一类非线性不适定问题的Tikhonov正则化  

Tikhonov regularization of a kind of nonlinear ill-posed problems

作　　者：杨润生[1] 李景[1] 欧云华[2] 

机构地区：[1]长沙理工大学数学与计算科学学院,长沙410076 [2]湖南工业大学,株洲412007

出　　处：《数学理论与应用》2006年第3期119-122,共4页Mathematical Theory and Applications

摘　　要：本文在B anach空间中,研究一类非线性不适定问题的正则化,所研究的算子是多值的,且是近拟的,假定原始问题是可解的,利用带双参数的T ikhonov正则化方法构造出逼近步骤.In this paper,we study Tiknonov regularization of a kind of nonlinear ill-posed problems in Banach spaces. The operators involoved are multi- valued and approximate. Supposee that the original problems are solvable,make use of Tikhonoov regularization with two parameters to construct approximate solution.

关 键 词：正则化 不适定问题 多值算子 

分 类 号：O177[理学—数学]