%0 Journal Article
	%A Yiqin Lin and  Liang Bao
	%D 2018
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 143, 2018
	%T Multilevel Arnoldi-Tikhonov Regularization Methods for Large-Scale Linear Ill-Posed Systems
	%U https://publications.waset.org/pdf/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.
	%P 218 - 224