Residential College | false |
Status | 已發表Published |
M-preconditioner for M-matrices | |
Jin X.-Q. | |
2006-01-15 | |
Conference Name | Meeting on Scientific Computing in Numerical PDEs, Matrix Theory and Engineering Application |
Source Publication | Applied Mathematics and Computation |
Volume | 172 |
Issue | 2 SPEC. ISS. |
Pages | 701-707 |
Conference Date | JAN 12, 2004 |
Conference Place | Univ 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. |
Keyword | M-matrix Pcg Method Preconditioner |
DOI | 10.1016/j.amc.2004.11.012 |
URL | View the original |
Language | 英語English |
WOS ID | WOS:000235557400004 |
Scopus ID | 2-s2.0-31644448058 |
Fulltext Access | |
Citation statistics | |
Document Type | Conference paper |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | Universidade de Macau |
First Author Affilication | University 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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