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Lin, Y., Bao, L. and Cao, Y. (2013) Augmented Arnoldi-Tikhonov Regularization Methods for Solving Large-Scale Linear Ill-Posed Systems. Mathematical Problems in Engineering, 2013, 1-11.
https://doi.org/10.1155/2013/548487

has been cited by the following article:

• TITLE: Some Results on the Range-Restricted GMRES Method

  AUTHORS: Yiqin Lin

  KEYWORDS: Nonsymmetric Linear System, Krylov Subspace Method, Arnoldi Process, GMRES, RRGMRES

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.12, December 25, 2023

  ABSTRACT: In this paper we reconsider the range-restricted GMRES (RRGMRES) method for solving nonsymmetric linear systems. We first review an important result for the usual GMRES method. Then we give an example to show that the range-restricted GMRES method does not admit such a result. Finally, we give a modified result for the range-restricted GMRES method. We point out that the modified version can be used to show that the range-restricted GMRES method is also a regularization method for solving linear ill-posed problems.