| 二阶导数条件下带参数的修正型Euler迭代族的局部收敛性 |
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| 引用本文： | 叶新涛.二阶导数条件下带参数的修正型Euler迭代族的局部收敛性[J].南京晓庄学院学报,2010,26(6):8-14. |
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| 作者姓名： | 叶新涛 |
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| 作者单位： | 南京晓庄学院数学与信息技术学院; |
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| 基金项目： | 国家自然基金资助项目，南京晓庄学院培育项目 |
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| 摘 要： | 文章研究了解Banach空间中非线性算子方程的带参数的修正型Euler迭代族的局部收敛性问题.在算子的二阶导数满足Lipschitz条件下建立了修正型Euler迭代族的3阶局部收敛性.
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| 关 键 词： | 非线性算子方程 修正型Euler迭代族 3阶收敛性 |
Convergence of the Family of the Deformed Euler Iterations with Parameters under the Second Derivative Condition |
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| YE Xin-tao.Convergence of the Family of the Deformed Euler Iterations with Parameters under the Second Derivative Condition[J].Journal of Nanjing Xiaozhuang College,2010,26(6):8-14. |
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| Authors: | YE Xin-tao |
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| Institution: | YE Xin-tao(School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171,Jiangsu) |
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| Abstract: | The convergence of the family of the deformed Euler iterations with parameters to solve nonlinear operator equations in Banach spaces is studied.Under the assumption that the derivative of the operator satisfies the Lipschitz condition,and then the local quadratic convergences of the family of the deformed Euler iterations is established. |
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| Keywords: | Nonlinear operator equation the family of the deformed Euler iterations the quadratic convergence |
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