| 关于迭代Tikhonov正则化的最优正则参数选取 |
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| 引用本文： | 金其年,侯宗义.关于迭代Tikhonov正则化的最优正则参数选取[J].高校应用数学学报(A辑),1996(3):321-328. |
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| 作者姓名： | 金其年 侯宗义 |
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| 作者单位： | 复旦大学 |
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| 摘 要： | 本文讨论了算子和右端都近似给定的第一类算子方程的迭代Ｔｉｋｈｏｎｏｖ正则化，给出了不依赖于准确解的任何信息但能得到最优收敛阶的正则参数选取法。
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| 关 键 词： | 算子方程 Tikhonov正则化 正则参数 线性算子 |
OPTIMAL REGULARIZATION PARAMETER CHOICE FOR ITERATED TIKHONOV REGULARIZATION |
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| Jin Qinian,Hou Zongyi.OPTIMAL REGULARIZATION PARAMETER CHOICE FOR ITERATED TIKHONOV REGULARIZATION[J].Applied Mathematics A Journal of Chinese Universities,1996(3):321-328. |
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| Authors: | Jin Qinian Hou Zongyi |
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| Abstract: | In this paper, the iterated Tikhonov regularization for operator equation of the first kind with perturbed operators and noisy data is considered. We present a method for the choice of the regularization parameter that leads to optimal convergence rate, but not using any information about the exact solution. |
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| Keywords: | Operator Equation of the First Kind Iterated Tikhonov Regularization Regularization Parameter |
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