TY - JOUR
T1 - The Regularized Global GMERR Method for Solving Large-Scale Linear Discrete Ill-Posed Problems
AU - Zhang , Hui
AU - Dai , Hua
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 874
EP - 894
PY - 2024
DA - 2024/09
SN - 14
DO - http://doi.org/10.4208/eajam.2023-161.081023
UR - https://global-sci.org/intro/article_detail/eajam/23441.html
KW - Linear discrete ill-posed problems, multiple right-hand sides, global GMERR method, regularizing properties.
AB - <p style="text-align: justify;">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.</p>