| 基于动力系统求解线性不适定问题的一种迭代方法 |
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| 引用本文： | 孙晶,贺国强. 基于动力系统求解线性不适定问题的一种迭代方法[J]. 上海大学学报(自然科学版), 2008, 14(2): 156-160 |
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| 作者姓名： | 孙晶 贺国强 |
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| 作者单位： | 上海大学,理学院,上海,200444;上海大学,理学院,上海,200444 |
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| 摘 要： | 该文基于一个抽象微分方程的二阶Runge Kutta方法，构造一种求解线性不适定算子方程的迭代方法——中点法，并讨论此方法的收敛性及收敛速率，数值试验的结果也与该理论相符.
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| 关 键 词： | 抽象微分方程 二阶Runge-Kutta方法 残差准则 收敛速率 |
| 文章编号： | 1007-2861(2008)02-0156-05 |
| 收稿时间： | 2007-01-17 |
| 修稿时间： | 2007-01-17 |
An Iterative Method for Solving Linear Ill-Posed Problems Based on Dynamical Systems |
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| SUN Jing,HE Guo-qiang. An Iterative Method for Solving Linear Ill-Posed Problems Based on Dynamical Systems[J]. Journal of Shanghai University(Natural Science), 2008, 14(2): 156-160 |
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| Authors: | SUN Jing HE Guo-qiang |
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| Affiliation: | College of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | This paper proposes an iterative method for solving ill posed operator equations based on dynamical systems and discuss the convergence properties and convergence rates of the method. Numerical examples are given, which is in agreement with the theoretical results. |
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| Keywords: | convergence rates discrepancy principle Runge-Kutta two-order method abstract differential equation |
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