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M-preconditioner for M-matrices
Jin X.-Q.
Source PublicationApplied Mathematics and Computation
Issue2 SPEC. ISS.
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
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
AffiliationUniversidade de Macau
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Jin X.-Q.. M-preconditioner for M-matrices[C],2006:701-707.
APA Jin X.-Q..(2006).M-preconditioner for M-matrices.Applied Mathematics and Computation,172(2 SPEC. ISS.),701-707.
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