Multilevel Arnoldi-Tikhonov Regularization Methods for Large-Scale Linear Ill-Posed Systems

International Journal of Information Technology

Yiqin Lin ; Liang Bao

关键词: Discrete ill-posed problem;    Tikhonov regularization;    discrepancy principle;    Arnoldi process;    multilevel method.;   

DOI  :  10.1999/1307-6892/10009769

学科分类：计算机应用

来源: World Academy of Science, Engineering and Technology (W A S E T)

【 摘 要 】

This paper is devoted to the numerical solution of large-scale linear ill-posed systems. A multilevel regularization method is proposed. This method is based on a synthesis of the Arnoldi-Tikhonov regularization technique and the multilevel technique. We show that if the Arnoldi-Tikhonov method is a regularization method, then the multilevel method is also a regularization one. Numerical experiments presented in this paper illustrate the effectiveness of the proposed method.

【 授权许可】

Unknown