首页 | 本学科首页   官方微博 | 高级检索  
     检索      

Convergence of Newton‘’s Method and Uniqueness of the Solution of Equations in Banach SpacesⅡ
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    Banach空间  非线性算子方程  中心Lipschitz条件  L平均
收稿时间:30 May 2000

Convergence of Newton's Method and Uniqueness of the Solution of Equations in Banach Spaces II
XingHuaWANG ChongLI.Convergence of Newton's Method and Uniqueness of the Solution of Equations in Banach Spaces II[J].Acta Mathematica Sinica,2003,19(2):405-412.
Authors:Email author" target="_blank">Xing?Hua?WangEmail author  Chong?Li
Institution:(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
本文献已被 维普 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号