@article{(Open Science Index):https://publications.waset.org/pdf/10009769, title = {Multilevel Arnoldi-Tikhonov Regularization Methods for Large-Scale Linear Ill-Posed Systems}, author = {Yiqin Lin and Liang Bao}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {12}, number = {11}, year = {2018}, pages = {218 - 224}, ee = {https://publications.waset.org/pdf/10009769}, url = {https://publications.waset.org/vol/143}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 143, 2018}, }