| 解第一类线性算子方程的多层次迭代法(英文) |
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| 引用本文： | 罗兴钧.解第一类线性算子方程的多层次迭代法(英文)[J].东北数学,2008,24(1):1-9. |
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| 作者姓名： | 罗兴钧 |
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| 作者单位： | School of Mathematics and Computer;Gannan Normal University; |
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| 基金项目： | 江西省自然科学基金
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江西省教育厅自然科学基金 |
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| 摘 要： | In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergence analyses are presented in an abstract framework.
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| 关 键 词： | 解法 第一类线性算子方程 多层次迭代法 Tikhonov调整 |
Multilevel Iteration Methods for Solving Linear Operator Equations of the First Kind |
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| LUO Xing-jun.Multilevel Iteration Methods for Solving Linear Operator Equations of the First Kind[J].Northeastern Mathematical Journal,2008,24(1):1-9. |
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| Authors: | LUO Xing-jun |
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| Institution: | School of Mathematics and Computer, Gannan Normal University, Ganzhou, 341000 |
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| Abstract: | In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems.The two algorithms and their convergence analyses are presented in an abstract framework. |
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| Keywords: | operator equations of the first kind ill-posed problem multilevel iteration method Tikhonov regularization |
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