一组带扰积分算子M-P逆的抗扰投影逼近  

PERTURBED PROJECTION METHODS FOR M-P INVERSES OF INTEGRAL OPERATORS

作　　者：高洁[1] GAO Jie(School of Mathematics and Statistics,Wuhan University,Wuhan430072,Chin)

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2018年第4期751-760,共10页Journal of Mathematics

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.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.

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 

分 类 号：O241.2[理学—计算数学] O241.5[理学—数学]