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M-preconditioner for M-matrices
Jin X.-Q.
2006-01-15
Conference NameMeeting on Scientific Computing in Numerical PDEs, Matrix Theory and Engineering Application
Source PublicationApplied Mathematics and Computation
Volume172
Issue2 SPEC. ISS.
Pages701-707
Conference DateJAN 12, 2004
Conference PlaceUniv Hong Kong, Hong Kong, PEOPLES R CHINA
Abstract

Linear 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English
WOS IDWOS:000235557400004
Scopus ID2-s2.0-31644448058
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Citation statistics
Document TypeConference paper
CollectionDEPARTMENT OF MATHEMATICS
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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