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M-preconditioner for M-matrices
Xiao-qing Jin
2006-01-15
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume172Issue:2Pages:701-707
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.

KeywordM-matrix Preconditioner Pcg Method
DOI10.1016/j.amc.2004.11.012
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000235557400004
PublisherELSEVIER SCIENCE INC
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Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorXiao-qing Jin
AffiliationDepartment of Mathematics, University of Macau, Macau, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Xiao-qing Jin. M-preconditioner for M-matrices[J]. Applied Mathematics and Computation,2006,172(2):701-707.
APA Xiao-qing Jin.(2006).M-preconditioner for M-matrices.Applied Mathematics and Computation,172(2),701-707.
MLA Xiao-qing Jin."M-preconditioner for M-matrices".Applied Mathematics and Computation 172.2(2006):701-707.
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