| On the United Theory of the Family of Euler—Haller Type Methods with Cubical Convergence in Banach Spaces |
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| 引用本文： | XinghuaWang ChongLi. On the United Theory of the Family of Euler—Haller Type Methods with Cubical Convergence in Banach Spaces[J]. 计算数学(英文版), 2003, 21(2): 195-200 |
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| 作者姓名： | XinghuaWang ChongLi |
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| 作者单位： | [1]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310028,China [2]DepartmentofMathematics,ZhejiangUniversityHuangzhou310027,China |
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| 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.
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| 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 |
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| Xinghua Wang , Chong Li. 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 |
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| Authors: | Xinghua Wang & Chong Li |
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| 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. |
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| Keywords: | Operator equation The family of Enler-Halley Iterations Cubical convergence. |
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