| 一种快速收敛的迭代正则化方法 |
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| 引用本文： | 吕小红,吴传生,周俊.一种快速收敛的迭代正则化方法[J].吉林大学学报(理学版),2009,47(2):269-272. |
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| 作者姓名： | 吕小红 吴传生 周俊 |
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| 作者单位： | 武汉理工大学 理学院, 武汉 430070 |
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| 摘 要： | 对于线性不适定问题, 基于Landweber迭代正则化方法
提出一种快速收敛的迭代正则化方法, 依据Morozov偏差原理, 采用后验选取正则化参数的方法得到了最优渐近收敛阶的正则化解. 数值实验结果表明, 该方法可以加快收敛速度, 降低计算量.
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| 关 键 词： | 不适定问题 迭代正则化 Morozov偏差原理 |
| 收稿时间： | 2008-06-11 |
A Fast Convergent Method of Iterated Regularization |
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| Lu Xiao-hong,WU Chuan-sheng,ZHOU Jun.A Fast Convergent Method of Iterated Regularization[J].Journal of Jilin University: Sci Ed,2009,47(2):269-272. |
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| Authors: | Lu Xiao-hong WU Chuan-sheng ZHOU Jun |
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| Institution: | School of Sciences, Wuhan University of Technology, Wuhan 430070, China |
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| Abstract: | For linear ill-posed problems,the paper presents a fast convergent method of iterated regularization based on the idea of Landweber iterated regularization,and a method of a-posteriori choice by the Morozov discrepancy principle,by which the optimum asymptotic convergence order of the regularized solution is obtained.Numerical test shows that the method of iterated regularization can quicken the convergence speed,reduce the calculation burden efficiently. |
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| Keywords: | ill-posed problems iterated regularization Morozov discrepancy principle |
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