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

Authors:
Toshiyuki Kohno;Hiroshi Niki
Affiliations:
Department of Information Science, Faculty of Informatics, Okayama University of Science, Japan;Department of Information Science, Faculty of Informatics, Okayama University of Science, Japan
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 4
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A note on the preconditioned Gauss-Seidal (GS) method for linear systems

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A note on the preconditioner Pm=(I+Sm)

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Abstract

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.