On the stability of the incomplete LU-factorizationsand characterizations of H-matrices |
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| Authors: | A. Messaoudi |
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| Affiliation: | (1) Laboratoire d'Analyse Num'erique et d'Optimisation, UFR IEEA -- M3, Universit'e des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq Cedex, France , FR |
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| Abstract: | Summary. Meijerink and van der Vorst [8] have shown that the incomplete LU-factorizations are numerically stable for M-matrices. Varga, Saff and Mehrmann [16] gave some characterizations of the H-matrices by using the incomplete LU-factorizations of them. The purpose of this paper is to show that the incomplete LU-factorizations of an H-matrix are at least as stable as the complete LU-factorizations of its comparison matrix. We give also some new characterizations of the H-matrices in connection with their incomplete LU-factorizations. Received November 12, 1993 / Revised version received May 27, 1994 |
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| Keywords: | Mathematics Subject Classification (1991):69F10 |
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