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| 算子和右端都近似给定的第一类算子方程的广义Arcangeli方法 | |
| 引用本文： | 李荷秾,候宗义. 算子和右端都近似给定的第一类算子方程的广义Arcangeli方法[J]. 高校应用数学学报(A辑), 1993, 0(4) |
| 作者姓名： | 李荷秾 候宗义 |
| 作者单位： | 上海工业大学(李荷秾)，复旦大学(候宗义) |
| 摘 要： | 本文利用正则化方法解算子和右端都是近似给定的第一类算子方程,利用广义Arcangeli准则决定正则参数,给出正则解的收敛性和渐近收敛阶估计,以及算子为Fredholm积分算子时的正则解的一致收敛性。 |
| 关 键 词： | 第一类算子方程 正则解 收敛性 一致收敛性 渐近收敛阶 |
THE GENERAL ARCANGELI''''S METHOD FOR AN OPERATOR EQUATION OF THE FIRST KIND WITH APPROXIMATE OPERATOR AND RIGHT-HAND SIDE |
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| Li Henong Hou Zongyi. THE GENERAL ARCANGELI''''S METHOD FOR AN OPERATOR EQUATION OF THE FIRST KIND WITH APPROXIMATE OPERATOR AND RIGHT-HAND SIDE[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 0(4) | |
| Authors: | Li Henong Hou Zongyi |
| Affiliation: | Li Henong Hou Zongyi(Shanghai Univ. of Technology) (Dept. of Math. Fudan Univ. ) |
| Abstract: | In this paper, the method of Tikhonov regularization is used in solving an operator equation of the first kind with approximate operator and right-hand side. We choose the regularization parameter by using the general Arcangeli' s criterion, give the convergence and estimation of the asymptotic orders of convergence of Tikhonov regular solution, and present the uniform convergence of the regular solution of an operator equation with Fredholm operator. |
| Keywords: | Operator Equation of the First Kind the Tikhonov Regular Solution the Convergence and the Uniform Convergence the Asymptotic Orders of Convergence. |
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