| Banach空间中的正则Landweber迭代法 |
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| 引用本文： | 李景,刘振海. Banach空间中的正则Landweber迭代法[J]. 湖南大学学报(自然科学版), 2009, 36(7) |
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| 作者姓名： | 李景 刘振海 |
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| 作者单位： | 中南大学,数学科学与计算数学学院,湖南,长沙,410075;长沙理工大学,数学与计算科学学院,湖南,长沙,410076;中南大学,数学科学与计算数学学院,湖南,长沙,410075 |
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| 摘 要： | 利用一致凸一致光滑的Banach空间的几何性质, 研究了Banach空间中线性和非线性算子的正则Landweber迭代法. 假定所测的右端数据具有扰动的情况下, 得出了此正则Landweber迭代法的收敛性.
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| 关 键 词： | 正则化 不适定 迭代法 收敛性 |
On the Regular Landweber Iteration for Nonlinear Ill-posed Problems in Banach Spaces |
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| LI Jing,LIU Zhen-hai. On the Regular Landweber Iteration for Nonlinear Ill-posed Problems in Banach Spaces[J]. Journal of Hunan University(Naturnal Science), 2009, 36(7) |
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| Authors: | LI Jing LIU Zhen-hai |
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| Abstract: | Using the geometrical properties of uniformly convex and uniformly smooth Banach spaces, we have discussed the regularized Landweber iteration for linear and nonlinear ill-posed problems in Banach spaces. The data involved are assumed to be known approximately, and we have obtained the convergence of regular solutions. |
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| Keywords: | regularization ill-posed problems iterative methods convergence |
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