Convergence of iterations of Euler family under weak condition
文献类型：期刊论文
| 作者 | Wang, XH |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 2000-09-01 |
| 卷号 | 43期号:9页码:958-962 |
| 关键词 | Banach space zero of operator iterations of Euler family criterion alpha under weak condition universal constant unified convergence theorem |
| ISSN号 | 1006-9283 |
| 英文摘要 | The iteration maps of Euler family for finding zeros of an operator f in Banach spaces is defined as the partial sum of Taylor expansion of the local inverse f(z)(-1) of f at z. The unified convergence theorem is established for the iterations of Euler family under the assumption that alpha less than or equal to 3 - 2 root 12, while the strong condition that f is analytic in Smale's criterion alpha is replaced by the weak condition that f is of finite order derivative. |
| 语种 | 英语 |
| WOS记录号 | WOS:000165174000006 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15041]  |
| 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.Acad Sinica, Inst Math & Syst Sci, Beijing 100080, Peoples R China 2.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, XH. Convergence of iterations of Euler family under weak condition[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2000,43(9):958-962. |
| APA | Wang, XH.(2000).Convergence of iterations of Euler family under weak condition.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,43(9),958-962. |
| MLA | Wang, XH."Convergence of iterations of Euler family under weak condition".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 43.9(2000):958-962. |
入库方式： OAI收割
来源：数学与系统科学研究院
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