| Bnach空间中修正牛顿法 |
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| 引用本文： | 赵岳清.Bnach空间中修正牛顿法[J].台州学院学报,2006,28(3):4-7,10. |
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| 作者姓名： | 赵岳清 |
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| 作者单位： | 台州学院,数学系,浙江,临海,317000 |
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| 摘 要： | 利用优函数研究了Banach空间中求解非线性算子方程的一个修正牛顿法的收敛性,并建立了它的Newton-Kantorovich型收敛性定理,最后用例子说明了定理的应用。
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| 关 键 词： | Banach空间 非线性算子方程 修正牛顿法 收敛性 |
| 文章编号： | 1672-3708（2006）03-0004-04 |
| 收稿时间： | 2005-09-16 |
| 修稿时间： | 2005-09-16 |
The Modified Newton method in Banach Space |
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| ZHAO Yue-qing.The Modified Newton method in Banach Space[J].Journal of Taizhou University,2006,28(3):4-7,10. |
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| Authors: | ZHAO Yue-qing |
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| Institution: | Department of mathematics, Taizhou university, Linhai 317000, China |
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| Abstract: | By using majorizing function, we establish Kantorovich - type convergence theorem for the modified Newton method in Banach space which is used to solve the nonlinear operator equation. Finally, two examples are provided to show the application of our theorem. |
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| Keywords: | Banach space nonlinear operator equation modified Newton method convergence |
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