A KIND OF IMPLICIT ITERATIVE METHODS FOR ILL-POSEDOPERATOR EQUATIONS  

作　　者：Guo-qiang He Lin-clan Liu(Department of Mathematics, Shanghai University, Jiading Campus, Shanghai 201800, China) 

出　　处：《Journal of Computational Mathematics》1999年第3期275-284,共10页计算数学（英文）

摘　　要：In this paper we propose a kind of implicit iterative methods for solving ill-posed operator equations and discuss the properties of the methods in the case that the control parameter is fixed. The theoretical results show that the new methods have certain important features and can overcome some disadvantages of Tikhonov-type regularization and explicit iterative methods. Numerical examples are also given in the paper, which coincide well with theoretical results.In this paper we propose a kind of implicit iterative methods for solving ill-posed operator equations and discuss the properties of the methods in the case that the control parameter is fixed. The theoretical results show that the new methods have certain important features and can overcome some disadvantages of Tikhonov-type regularization and explicit iterative methods. Numerical examples are also given in the paper, which coincide well with theoretical results.

关 键 词：ill-posed equation implicit iterative method control parameter discrepamcy principle optimal convergence rate 

分 类 号：O241[理学—计算数学]