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On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces
引用本文:Xinghua Wang(Department of Mathematics,Zhejiang University,Hangzhou 310028,China) (Wenzhou University,Wenzhou 325027,P. R. China)Chong Li(Department of Mathematics,Zhejiang University Huangzhou 310027,China) (Academy of Mathematics and System Sciences,CAS). On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces[J]. 计算数学(英文版), 2003, 0(2)
作者姓名:Xinghua Wang(Department of Mathematics  Zhejiang University  Hangzhou 310028  China) (Wenzhou University  Wenzhou 325027  P. R. China)Chong Li(Department of Mathematics  Zhejiang University Huangzhou 310027  China) (Academy of Mathematics and System Sciences  CAS)
作者单位:Xinghua Wang(Department of Mathematics,Zhejiang University,Hangzhou 310028,China) (Wenzhou University,Wenzhou 325027,P. R. China)Chong Li(Department of Mathematics,Zhejiang University Huangzhou 310027,China) (Academy of Mathematics and System Sciences,CAS)
基金项目:This project is supported by the Special Funds for Major State Basic Research Projects(Grant No. G19990328),the National Natural Science Foundation of China(Grant No. 10271025),also supported partly by Zhejiang Provincial Natural Science Foundation o
摘    要:The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the L-average, and a united convergence theory with its applications is presented.


On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces
Xinghua Wang. On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces[J]. Journal of Computational Mathematics, 2003, 0(2)
Authors:Xinghua Wang
Abstract:The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the L-average, and a united convergence theory with its applications is presented.
Keywords:Operator equation   The family of Enler-Halley   Iterations   Cubical convergence
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