| 第一类算子方程的广义Arcangeli方法 |
| |
| 引用本文： | 侯宗义. 第一类算子方程的广义Arcangeli方法[J]. 复旦学报(自然科学版), 1992, 31(2): 142-147 |
| |
| 作者姓名： | 侯宗义 |
| |
| 作者单位： | 复旦大学数学系，复旦大学数学系 1989级博士生 |
| |
| 摘 要： |
|
| 关 键 词： | A－方法 积分方程 第一类 算子方程 |
THE GENERAL ARCANGELI''''S METHOD FOR AN OPERATOR EQUATION OF THE FIRST KIND |
| |
| Li Henong,Hou Zongyi. THE GENERAL ARCANGELI''''S METHOD FOR AN OPERATOR EQUATION OF THE FIRST KIND[J]. Journal of Fudan University(Natural Science), 1992, 31(2): 142-147 |
| |
| Authors: | Li Henong Hou Zongyi |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | In this paper, the method of Tikhonov regularization is used in solving an operator equation of the first kind with an approximate right-hand side.The regularization parameter is chosen by applying the general Arcangeli's criterion, and the convergence of the regular solution is proved and the uniform convergence is shown for the regular solution of an operator equation with Fredholm operator. |
| |
| Keywords: | convergence uniform convergence Fredholm integral equation operator equation of the first kind Tikhonov regular solution. |
| 本文献已被 CNKI 维普 等数据库收录！ |
