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M-preconditioner for M-matrices
Jin X.-Q.
2006-01-15
Source PublicationApplied Mathematics and Computation
Volume172
Issue2 SPEC. ISS.
Pages701-707
AbstractLinear systems with M-matrices often appear in a wide variety of areas of biological, physical and social sciences, see [A. Berman, R. Plemmons, Nonnegative Matrices in Mathematical Sciences, SIAM Press, Philadelphia, 1994]. In this paper, we propose a preconditioner for solving the system with symmetric nonsingular M-matrix by the preconditioned conjugate gradient (PCG) method. We show that our proconditioner increases the convergence rate of the PCG method and reduces the operation cost. Numerical results are also given. © 2004 Elsevier Inc. All rights reserved.
KeywordM-matrix PCG method Preconditioner
DOI10.1016/j.amc.2004.11.012
URLView the original
Language英語
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF MATHEMATICS
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Jin X.-Q.. M-preconditioner for M-matrices[C],2006:701-707.
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