变分不等式证明正则化的线性不适定问题  

Regularization of Linear Ill-Posed Problems Proven by Variational Inequalities

作　　者：杨茜[1] 季光明[1] 郭二玲[1] 

机构地区：[1]成都理工大学管理科学学院,四川成都610059

出　　处：《太原师范学院学报（自然科学版）》2012年第3期19-21,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：学习过线性不适定问题正则化以后,发现关于Bregman距离的线性收敛率的证明,是在古典假设的一个标准原条件下推导出来的.利用变分不等式,我们将在文章中讨论一阶收敛率的情况,即残差法、偏差原则的Tikhonov正则化.Learning regularization of linear ill-posed problems later,finding out the proof of linear convergence rates with respect to the Bregman distance have been derived under the classical assumption of a standard source condition.Using the method of variational inequalities,we will be discussing convergence rates of first order both for the case of Residual method and Tikhonov regularization with discrepancy principle.

关 键 词：正则化 变分不等式 TIKHONOV正则化 收敛率 

分 类 号：O178[理学—数学]