J]. CHINESE SCIENCE BULLETIN,2001,46(6):441-+. |
| APA | Wang, XH,&Li, C.(2001).Local and global behavior for algorithms of solving equations.CHINESE SCIENCE BULLETIN,46(6),441-+. |
| MLA | Wang, XH,et al."Local and global behavior for algorithms of solving equations".CHINESE SCIENCE BULLETIN 46.6(2001):441-+. |
入库方式： OAI收割
来源：数学与系统科学研究院
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