一组带扰积分算子M-P逆的抗扰投影逼近

摘要

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.%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.