Regularization by Global DGMRES Method for Ill-Posed Matrix Equation AXB=G

Vahid Hosseinabadi and Hossein Sadeghi Goughery

Advances in Mathematical Physics, 2026, vol. 2026, 1-10

Abstract: In this article, we deal with the solution of the linear, large-size, and ill-posed matrix equation AXB=G, whose matrix G is contaminated with noise. We apply Tikhonov regularization in combination with the Gl-DGMRES method to mitigate the effect of noise. Our implementation is performed on examples of image deblurring problems whose coefficient matrix is in the form of a Kronecker product. The observed improvement in PSNR and relative error in the regularized case using the proposed method, compared with the non-regularized cases and the regularized Global-LSMR approach, demonstrates the effectiveness of the proposed method.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:2139639

DOI: 10.1155/admp/2139639

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