| Frozen Landweber Iteration for Nonlinear Ill-Posed Problems |
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| 引用本文： | J. Xu B. Han L. Li. Frozen Landweber Iteration for Nonlinear Ill-Posed Problems[J]. 应用数学学报(英文版), 2007, 23(2): 329-336. DOI: 10.1007/s10255-007-0375-2 |
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| 作者姓名： | J. Xu B. Han L. Li |
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| 作者单位： | Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China，Department of Mathematics，Harbin Institute of Technology，Harbin 150001，China |
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| 摘 要： | In this paper we propose a modification of the Landweber iteration termed frozen Landweberiteration for nonlinear ill-posed problems.A convergence analysis for this iteration is presented.The numericalperformance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared withthat of the Landweber iteration.We obtain a shorter running time of the frozen Landweber iteration based onthe same convergence accuracy.
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| 关 键 词： | 非线性不适定问题 冻结Landweber叠代 改良 收敛分析 |
| 收稿时间： | 2005-12-30 |
| 修稿时间： | 2005-12-30 |
Frozen Landweber Iteration for Nonlinear Ill-Posed Problems |
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| J. Xu,B. Han,L. Li. Frozen Landweber Iteration for Nonlinear Ill-Posed Problems[J]. Acta Mathematicae Applicatae Sinica, 2007, 23(2): 329-336. DOI: 10.1007/s10255-007-0375-2 |
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| Authors: | J. Xu B. Han L. Li |
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| Affiliation: | (1) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China;(2) Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China |
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| Abstract: | In this paper we propose a modification of the Landweber iteration termed frozen Landweber iteration for nonlinear ill-posed problems.A convergence analysis for this iteration is presented.The numerical performance of this frozen Landweber iteration for a nonlinear Hammerstein integral equation is compared with that of the Landweber iteration.We obtain a shorter running time of the frozen Landweber iteration based on the same convergence accuracy. |
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| Keywords: | Ill-posed problem regularization Landweber iteration |
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