| 统一判据下Chebyshev迭代的收敛性 |
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| 引用本文： | 葛华丰. 统一判据下Chebyshev迭代的收敛性[J]. 台州学院学报, 2006, 28(6): 6-10 |
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| 作者姓名： | 葛华丰 |
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| 作者单位： | 台州学院,数学与信息工程学院,浙江,临海,317000 |
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| 摘 要： | 利用优函数研究了Banach空间中解非线性算子方程的Chebyshev迭代的的收敛性,建立了它的更为阔泛的Newton-Kantorovlch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 Chebyshev迭代 收敛性 |
| 文章编号： | 1672-3708（2006）06-0006-05 |
| 收稿时间： | 2006-09-13 |
| 修稿时间： | 2006-09-13 |
Convergence Theorem for the Chebyshev''''s Iteration in Banach Space |
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| GE Hua-feng. Convergence Theorem for the Chebyshev''''s Iteration in Banach Space[J]. Journal of Taizhou University, 2006, 28(6): 6-10 |
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| Authors: | GE Hua-feng |
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| Abstract: | By using majorizing function, we establish widely Kantorovich - type convergence theorem for the Chebyshevs method in Banach space. The theorem can be 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 the ChebyshevS iteration Convergence |
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