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| Convergence of Newton‘’s Method and Uniqueness of the Solution of Equations in Banach SpacesⅡ | |
| 引用本文： | XingHuaWANG ChongLI. Convergence of Newton‘’s Method and Uniqueness of the Solution of Equations in Banach SpacesⅡ[J]. 数学学报(英文版), 2003, 19(2): 405-412. DOI: 10.1007/s10114-002-0238-y |
| 作者姓名： | XingHuaWANG ChongLI |
| 作者单位： | [1]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310028,P.R.ChinaandDepartmentofMathematics,WenzhouUniversity,Whenzhou325027,P.R.China [2]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027,P.R.ChinaandAcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,P.R.China |
| 摘 要： | Some results on convergence of Newton‘s method in Banach spaces are established under the assumption that the derivative of the opderators satisfies the radius or center Lipschitz condition with a weak L average. |
| 关 键 词： | 收敛性 牛顿法 唯一性 解 Banach空间 非线性算子方程 中心Lipschitz条件 L平均 |
| 收稿时间： | 2000-05-30 |
Convergence of Newton's Method and Uniqueness of the Solution of Equations in Banach Spaces II |
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| Xing?Hua?WangEmail author,Chong?Li. Convergence of Newton's Method and Uniqueness of the Solution of Equations in Banach Spaces II[J]. Acta Mathematica Sinica(English Series), 2003, 19(2): 405-412. DOI: 10.1007/s10114-002-0238-y | |
| Authors: | Xing?Hua?Wang mailto:wangxh@mail.hz.zj.cn" title=" wangxh@mail.hz.zj.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Chong?Li |
| Affiliation: | (1) Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China;(2) Department of Mathematics, Wenzhou University, Whenzhou 325027, P. R. China;(3) Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China;(4) Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China |
| Abstract: | Some results on convergence of Newton's method in Banach spaces are established under the assumption that the derivative of the operators satisfies the radius or center Lipschitz condition with a weak L average. This project is supported by the Special Funds for Major State Basic Research Projects (Grant No. G19990328) and the National Natural Science Foundation of China (Grant No. 19971013, 10271025), also supported partly by Zhejiang Provincial (Grant No. 100002, 101027) Natural Science Foundation of China |
| Keywords: | Nonlinear operator equation Newton's method Lipschitz condition with L average Convergence ball |
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