| 求线性不适定方程L-广义解的隐式迭代法 |
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| 引用本文： | 贺国强,王新革.求线性不适定方程L-广义解的隐式迭代法[J].上海大学学报(自然科学版),1999,5(3):189-193. |
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| 作者姓名： | 贺国强 王新革 |
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| 作者单位： | 上海大学理学院 |
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| 基金项目： | 国家自然科学基金!资助项目 ( 196710 5 0) |
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| 摘 要： | 本文首先指出可以把求不适定算子方程的 L-广义解归结为求另一个方程的 Moore-Penrose广义解 ,然后把隐式迭代法推广应用于求 L -广义解 .文中还考虑了离散方法 ,给出了数值例子 ,最后用例子说明了确定 L -广义解光滑程度的方法
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| 关 键 词： | 不适定算子方程 L-广义解 隐式迭代法 离散方法 L-广义解光滑程度 |
An Implicit Iterative Method for L-Generalized Solution of Linear Ill-Posed Equations |
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| He Guoqiang,Wang Xinge.An Implicit Iterative Method for L-Generalized Solution of Linear Ill-Posed Equations[J].Journal of Shanghai University(Natural Science),1999,5(3):189-193. |
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| Authors: | He Guoqiang Wang Xinge |
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| Abstract: | We first point out that the L generalized solution of a linear ill posed equation can be reduced to the Moore Penrose generalized solution of another ill posed equation, and thus may apply the implicit iterative method to finding L generalized solution. A discretization method is discussed in the paper and numerical examples are also given. Finally, the authors indicate by an example how to determine the smoothness level of a L generalized solution. |
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| Keywords: | ill posed operator equations L generalized solution implicit iterative method discretization method smoothness level of L generalized solution |
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