Letter to the Editor: A note on the preconditioned Gauss-Seidel (GS) method for linear systems

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Wen Li (J. Comput. Appl. Math., 182 (2005) 81–90) asserted that there are some errors in article by Hiroshi Niki, Kyouji Harada, Munenori Morimoto and Michio Sakakihara (J. Comput. Appl. Math., 164–165 (2004) 587–600). And Li presented a new proof for the corresponding results in H. Niki et al. In this paper, we point out some errors in Li’s assertion. Moreover, we show that a new proof presented by Li is imperfect.

论文关键词:G-S method,Preconditioning,M-splitting,H-splitting

论文评审过程:Received 16 December 2008, Revised 4 June 2009, Available online 21 August 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.08.098