| Banach空间中Jarratt迭代收敛性的注 |
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| 引用本文： | 林荣斐,赵岳清.Banach空间中Jarratt迭代收敛性的注[J].内蒙古师范大学学报(自然科学版),2006,35(4):413-418. |
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| 作者姓名： | 林荣斐 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： | 研究Banach空间中解非线性算子方程避免求逆的Jarratt迭代Ncwton-Kantorovich型收敛性，给出迭代收敛的误差估计，并用数值例子说明其应用．所得结果是对已有结果的改进和推广．
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| 关 键 词： | Banach空间 非线性算子方程 Jarratt迭代 收敛性 |
| 文章编号： | 1001-8735（2006）04-0413-06 |
| 收稿时间： | 2006-04-15 |
| 修稿时间： | 2006-04-15 |
A Note on Convergence Theorem for the Jarratt Iteration in Banach Space |
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| LIN Rong-fei,ZHAO Yue-qing.A Note on Convergence Theorem for the Jarratt Iteration in Banach Space[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2006,35(4):413-418. |
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| Authors: | LIN Rong-fei ZHAO Yue-qing |
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| Institution: | Department of Mathematics, Taizhou University , Linhai ,Zhejiang 317000,China |
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| Abstract: | The Newton-Kantorovich convergence theorem of inverse-free Jarratt method in Banach space,which is used to solve the nonlinear operator equation, were investigated, The error estimate was given out, and some examples was provided to show the application of the theorem. The results presented in this paper extended and improved the known results in the literature. |
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| Keywords: | Banach space nonlinear operator equation Jarratt iteration convergence |
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