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| 摘要: |
| 本文研究了一类算子方程及其扰动系统计算格式面临的格式扰动问题.利用最小二乘投影的方法，获得了最佳逼近解的投影近似格式经得起稳定扰动取决于λ的选取这一结果.推广了从特殊算子到一般有限秩算子这一结果. |
| 关键词: 算子方程 稳定扰动 最小二乘投影法 计算格式 特征值 |
| DOI： |
| 分类号:O241.2;O241.5 |
| 基金项目: |
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| PERTURBED PROJECTION METHODS FOR M-P INVERSES OF INTEGRAL OPERATORS |
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GAO Jie
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| Abstract: |
| In this paper, we explore the format perturbation problem in computational scheme of a class of operator equations and its perturbation systems. Through the least squares projection method, we obtain that the projection approximation format of the optimal approximate solution can withstand stable perturbation depending on the selection of λ, which generalizes the result from the special operator to the general finite rank operator. |
| Key words: operator equation stable perturbation least squares projection method computational scheme eigenvalue |
