解第一类算子方程的一种正则化方法  

A Study on a Regularization Method for the Operator Equation of the First Kind

作　　者：宋迎春[1] 藏丽珠[1] 潘状元[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2013年第3期83-85,共3页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(19971022);黑龙江省自然科学基金(A201214)

摘　　要：提出一种新的对算子及右端项都近似给定的第一类算子方程的正则化方法,且依据广义Arcangeli方法选取正则参数,证明正则解的收敛性,且与Tikhonov正则化方法比较,提高了正则解的渐近阶估计.This paper presents a new regularization method for solving the operator equation of the first kind with approximate operator and the right-hand side, and by applying the generalized Arcangeli＇ s criterion to choose the regularization parameter, the convergence of the regularization is proved and the asymptotic order of the regularized solution is improved.

关 键 词：第一类算子方程 不适定问题 正则化方法 广义Arcangeli方法 

分 类 号：O241.5[理学—计算数学]