| 广义迭代Tikhonov正则化方法的参数选取 |
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| 引用本文： | 陈宏,侯宗义,武汉大学数学系,复旦大学数学系.广义迭代Tikhonov正则化方法的参数选取[J].陕西师范大学学报,1996(1). |
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| 作者姓名： | 陈宏 侯宗义 武汉大学数学系 复旦大学数学系 |
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| 作者单位： | 1 Department of Mathematics，Wuhan Univ.，430072，Wuhan，PRC; 2 Department of Mathematics，Fudan Univ.，200433，Shanghai，PRC |
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| 基金项目： | 博士后科学基金,国家自然科学基金 |
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| 摘 要： | 在模型具有误差的情况下，讨论了求第一类算子方程解的含闭算子的迭代Ｔｉｋｈｏｎｏｖ正则化方法．运用谱理论建立使正则化逼近解具有最优收敛阶的选取正则参数的方法，得到收敛性及收敛阶估计定理
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| 关 键 词： | 算子方程 迭代Tikhonov正则化 不适定问题 收敛阶估计 |
A parameter choice for generaliged iterated Tikhonov regularigation |
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| Chen Hong ,Hou Zongyi.A parameter choice for generaliged iterated Tikhonov regularigation[J].Journal of Shaanxi Normal University: Nat Sci Ed,1996(1). |
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| Authors: | Chen Hong Hou Zongyi |
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| Institution: | Chen Hong 1,Hou Zongyi 2 |
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| Abstract: | The paper presents an investigation of iterated Tikhonov regularization with closed operators for sloving linear operator equations of the first kind in the presence of modeling and data error. By means of the spectral theory, a parameter selection method that leads to optimal convergence rates is derived. The result of convergence and the rate of convergence toward some least square solution of the equation are given. |
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| Keywords: | operator equations iterated Tikhonov regularization ill posed problems convergence rates |
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