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On the United Theory of the Family of Euler—Haller Type Methods with Cubical Convergence in Banach Spaces
作者姓名:XinghuaWang  ChongLi
作者单位:[1]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310028,China [2]DepartmentofMathematics,ZhejiangUniversityHuangzhou310027,China
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.

关 键 词:Euler-Halley方法族  立方收敛  Banach空间  算子方程  迭代  微分算子  联合收敛定理  Lipschitz条件

On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces
XinghuaWang ChongLi.On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces[J].Journal of Computational Mathematics,2003,21(2):195-200.
Authors:Xinghua Wang & Chong Li
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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