不适定问题的Landweber迭代正则化方法研究  

Landweber Iterative Regularization Method for Ill-posed Problems

作　　者：徐磊 张虹[1] 高德宝[1] 宋千红[1] 张彩霞[1] 邵云虹 XU Lei;ZHANG Hong;GAO De-bao;SONG Qian-hong;ZHANG Cai-xia;SHAO Yun-hong(School of Science,Hei longjiang Bayi Agricultural University,Daqing 163319,China)

机构地区：[1]黑龙江八一农垦大学理学院,黑龙江大庆163000

出　　处：《通化师范学院学报》2021年第6期36-39,共4页Journal of Tonghua Normal University

基　　金：大庆市指导性科技计划项目(2020zd).

摘　　要：文章研究了解决不适定问题的Landweber迭代正则化法.证明了Landweber迭代正则化法的收敛性,并且利用Landweber迭代正则化法解决反向热传导问题.A Landweber iterative regularization method for solving ill-posed problems is studied in this paper.The convergence of Landweber iterative regularization method is proved,and the reverse heat conduction problem is solved by Landweber iterative regularization method.

关 键 词：不适定性 Landweber迭代 正则化 

分 类 号：O17[理学—数学]