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Bellalij, M., Reichel, L. and Sadok, H. (2015) Some Properties of Range Restricted GMRES Methods. Journal of Computational and Applied Mathematics, 290, 310-318.
https://doi.org/10.1016/j.cam.2015.05.008

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.