Year: 2024
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 4 : pp. 874–894
Abstract
For the large-scale linear discrete ill-posed problems with multiple right-hand sides, the global Krylov subspace iterative methods have received a lot of attention. In this paper, we analyze the regularizing properties of the global generalized minimum error method (GMERR), and develop a regularized global GMERR method for solving linear discrete ill-posed problems with multiple right-hand sides. The efficiency of the proposed method is confirmed by the numerical experiments on test matrices.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-161.081023
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 4 : pp. 874–894
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Linear discrete ill-posed problems multiple right-hand sides global GMERR method regularizing properties.