Open Science Research Excellence
%0 Journal Article
%A Yiqin Lin and  Liang Bao
%D 2018 
%J  International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
%B World Academy of Science, Engineering and Technology
%I International Science Index 143, 2018
%T Multilevel Arnoldi-Tikhonov Regularization Methods for Large-Scale Linear Ill-Posed Systems
%U http://waset.org/publications/10009769
%V 143
%X 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.
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